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GCF of 275/526, 239/422

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 275/526, 239/422 i.e 1/110986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/526, 239/422.

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 275/526,239/422?

Given fractions are 275/526,239/422

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 275/526,239/422, numerators are 275,239

Denominators are 526,422

The GCF of 275,239 is 1 .

LCM of 526,422 is 110986.

The greatest common factor of 275/526,239/422 = [GCF of 275,239]/[LCM of 526,422]= 1/110986

Therefore, the GCF of 275/526,239/422 is 1/110986.

Greatest Common Factor of 275,239

To find the highest common factor of 275,239, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

The factors of 239 are 1, 239

The HCF of 275,239 is 1.

Lets's calculate GCF of 275,239

Greatest Common Factor (GCF) of 275,239 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 275,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,239 By Matching Biggest Common Factor Method

Now, list down the factors of 275

:

1,5,11,25,55,275

Now, list down the factors of 239

:

1,239

Greatest Common Factor

We found the factors 275,239 . The biggest common factor number is the GCF number.
So the greatest common factor 275,239 is 1.

Lets's calculate LCM of 526,422

Lowest Common Multiple of 526,422 using Common Division

2 526, 422
263, 211

∴ So the LCM of the given numbers is 2 x 263 x 211 = 110986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110986

Therefore, the GCF of Fractions 275/526,239/422 is 1/110986

Least Common Multiple of 526,422 with GCF Formula

Least Common Multiple of 526,422 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 526,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,422) = 2

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

GCF(526,422) x common factors =2 x 1 = 2

LCM(526,422) = ( 526 × 422 ) / 2

LCM(526,422) = 221972 / 2

LCM(526,422) = 110986


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FAQs on GCF of Fractions of 275/526, 239/422

1. What is the HCF of 275,239?

The HCF of 275,239 is 1

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 275/526, 239/422?

Answer: GCF of Numerators as per given numbers 275/526, 239/422 is

GCF of Numerators i.e. for 275,239 is 1

LCM of denominators i.e. for 526,422 is 110986.

Thus, GCF of Fractions is 1/110986.Finally, GCF of Fractions for 275/526, 239/422 is 1/110986.