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 8311/671, 1671/719

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 8311/671, 1671/719 i.e 1/482449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8311/671, 1671/719.

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 8311/671,1671/719?

Given fractions are 8311/671,1671/719

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 8311/671,1671/719, numerators are 8311,1671

Denominators are 671,719

The GCF of 8311,1671 is 1 .

LCM of 671,719 is 482449.

The greatest common factor of 8311/671,1671/719 = [GCF of 8311,1671]/[LCM of 671,719]= 1/482449

Therefore, the GCF of 8311/671,1671/719 is 1/482449.

Greatest Common Factor of 8311,1671

To find the highest common factor of 8311,1671, we have to find the factors of both numbers and list the highest common factor.

The factors of 8311 are 1, 8311

The factors of 1671 are 1, 3, 557, 1671

The HCF of 8311,1671 is 1.

Lets's calculate GCF of 8311,1671

Greatest Common Factor (GCF) of 8311,1671 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8311,1671 By Matching Biggest Common Factor Method

Greatest Common Factor of 8311,1671 By Matching Biggest Common Factor Method

Now, list down the factors of 8311

:

1,8311

Now, list down the factors of 1671

:

1,3,557,1671

Greatest Common Factor

We found the factors 8311,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 8311,1671 is 1.

Lets's calculate LCM of 671,719

Lowest Common Multiple of 671,719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 482449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482449

Therefore, the GCF of Fractions 8311/671,1671/719 is 1/482449

Least Common Multiple of 671,719 with GCF Formula

Least Common Multiple of 671,719 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 671,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,719) = 1

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

GCF(671,719) x common factors =1 x 1 = 1

LCM(671,719) = ( 671 × 719 ) / 1

LCM(671,719) = 482449 / 1

LCM(671,719) = 482449


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8311/671, 1671/719

1. What is the HCF of 8311,1671?

The HCF of 8311,1671 is 1

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 8311/671, 1671/719?

Answer: GCF of Numerators as per given numbers 8311/671, 1671/719 is

GCF of Numerators i.e. for 8311,1671 is 1

LCM of denominators i.e. for 671,719 is 482449.

Thus, GCF of Fractions is 1/482449.Finally, GCF of Fractions for 8311/671, 1671/719 is 1/482449.