How to Find GCF of 21/776, 42/131, 625/235?

GCF of 21/776, 42/131, 625/235

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 21/776, 42/131, 625/235 i.e 1/23889160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/776, 42/131, 625/235.

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 21/776,42/131,625/235?

Given fractions are 21/776,42/131,625/235

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 21/776,42/131,625/235, numerators are 21,42,625

Denominators are 776,131,235

The GCF of 21,42,625 is 1 .

LCM of 776,131,235 is 23889160.

The greatest common factor of 21/776,42/131,625/235 = [GCF of 21,42,625]/[LCM of 776,131,235]= 1/23889160

Therefore, the GCF of 21/776,42/131,625/235 is 1/23889160.

Greatest Common Factor of 21,42,625

To find the highest common factor of 21,42,625, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 625 are 1, 5, 25, 125, 625

The HCF of 21,42,625 is 1.

Lets's calculate GCF of 21,42,625

Greatest Common Factor (GCF) of 21,42,625 By Common Division

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

Greatest Common Factor of 21,42,625 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 625

1,5,25,125,625

Greatest Common Factor

We found the factors 21,42,625 . The biggest common factor number is the GCF number.
So the greatest common factor 21,42,625 is 1.

Lets's calculate LCM of 776,131,235

Lowest Common Multiple of 776,131,235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23889160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23889160

Therefore, the GCF of Fractions 21/776,42/131,625/235 is 1/23889160

Least Common Multiple of 776,131,235 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 776,131,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,131,235) = 1

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

GCF(776,131,235) x common factors =1 x 1 = 1

LCM(776,131,235) = ( 776 × 131 × 235 ) / 1

LCM(776,131,235) = 23889160 / 1

LCM(776,131,235) = 23889160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 21/776, 42/131, 625/235

1. What is the HCF of 21,42,625?

The HCF of 21,42,625 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 21/776, 42/131, 625/235?

Answer: GCF of Numerators as per given numbers 21/776, 42/131, 625/235 is

GCF of Numerators i.e. for 21,42,625 is 1

LCM of denominators i.e. for 776,131,235 is 23889160.

Thus, GCF of Fractions is 1/23889160.Finally, GCF of Fractions for 21/776, 42/131, 625/235 is 1/23889160.