LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 896/671, 1666/884

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 896/671, 1666/884 i.e 14/593164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/671, 1666/884.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 896/671,1666/884?

Given fractions are 896/671,1666/884

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 896/671,1666/884, numerators are 896,1666

Denominators are 671,884

The GCF of 896,1666 is 14 .

LCM of 671,884 is 593164.

The greatest common factor of 896/671,1666/884 = [GCF of 896,1666]/[LCM of 671,884]= 14/593164

Therefore, the GCF of 896/671,1666/884 is 14/593164.

Greatest Common Factor of 896,1666

To find the highest common factor of 896,1666, we have to find the factors of both numbers and list the highest common factor.

The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

The factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666

The HCF of 896,1666 is 14.

Lets's calculate GCF of 896,1666

Greatest Common Factor (GCF) of 896,1666 By Common Division

2 896, 1666
7 448, 833
64, 119

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 896,1666 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,1666 By Matching Biggest Common Factor Method

Now, list down the factors of 896

:

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Now, list down the factors of 1666

:

1,2,7,14,17,34,49,98,119,238,833,1666

Greatest Common Factor

We found the factors 896,1666 . The biggest common factor number is the GCF number.
So the greatest common factor 896,1666 is 14.


Lets's calculate LCM of 671,884

Lowest Common Multiple of 671,884 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 593164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/593164

Therefore, the GCF of Fractions 896/671,1666/884 is 14/593164

Least Common Multiple of 671,884 with GCF Formula

Least Common Multiple of 671,884 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 671,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,884) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(671,884) x common factors =1 x 1 = 1

LCM(671,884) = ( 671 × 884 ) / 1

LCM(671,884) = 593164 / 1

LCM(671,884) = 593164


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 896/671, 1666/884

1. What is the HCF of 896,1666?

The HCF of 896,1666 is 14

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 896/671, 1666/884?

Answer: GCF of Numerators as per given numbers 896/671, 1666/884 is

GCF of Numerators i.e. for 896,1666 is 14

LCM of denominators i.e. for 671,884 is 593164.

Thus, GCF of Fractions is 14/593164.Finally, GCF of Fractions for 896/671, 1666/884 is 14/593164.