Greatest Common Factor of 37/26, 45/30, 636/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/26, 45/30, 636/278

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 37/26,45/30,636/278

Given fractions are 37/26,45/30,636/278

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 37,45,636

Greatest Common Factor of Numerators i.e. GCF of 37,45,636 is 1 .

LCM of Denominators means LCM of 26,30,278 as per the given fractions.

LCM of 26,30,278 is 54210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,45,636

GCF of Fractions 37/26,45/30,636/278 is 1/54210

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

Greatest Common Factor of 37,45,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,45,636 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 37,45,636 . The biggest common factor number is the GCF number.
So the greatest common factor 37,45,636 is 1.

Lets's calculate LCM of 26,30,278

2 26, 30, 278
13, 15, 139

∴ So the LCM of the given numbers is 2 x 13 x 15 x 139 = 54210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54210

Therefore, the GCF of Fractions 37/26,45/30,636/278 is 1/54210

Least Common Multiple of 26,30,278 with GCF Formula

Least Common Multiple of 26,30,278 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 26,30,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,30,278) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(26,30,278) x common factors =2 x 2 = 4

LCM(26,30,278) = ( 26 × 30 × 278 ) / 4

LCM(26,30,278) = 216840 / 4

LCM(26,30,278) = 54210


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 37/26, 45/30, 636/278

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 37/26, 45/30, 636/278?

Answer: GCF of Numerators as per given numbers 37/26, 45/30, 636/278 is

GCF of Numerators i.e. for 37,45,636 is 1

LCM of denominators i.e. for 26,30,278 is 54210.

Thus, GCF of Fractions is 1/54210.Finally, GCF of Fractions for 37/26, 45/30, 636/278 is 1/54210.