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GCF of 844/37, 796/274

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 844/37, 796/274 i.e 4/10138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/37, 796/274.

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 844/37,796/274?

Given fractions are 844/37,796/274

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 844/37,796/274, numerators are 844,796

Denominators are 37,274

The GCF of 844,796 is 4 .

LCM of 37,274 is 10138.

The greatest common factor of 844/37,796/274 = [GCF of 844,796]/[LCM of 37,274]= 4/10138

Therefore, the GCF of 844/37,796/274 is 4/10138.

Greatest Common Factor of 844,796

To find the highest common factor of 844,796, 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 796 are 1, 2, 4, 199, 398, 796

The HCF of 844,796 is 4.

Lets's calculate GCF of 844,796

Greatest Common Factor (GCF) of 844,796 By Common Division

2 844, 796
2 422, 398
211, 199

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

Greatest Common Factor of 844,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,796 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 796

:

1,2,4,199,398,796

Greatest Common Factor

We found the factors 844,796 . The biggest common factor number is the GCF number.
So the greatest common factor 844,796 is 4.

Lets's calculate LCM of 37,274

Lowest Common Multiple of 37,274 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10138

Therefore, the GCF of Fractions 844/37,796/274 is 4/10138

Least Common Multiple of 37,274 with GCF Formula

Least Common Multiple of 37,274 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 37,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,274) = 1

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

GCF(37,274) x common factors =1 x 1 = 1

LCM(37,274) = ( 37 × 274 ) / 1

LCM(37,274) = 10138 / 1

LCM(37,274) = 10138


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FAQs on GCF of Fractions of 844/37, 796/274

1. What is the HCF of 844,796?

The HCF of 844,796 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 844/37, 796/274?

Answer: GCF of Numerators as per given numbers 844/37, 796/274 is

GCF of Numerators i.e. for 844,796 is 4

LCM of denominators i.e. for 37,274 is 10138.

Thus, GCF of Fractions is 4/10138.Finally, GCF of Fractions for 844/37, 796/274 is 4/10138.