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GCF of 265/959, 970/354

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 265/959, 970/354 i.e 5/339486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 265/959, 970/354.

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 265/959,970/354?

Given fractions are 265/959,970/354

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 265/959,970/354, numerators are 265,970

Denominators are 959,354

The GCF of 265,970 is 5 .

LCM of 959,354 is 339486.

The greatest common factor of 265/959,970/354 = [GCF of 265,970]/[LCM of 959,354]= 5/339486

Therefore, the GCF of 265/959,970/354 is 5/339486.

Greatest Common Factor of 265,970

To find the highest common factor of 265,970, we have to find the factors of both numbers and list the highest common factor.

The factors of 265 are 1, 5, 53, 265

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The HCF of 265,970 is 5.

Lets's calculate GCF of 265,970

Greatest Common Factor (GCF) of 265,970 By Common Division

5 265, 970
53, 194

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

Greatest Common Factor of 265,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,970 By Matching Biggest Common Factor Method

Now, list down the factors of 265

:

1,5,53,265

Now, list down the factors of 970

:

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 265,970 . The biggest common factor number is the GCF number.
So the greatest common factor 265,970 is 5.

Lets's calculate LCM of 959,354

Lowest Common Multiple of 959,354 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 339486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/339486

Therefore, the GCF of Fractions 265/959,970/354 is 5/339486

Least Common Multiple of 959,354 with GCF Formula

Least Common Multiple of 959,354 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 959,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,354) = 1

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

GCF(959,354) x common factors =1 x 1 = 1

LCM(959,354) = ( 959 × 354 ) / 1

LCM(959,354) = 339486 / 1

LCM(959,354) = 339486


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FAQs on GCF of Fractions of 265/959, 970/354

1. What is the HCF of 265,970?

The HCF of 265,970 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 265/959, 970/354?

Answer: GCF of Numerators as per given numbers 265/959, 970/354 is

GCF of Numerators i.e. for 265,970 is 5

LCM of denominators i.e. for 959,354 is 339486.

Thus, GCF of Fractions is 5/339486.Finally, GCF of Fractions for 265/959, 970/354 is 5/339486.