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GCF of 452/687, 832/317

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 452/687, 832/317 i.e 4/217779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/687, 832/317.

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 452/687,832/317?

Given fractions are 452/687,832/317

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 452/687,832/317, numerators are 452,832

Denominators are 687,317

The GCF of 452,832 is 4 .

LCM of 687,317 is 217779.

The greatest common factor of 452/687,832/317 = [GCF of 452,832]/[LCM of 687,317]= 4/217779

Therefore, the GCF of 452/687,832/317 is 4/217779.

Greatest Common Factor of 452,832

To find the highest common factor of 452,832, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The HCF of 452,832 is 4.

Lets's calculate GCF of 452,832

Greatest Common Factor (GCF) of 452,832 By Common Division

2 452, 832
2 226, 416
113, 208

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

Greatest Common Factor of 452,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,832 By Matching Biggest Common Factor Method

Now, list down the factors of 452

:

1,2,4,113,226,452

Now, list down the factors of 832

:

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 452,832 . The biggest common factor number is the GCF number.
So the greatest common factor 452,832 is 4.

Lets's calculate LCM of 687,317

Lowest Common Multiple of 687,317 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 217779

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/217779

Therefore, the GCF of Fractions 452/687,832/317 is 4/217779

Least Common Multiple of 687,317 with GCF Formula

Least Common Multiple of 687,317 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 687,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,317) = 1

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

GCF(687,317) x common factors =1 x 1 = 1

LCM(687,317) = ( 687 × 317 ) / 1

LCM(687,317) = 217779 / 1

LCM(687,317) = 217779


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FAQs on GCF of Fractions of 452/687, 832/317

1. What is the HCF of 452,832?

The HCF of 452,832 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 452/687, 832/317?

Answer: GCF of Numerators as per given numbers 452/687, 832/317 is

GCF of Numerators i.e. for 452,832 is 4

LCM of denominators i.e. for 687,317 is 217779.

Thus, GCF of Fractions is 4/217779.Finally, GCF of Fractions for 452/687, 832/317 is 4/217779.