Greatest Common Factor of 145/457, 635/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/457, 635/484

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 145/457,635/484

Given fractions are 145/457,635/484

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 145,635

Greatest Common Factor of Numerators i.e. GCF of 145,635 is 5 .

LCM of Denominators means LCM of 457,484 as per the given fractions.

LCM of 457,484 is 221188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,635

GCF of Fractions 145/457,635/484 is 5/221188

5 145, 635
29, 127

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 145,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,635 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 145,635 . The biggest common factor number is the GCF number.
So the greatest common factor 145,635 is 5.

Lets's calculate LCM of 457,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 221188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/221188

Therefore, the GCF of Fractions 145/457,635/484 is 5/221188

Least Common Multiple of 457,484 with GCF Formula

Least Common Multiple of 457,484 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 457,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,484) = 1

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

GCF(457,484) x common factors =1 x 1 = 1

LCM(457,484) = ( 457 × 484 ) / 1

LCM(457,484) = 221188 / 1

LCM(457,484) = 221188


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 145/457, 635/484

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 145/457, 635/484?

Answer: GCF of Numerators as per given numbers 145/457, 635/484 is

GCF of Numerators i.e. for 145,635 is 5

LCM of denominators i.e. for 457,484 is 221188.

Thus, GCF of Fractions is 5/221188.Finally, GCF of Fractions for 145/457, 635/484 is 5/221188.