Greatest Common Factor of 467/420, 752/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/420, 752/378

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 467/420,752/378

Given fractions are 467/420,752/378

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 467,752

Greatest Common Factor of Numerators i.e. GCF of 467,752 is 1 .

LCM of Denominators means LCM of 420,378 as per the given fractions.

LCM of 420,378 is 3780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,752

GCF of Fractions 467/420,752/378 is 1/3780

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

Greatest Common Factor of 467,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,752 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 467,752 . The biggest common factor number is the GCF number.
So the greatest common factor 467,752 is 1.

Lets's calculate LCM of 420,378

2 420, 378
3 210, 189
7 70, 63
10, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 9 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3780

Therefore, the GCF of Fractions 467/420,752/378 is 1/3780

Least Common Multiple of 420,378 with GCF Formula

Least Common Multiple of 420,378 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 420,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,378) = 42

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

GCF(420,378) x common factors =42 x 1 = 42

LCM(420,378) = ( 420 × 378 ) / 42

LCM(420,378) = 158760 / 42

LCM(420,378) = 3780


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 467/420, 752/378

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 467/420, 752/378?

Answer: GCF of Numerators as per given numbers 467/420, 752/378 is

GCF of Numerators i.e. for 467,752 is 1

LCM of denominators i.e. for 420,378 is 3780.

Thus, GCF of Fractions is 1/3780.Finally, GCF of Fractions for 467/420, 752/378 is 1/3780.