Greatest Common Factor of 2785/926, 1649/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2785/926, 1649/162

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 2785/926,1649/162

Given fractions are 2785/926,1649/162

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 2785,1649

Greatest Common Factor of Numerators i.e. GCF of 2785,1649 is 1 .

LCM of Denominators means LCM of 926,162 as per the given fractions.

LCM of 926,162 is 75006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2785,1649

GCF of Fractions 2785/926,1649/162 is 1/75006

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

Greatest Common Factor of 2785,1649 By Matching Biggest Common Factor Method

Greatest Common Factor of 2785,1649 By Matching Biggest Common Factor Method

Factors of 2785

List of positive integer factors of 2785 that divides 2785 without a remainder.

1,5,557,2785

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

Greatest Common Factor

We found the factors 2785,1649 . The biggest common factor number is the GCF number.
So the greatest common factor 2785,1649 is 1.

Lets's calculate LCM of 926,162

2 926, 162
463, 81

∴ So the LCM of the given numbers is 2 x 463 x 81 = 75006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75006

Therefore, the GCF of Fractions 2785/926,1649/162 is 1/75006

Least Common Multiple of 926,162 with GCF Formula

Least Common Multiple of 926,162 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 926,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,162) = 2

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

GCF(926,162) x common factors =2 x 1 = 2

LCM(926,162) = ( 926 × 162 ) / 2

LCM(926,162) = 150012 / 2

LCM(926,162) = 75006


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 2785/926, 1649/162

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 2785/926, 1649/162?

Answer: GCF of Numerators as per given numbers 2785/926, 1649/162 is

GCF of Numerators i.e. for 2785,1649 is 1

LCM of denominators i.e. for 926,162 is 75006.

Thus, GCF of Fractions is 1/75006.Finally, GCF of Fractions for 2785/926, 1649/162 is 1/75006.