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GCF of 325/688, 140/492

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 325/688, 140/492 i.e 5/84624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/688, 140/492.

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 325/688,140/492?

Given fractions are 325/688,140/492

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 325/688,140/492, numerators are 325,140

Denominators are 688,492

The GCF of 325,140 is 5 .

LCM of 688,492 is 84624.

The greatest common factor of 325/688,140/492 = [GCF of 325,140]/[LCM of 688,492]= 5/84624

Therefore, the GCF of 325/688,140/492 is 5/84624.

Greatest Common Factor of 325,140

To find the highest common factor of 325,140, we have to find the factors of both numbers and list the highest common factor.

The factors of 325 are 1, 5, 13, 25, 65, 325

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The HCF of 325,140 is 5.

Lets's calculate GCF of 325,140

Greatest Common Factor (GCF) of 325,140 By Common Division

5 325, 140
65, 28

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 325,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,140 By Matching Biggest Common Factor Method

Now, list down the factors of 325

:

1,5,13,25,65,325

Now, list down the factors of 140

:

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 325,140 . The biggest common factor number is the GCF number.
So the greatest common factor 325,140 is 5.

Lets's calculate LCM of 688,492

Lowest Common Multiple of 688,492 using Common Division

2 688, 492
2 344, 246
172, 123

∴ So the LCM of the given numbers is 2 x 2 x 172 x 123 = 84624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/84624

Therefore, the GCF of Fractions 325/688,140/492 is 5/84624

Least Common Multiple of 688,492 with GCF Formula

Least Common Multiple of 688,492 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 688,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,492) = 4

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

GCF(688,492) x common factors =4 x 1 = 4

LCM(688,492) = ( 688 × 492 ) / 4

LCM(688,492) = 338496 / 4

LCM(688,492) = 84624


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FAQs on GCF of Fractions of 325/688, 140/492

1. What is the HCF of 325,140?

The HCF of 325,140 is 5

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 325/688, 140/492?

Answer: GCF of Numerators as per given numbers 325/688, 140/492 is

GCF of Numerators i.e. for 325,140 is 5

LCM of denominators i.e. for 688,492 is 84624.

Thus, GCF of Fractions is 5/84624.Finally, GCF of Fractions for 325/688, 140/492 is 5/84624.