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GCF of 309/44, 359/252

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 309/44, 359/252 i.e 1/2772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 309/44, 359/252.

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 309/44,359/252?

Given fractions are 309/44,359/252

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 309/44,359/252, numerators are 309,359

Denominators are 44,252

The GCF of 309,359 is 1 .

LCM of 44,252 is 2772.

The greatest common factor of 309/44,359/252 = [GCF of 309,359]/[LCM of 44,252]= 1/2772

Therefore, the GCF of 309/44,359/252 is 1/2772.

Greatest Common Factor of 309,359

To find the highest common factor of 309,359, we have to find the factors of both numbers and list the highest common factor.

The factors of 309 are 1, 3, 103, 309

The factors of 359 are 1, 359

The HCF of 309,359 is 1.

Lets's calculate GCF of 309,359

Greatest Common Factor (GCF) of 309,359 By Common Division

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

Greatest Common Factor of 309,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,359 By Matching Biggest Common Factor Method

Now, list down the factors of 309

:

1,3,103,309

Now, list down the factors of 359

:

1,359

Greatest Common Factor

We found the factors 309,359 . The biggest common factor number is the GCF number.
So the greatest common factor 309,359 is 1.

Lets's calculate LCM of 44,252

Lowest Common Multiple of 44,252 using Common Division

2 44, 252
2 22, 126
11, 63

∴ So the LCM of the given numbers is 2 x 2 x 11 x 63 = 2772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2772

Therefore, the GCF of Fractions 309/44,359/252 is 1/2772

Least Common Multiple of 44,252 with GCF Formula

Least Common Multiple of 44,252 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 44,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,252) = 4

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

GCF(44,252) x common factors =4 x 1 = 4

LCM(44,252) = ( 44 × 252 ) / 4

LCM(44,252) = 11088 / 4

LCM(44,252) = 2772


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FAQs on GCF of Fractions of 309/44, 359/252

1. What is the HCF of 309,359?

The HCF of 309,359 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 309/44, 359/252?

Answer: GCF of Numerators as per given numbers 309/44, 359/252 is

GCF of Numerators i.e. for 309,359 is 1

LCM of denominators i.e. for 44,252 is 2772.

Thus, GCF of Fractions is 1/2772.Finally, GCF of Fractions for 309/44, 359/252 is 1/2772.