How to Find GCF of 2979/393, 9557/749?

GCF of 2979/393, 9557/749

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 2979/393, 9557/749 i.e 1/294357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2979/393, 9557/749.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2979/393,9557/749?

Given fractions are 2979/393,9557/749

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 2979/393,9557/749, numerators are 2979,9557

Denominators are 393,749

The GCF of 2979,9557 is 1 .

LCM of 393,749 is 294357.

The greatest common factor of 2979/393,9557/749 = [GCF of 2979,9557]/[LCM of 393,749]= 1/294357

Therefore, the GCF of 2979/393,9557/749 is 1/294357.

Greatest Common Factor of 2979,9557

To find the highest common factor of 2979,9557, we have to find the factors of both numbers and list the highest common factor.

The factors of 2979 are 1, 3, 9, 331, 993, 2979

The factors of 9557 are 1, 19, 503, 9557

The HCF of 2979,9557 is 1.

Lets's calculate GCF of 2979,9557

Greatest Common Factor (GCF) of 2979,9557 By Common Division

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

Greatest Common Factor of 2979,9557 By Matching Biggest Common Factor Method

Now, list down the factors of 2979

1,3,9,331,993,2979

Now, list down the factors of 9557

1,19,503,9557

Greatest Common Factor

We found the factors 2979,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,9557 is 1.

Lets's calculate LCM of 393,749

Lowest Common Multiple of 393,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 294357

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294357

Therefore, the GCF of Fractions 2979/393,9557/749 is 1/294357

Least Common Multiple of 393,749 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 393,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,749) = 1

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

GCF(393,749) x common factors =1 x 1 = 1

LCM(393,749) = ( 393 × 749 ) / 1

LCM(393,749) = 294357 / 1

LCM(393,749) = 294357

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FAQs on GCF of Fractions of 2979/393, 9557/749

1. What is the HCF of 2979,9557?

The HCF of 2979,9557 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 2979/393, 9557/749?

Answer: GCF of Numerators as per given numbers 2979/393, 9557/749 is

GCF of Numerators i.e. for 2979,9557 is 1

LCM of denominators i.e. for 393,749 is 294357.

Thus, GCF of Fractions is 1/294357.Finally, GCF of Fractions for 2979/393, 9557/749 is 1/294357.