Greatest Common Factor of 7829/892, 6340/4164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7829/892, 6340/4164

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 7829/892,6340/4164

Given fractions are 7829/892,6340/4164

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 7829,6340

Greatest Common Factor of Numerators i.e. GCF of 7829,6340 is 1 .

LCM of Denominators means LCM of 892,4164 as per the given fractions.

LCM of 892,4164 is 928572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7829,6340

GCF of Fractions 7829/892,6340/4164 is 1/928572

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

Greatest Common Factor of 7829,6340 By Matching Biggest Common Factor Method

Greatest Common Factor of 7829,6340 By Matching Biggest Common Factor Method

Factors of 7829

List of positive integer factors of 7829 that divides 7829 without a remainder.

1,7829

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Greatest Common Factor

We found the factors 7829,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 7829,6340 is 1.

Lets's calculate LCM of 892,4164

2 892, 4164
2 446, 2082
223, 1041

∴ So the LCM of the given numbers is 2 x 2 x 223 x 1041 = 928572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928572

Therefore, the GCF of Fractions 7829/892,6340/4164 is 1/928572

Least Common Multiple of 892,4164 with GCF Formula

Least Common Multiple of 892,4164 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 892,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,4164) = 4

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

GCF(892,4164) x common factors =4 x 1 = 4

LCM(892,4164) = ( 892 × 4164 ) / 4

LCM(892,4164) = 3714288 / 4

LCM(892,4164) = 928572


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 7829/892, 6340/4164

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 7829/892, 6340/4164?

Answer: GCF of Numerators as per given numbers 7829/892, 6340/4164 is

GCF of Numerators i.e. for 7829,6340 is 1

LCM of denominators i.e. for 892,4164 is 928572.

Thus, GCF of Fractions is 1/928572.Finally, GCF of Fractions for 7829/892, 6340/4164 is 1/928572.