Greatest Common Factor of 425/65, 3764/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 425/65, 3764/210

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 425/65,3764/210

Given fractions are 425/65,3764/210

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 425,3764

Greatest Common Factor of Numerators i.e. GCF of 425,3764 is 1 .

LCM of Denominators means LCM of 65,210 as per the given fractions.

LCM of 65,210 is 2730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 425,3764

GCF of Fractions 425/65,3764/210 is 1/2730

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

Greatest Common Factor of 425,3764 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,3764 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1,2,4,941,1882,3764

Greatest Common Factor

We found the factors 425,3764 . The biggest common factor number is the GCF number.
So the greatest common factor 425,3764 is 1.

Lets's calculate LCM of 65,210

5 65, 210
13, 42

∴ So the LCM of the given numbers is 5 x 13 x 42 = 2730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2730

Therefore, the GCF of Fractions 425/65,3764/210 is 1/2730

Least Common Multiple of 65,210 with GCF Formula

Least Common Multiple of 65,210 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 65,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,210) = 5

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

GCF(65,210) x common factors =5 x 1 = 5

LCM(65,210) = ( 65 × 210 ) / 5

LCM(65,210) = 13650 / 5

LCM(65,210) = 2730


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 425/65, 3764/210

1. 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.

2. What is the GCF of Fractions for 425/65, 3764/210?

Answer: GCF of Numerators as per given numbers 425/65, 3764/210 is

GCF of Numerators i.e. for 425,3764 is 1

LCM of denominators i.e. for 65,210 is 2730.

Thus, GCF of Fractions is 1/2730.Finally, GCF of Fractions for 425/65, 3764/210 is 1/2730.