Greatest Common Factor of 185/762, 2040/1407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 185/762, 2040/1407

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 185/762,2040/1407

Given fractions are 185/762,2040/1407

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 185,2040

Greatest Common Factor of Numerators i.e. GCF of 185,2040 is 5 .

LCM of Denominators means LCM of 762,1407 as per the given fractions.

LCM of 762,1407 is 357378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 185,2040

GCF of Fractions 185/762,2040/1407 is 5/357378

5 185, 2040
37, 408

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 185,2040 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,2040 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors 185,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 185,2040 is 5.

Lets's calculate LCM of 762,1407

3 762, 1407
254, 469

∴ So the LCM of the given numbers is 3 x 254 x 469 = 357378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/357378

Therefore, the GCF of Fractions 185/762,2040/1407 is 5/357378

Least Common Multiple of 762,1407 with GCF Formula

Least Common Multiple of 762,1407 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 762,1407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,1407) = 3

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

GCF(762,1407) x common factors =3 x 1 = 3

LCM(762,1407) = ( 762 × 1407 ) / 3

LCM(762,1407) = 1072134 / 3

LCM(762,1407) = 357378


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 185/762, 2040/1407

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 185/762, 2040/1407?

Answer: GCF of Numerators as per given numbers 185/762, 2040/1407 is

GCF of Numerators i.e. for 185,2040 is 5

LCM of denominators i.e. for 762,1407 is 357378.

Thus, GCF of Fractions is 5/357378.Finally, GCF of Fractions for 185/762, 2040/1407 is 5/357378.