Greatest Common Factor of 373/37, 758/36, 773/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 373/37, 758/36, 773/276

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 373/37,758/36,773/276

Given fractions are 373/37,758/36,773/276

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 373,758,773

Greatest Common Factor of Numerators i.e. GCF of 373,758,773 is 1 .

LCM of Denominators means LCM of 37,36,276 as per the given fractions.

LCM of 37,36,276 is 30636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 373,758,773

GCF of Fractions 373/37,758/36,773/276 is 1/30636

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

Greatest Common Factor of 373,758,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,758,773 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 373,758,773 . The biggest common factor number is the GCF number.
So the greatest common factor 373,758,773 is 1.

Lets's calculate LCM of 37,36,276

2 37, 36, 276
2 37, 18, 138
3 37, 9, 69
37, 3, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 3 x 23 = 30636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30636

Therefore, the GCF of Fractions 373/37,758/36,773/276 is 1/30636

Least Common Multiple of 37,36,276 with GCF Formula

Least Common Multiple of 37,36,276 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 37,36,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,36,276) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(37,36,276) x common factors =1 x 12 = 12

LCM(37,36,276) = ( 37 × 36 × 276 ) / 12

LCM(37,36,276) = 367632 / 12

LCM(37,36,276) = 30636


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 373/37, 758/36, 773/276

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 373/37, 758/36, 773/276?

Answer: GCF of Numerators as per given numbers 373/37, 758/36, 773/276 is

GCF of Numerators i.e. for 373,758,773 is 1

LCM of denominators i.e. for 37,36,276 is 30636.

Thus, GCF of Fractions is 1/30636.Finally, GCF of Fractions for 373/37, 758/36, 773/276 is 1/30636.