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 844/56, 904/176

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 844/56, 904/176 i.e 4/1232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/56, 904/176.

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 844/56,904/176?

Given fractions are 844/56,904/176

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 844/56,904/176, numerators are 844,904

Denominators are 56,176

The GCF of 844,904 is 4 .

LCM of 56,176 is 1232.

The greatest common factor of 844/56,904/176 = [GCF of 844,904]/[LCM of 56,176]= 4/1232

Therefore, the GCF of 844/56,904/176 is 4/1232.

Greatest Common Factor of 844,904

To find the highest common factor of 844,904, we have to find the factors of both numbers and list the highest common factor.

The factors of 844 are 1, 2, 4, 211, 422, 844

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

The HCF of 844,904 is 4.

Lets's calculate GCF of 844,904

Greatest Common Factor (GCF) of 844,904 By Common Division

2 844, 904
2 422, 452
211, 226

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 844,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,904 By Matching Biggest Common Factor Method

Now, list down the factors of 844

:

1,2,4,211,422,844

Now, list down the factors of 904

:

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 844,904 . The biggest common factor number is the GCF number.
So the greatest common factor 844,904 is 4.

Lets's calculate LCM of 56,176

Lowest Common Multiple of 56,176 using Common Division

2 56, 176
2 28, 88
2 14, 44
7, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 22 = 1232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1232

Therefore, the GCF of Fractions 844/56,904/176 is 4/1232

Least Common Multiple of 56,176 with GCF Formula

Least Common Multiple of 56,176 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 56,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,176) = 8

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

GCF(56,176) x common factors =8 x 1 = 8

LCM(56,176) = ( 56 × 176 ) / 8

LCM(56,176) = 9856 / 8

LCM(56,176) = 1232


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 844/56, 904/176

1. What is the HCF of 844,904?

The HCF of 844,904 is 4

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 844/56, 904/176?

Answer: GCF of Numerators as per given numbers 844/56, 904/176 is

GCF of Numerators i.e. for 844,904 is 4

LCM of denominators i.e. for 56,176 is 1232.

Thus, GCF of Fractions is 4/1232.Finally, GCF of Fractions for 844/56, 904/176 is 4/1232.