Greatest Common Factor of 892/61, 429/52, 649/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 892/61, 429/52, 649/799

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 892/61,429/52,649/799

Given fractions are 892/61,429/52,649/799

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 892,429,649

Greatest Common Factor of Numerators i.e. GCF of 892,429,649 is 1 .

LCM of Denominators means LCM of 61,52,799 as per the given fractions.

LCM of 61,52,799 is 2534428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 892,429,649

GCF of Fractions 892/61,429/52,649/799 is 1/2534428

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

Greatest Common Factor of 892,429,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,429,649 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 892,429,649 . The biggest common factor number is the GCF number.
So the greatest common factor 892,429,649 is 1.

Lets's calculate LCM of 61,52,799

Given numbers has no common factors except 1. So, there LCM is their product i.e 2534428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2534428

Therefore, the GCF of Fractions 892/61,429/52,649/799 is 1/2534428

Least Common Multiple of 61,52,799 with GCF Formula

Least Common Multiple of 61,52,799 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 61,52,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,52,799) = 1

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

GCF(61,52,799) x common factors =1 x 1 = 1

LCM(61,52,799) = ( 61 × 52 × 799 ) / 1

LCM(61,52,799) = 2534428 / 1

LCM(61,52,799) = 2534428


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 892/61, 429/52, 649/799

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 892/61, 429/52, 649/799?

Answer: GCF of Numerators as per given numbers 892/61, 429/52, 649/799 is

GCF of Numerators i.e. for 892,429,649 is 1

LCM of denominators i.e. for 61,52,799 is 2534428.

Thus, GCF of Fractions is 1/2534428.Finally, GCF of Fractions for 892/61, 429/52, 649/799 is 1/2534428.