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GCF of 325/434, 790/271

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 325/434, 790/271 i.e 5/117614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/434, 790/271.

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 325/434,790/271?

Given fractions are 325/434,790/271

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 325/434,790/271, numerators are 325,790

Denominators are 434,271

The GCF of 325,790 is 5 .

LCM of 434,271 is 117614.

The greatest common factor of 325/434,790/271 = [GCF of 325,790]/[LCM of 434,271]= 5/117614

Therefore, the GCF of 325/434,790/271 is 5/117614.

Greatest Common Factor of 325,790

To find the highest common factor of 325,790, 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 790 are 1, 2, 5, 10, 79, 158, 395, 790

The HCF of 325,790 is 5.

Lets's calculate GCF of 325,790

Greatest Common Factor (GCF) of 325,790 By Common Division

5 325, 790
65, 158

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

Greatest Common Factor of 325,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,790 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 790

:

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 325,790 . The biggest common factor number is the GCF number.
So the greatest common factor 325,790 is 5.

Lets's calculate LCM of 434,271

Lowest Common Multiple of 434,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/117614

Therefore, the GCF of Fractions 325/434,790/271 is 5/117614

Least Common Multiple of 434,271 with GCF Formula

Least Common Multiple of 434,271 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 434,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,271) = 1

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

GCF(434,271) x common factors =1 x 1 = 1

LCM(434,271) = ( 434 × 271 ) / 1

LCM(434,271) = 117614 / 1

LCM(434,271) = 117614


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FAQs on GCF of Fractions of 325/434, 790/271

1. What is the HCF of 325,790?

The HCF of 325,790 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 325/434, 790/271?

Answer: GCF of Numerators as per given numbers 325/434, 790/271 is

GCF of Numerators i.e. for 325,790 is 5

LCM of denominators i.e. for 434,271 is 117614.

Thus, GCF of Fractions is 5/117614.Finally, GCF of Fractions for 325/434, 790/271 is 5/117614.