How to Find GCF of 921/294, 2428/7723?

GCF of 921/294, 2428/7723

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 921/294, 2428/7723 i.e 1/2270562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/294, 2428/7723.

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 921/294,2428/7723?

Given fractions are 921/294,2428/7723

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 921/294,2428/7723, numerators are 921,2428

Denominators are 294,7723

The GCF of 921,2428 is 1 .

LCM of 294,7723 is 2270562.

The greatest common factor of 921/294,2428/7723 = [GCF of 921,2428]/[LCM of 294,7723]= 1/2270562

Therefore, the GCF of 921/294,2428/7723 is 1/2270562.

Greatest Common Factor of 921,2428

To find the highest common factor of 921,2428, we have to find the factors of both numbers and list the highest common factor.

The factors of 921 are 1, 3, 307, 921

The factors of 2428 are 1, 2, 4, 607, 1214, 2428

The HCF of 921,2428 is 1.

Lets's calculate GCF of 921,2428

Greatest Common Factor (GCF) of 921,2428 By Common Division

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

Greatest Common Factor of 921,2428 By Matching Biggest Common Factor Method

Now, list down the factors of 921

1,3,307,921

Now, list down the factors of 2428

1,2,4,607,1214,2428

Greatest Common Factor

We found the factors 921,2428 . The biggest common factor number is the GCF number.
So the greatest common factor 921,2428 is 1.

Lets's calculate LCM of 294,7723

Lowest Common Multiple of 294,7723 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2270562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2270562

Therefore, the GCF of Fractions 921/294,2428/7723 is 1/2270562

Least Common Multiple of 294,7723 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 294,7723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,7723) = 1

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

GCF(294,7723) x common factors =1 x 1 = 1

LCM(294,7723) = ( 294 × 7723 ) / 1

LCM(294,7723) = 2270562 / 1

LCM(294,7723) = 2270562

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FAQs on GCF of Fractions of 921/294, 2428/7723

1. What is the HCF of 921,2428?

The HCF of 921,2428 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 921/294, 2428/7723?

Answer: GCF of Numerators as per given numbers 921/294, 2428/7723 is

GCF of Numerators i.e. for 921,2428 is 1

LCM of denominators i.e. for 294,7723 is 2270562.

Thus, GCF of Fractions is 1/2270562.Finally, GCF of Fractions for 921/294, 2428/7723 is 1/2270562.