Greatest Common Factor of 74/851, 749/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/851, 749/185

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 74/851,749/185

Given fractions are 74/851,749/185

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 74,749

Greatest Common Factor of Numerators i.e. GCF of 74,749 is 1 .

LCM of Denominators means LCM of 851,185 as per the given fractions.

LCM of 851,185 is 4255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,749

GCF of Fractions 74/851,749/185 is 1/4255

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

Greatest Common Factor of 74,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,749 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 74,749 . The biggest common factor number is the GCF number.
So the greatest common factor 74,749 is 1.

Lets's calculate LCM of 851,185

37 851, 185
23, 5

∴ So the LCM of the given numbers is 37 x 23 x 5 = 4255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4255

Therefore, the GCF of Fractions 74/851,749/185 is 1/4255

Least Common Multiple of 851,185 with GCF Formula

Least Common Multiple of 851,185 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 851,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,185) = 37

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

GCF(851,185) x common factors =37 x 1 = 37

LCM(851,185) = ( 851 × 185 ) / 37

LCM(851,185) = 157435 / 37

LCM(851,185) = 4255


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 74/851, 749/185

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 74/851, 749/185?

Answer: GCF of Numerators as per given numbers 74/851, 749/185 is

GCF of Numerators i.e. for 74,749 is 1

LCM of denominators i.e. for 851,185 is 4255.

Thus, GCF of Fractions is 1/4255.Finally, GCF of Fractions for 74/851, 749/185 is 1/4255.