Greatest Common Factor of 415/35, 379/71, 648/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/35, 379/71, 648/953

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 415/35,379/71,648/953

Given fractions are 415/35,379/71,648/953

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 415,379,648

Greatest Common Factor of Numerators i.e. GCF of 415,379,648 is 1 .

LCM of Denominators means LCM of 35,71,953 as per the given fractions.

LCM of 35,71,953 is 2368205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,379,648

GCF of Fractions 415/35,379/71,648/953 is 1/2368205

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

Greatest Common Factor of 415,379,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,379,648 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 415,379,648 . The biggest common factor number is the GCF number.
So the greatest common factor 415,379,648 is 1.

Lets's calculate LCM of 35,71,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 2368205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2368205

Therefore, the GCF of Fractions 415/35,379/71,648/953 is 1/2368205

Least Common Multiple of 35,71,953 with GCF Formula

Least Common Multiple of 35,71,953 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 35,71,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,71,953) = 1

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

GCF(35,71,953) x common factors =1 x 1 = 1

LCM(35,71,953) = ( 35 × 71 × 953 ) / 1

LCM(35,71,953) = 2368205 / 1

LCM(35,71,953) = 2368205


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 415/35, 379/71, 648/953

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 415/35, 379/71, 648/953?

Answer: GCF of Numerators as per given numbers 415/35, 379/71, 648/953 is

GCF of Numerators i.e. for 415,379,648 is 1

LCM of denominators i.e. for 35,71,953 is 2368205.

Thus, GCF of Fractions is 1/2368205.Finally, GCF of Fractions for 415/35, 379/71, 648/953 is 1/2368205.