How to Find GCF of 2957/231, 2693/6428?

GCF of 2957/231, 2693/6428

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 2957/231, 2693/6428 i.e 1/1484868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2957/231, 2693/6428.

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 2957/231,2693/6428?

Given fractions are 2957/231,2693/6428

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 2957/231,2693/6428, numerators are 2957,2693

Denominators are 231,6428

The GCF of 2957,2693 is 1 .

LCM of 231,6428 is 1484868.

The greatest common factor of 2957/231,2693/6428 = [GCF of 2957,2693]/[LCM of 231,6428]= 1/1484868

Therefore, the GCF of 2957/231,2693/6428 is 1/1484868.

Greatest Common Factor of 2957,2693

To find the highest common factor of 2957,2693, we have to find the factors of both numbers and list the highest common factor.

The factors of 2957 are 1, 2957

The factors of 2693 are 1, 2693

The HCF of 2957,2693 is 1.

Lets's calculate GCF of 2957,2693

Greatest Common Factor (GCF) of 2957,2693 By Common Division

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

Greatest Common Factor of 2957,2693 By Matching Biggest Common Factor Method

Now, list down the factors of 2957

1,2957

Now, list down the factors of 2693

1,2693

Greatest Common Factor

We found the factors 2957,2693 . The biggest common factor number is the GCF number.
So the greatest common factor 2957,2693 is 1.

Lets's calculate LCM of 231,6428

Lowest Common Multiple of 231,6428 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1484868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1484868

Therefore, the GCF of Fractions 2957/231,2693/6428 is 1/1484868

Least Common Multiple of 231,6428 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 231,6428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,6428) = 1

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

GCF(231,6428) x common factors =1 x 1 = 1

LCM(231,6428) = ( 231 × 6428 ) / 1

LCM(231,6428) = 1484868 / 1

LCM(231,6428) = 1484868

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2957/231, 2693/6428

1. What is the HCF of 2957,2693?

The HCF of 2957,2693 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 2957/231, 2693/6428?

Answer: GCF of Numerators as per given numbers 2957/231, 2693/6428 is

GCF of Numerators i.e. for 2957,2693 is 1

LCM of denominators i.e. for 231,6428 is 1484868.

Thus, GCF of Fractions is 1/1484868.Finally, GCF of Fractions for 2957/231, 2693/6428 is 1/1484868.