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GCF of 904/687, 274/332

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 904/687, 274/332 i.e 2/228084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/687, 274/332.

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 904/687,274/332?

Given fractions are 904/687,274/332

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 904/687,274/332, numerators are 904,274

Denominators are 687,332

The GCF of 904,274 is 2 .

LCM of 687,332 is 228084.

The greatest common factor of 904/687,274/332 = [GCF of 904,274]/[LCM of 687,332]= 2/228084

Therefore, the GCF of 904/687,274/332 is 2/228084.

Greatest Common Factor of 904,274

To find the highest common factor of 904,274, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 274 are 1, 2, 137, 274

The HCF of 904,274 is 2.

Lets's calculate GCF of 904,274

Greatest Common Factor (GCF) of 904,274 By Common Division

2 904, 274
452, 137

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

Greatest Common Factor of 904,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,274 By Matching Biggest Common Factor Method

Now, list down the factors of 904

:

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

Now, list down the factors of 274

:

1,2,137,274

Greatest Common Factor

We found the factors 904,274 . The biggest common factor number is the GCF number.
So the greatest common factor 904,274 is 2.

Lets's calculate LCM of 687,332

Lowest Common Multiple of 687,332 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 228084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228084

Therefore, the GCF of Fractions 904/687,274/332 is 2/228084

Least Common Multiple of 687,332 with GCF Formula

Least Common Multiple of 687,332 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 687,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,332) = 1

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

GCF(687,332) x common factors =1 x 1 = 1

LCM(687,332) = ( 687 × 332 ) / 1

LCM(687,332) = 228084 / 1

LCM(687,332) = 228084


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FAQs on GCF of Fractions of 904/687, 274/332

1. What is the HCF of 904,274?

The HCF of 904,274 is 2

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 904/687, 274/332?

Answer: GCF of Numerators as per given numbers 904/687, 274/332 is

GCF of Numerators i.e. for 904,274 is 2

LCM of denominators i.e. for 687,332 is 228084.

Thus, GCF of Fractions is 2/228084.Finally, GCF of Fractions for 904/687, 274/332 is 2/228084.