Greatest Common Factor of 278/74, 411/93, 635/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/74, 411/93, 635/645

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 278/74,411/93,635/645

Given fractions are 278/74,411/93,635/645

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 278,411,635

Greatest Common Factor of Numerators i.e. GCF of 278,411,635 is 1 .

LCM of Denominators means LCM of 74,93,645 as per the given fractions.

LCM of 74,93,645 is 1479630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,411,635

GCF of Fractions 278/74,411/93,635/645 is 1/1479630

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

Greatest Common Factor of 278,411,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,411,635 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

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 278,411,635 . The biggest common factor number is the GCF number.
So the greatest common factor 278,411,635 is 1.

Lets's calculate LCM of 74,93,645

3 74, 93, 645
74, 31, 215

∴ So the LCM of the given numbers is 3 x 74 x 31 x 215 = 1479630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1479630

Therefore, the GCF of Fractions 278/74,411/93,635/645 is 1/1479630

Least Common Multiple of 74,93,645 with GCF Formula

Least Common Multiple of 74,93,645 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 74,93,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,93,645) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(74,93,645) x common factors =1 x 3 = 3

LCM(74,93,645) = ( 74 × 93 × 645 ) / 3

LCM(74,93,645) = 4438890 / 3

LCM(74,93,645) = 1479630


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 278/74, 411/93, 635/645

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 278/74, 411/93, 635/645?

Answer: GCF of Numerators as per given numbers 278/74, 411/93, 635/645 is

GCF of Numerators i.e. for 278,411,635 is 1

LCM of denominators i.e. for 74,93,645 is 1479630.

Thus, GCF of Fractions is 1/1479630.Finally, GCF of Fractions for 278/74, 411/93, 635/645 is 1/1479630.