Greatest Common Factor of 6347/929, 3454/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6347/929, 3454/867

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 6347/929,3454/867

Given fractions are 6347/929,3454/867

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 6347,3454

Greatest Common Factor of Numerators i.e. GCF of 6347,3454 is 11 .

LCM of Denominators means LCM of 929,867 as per the given fractions.

LCM of 929,867 is 805443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6347,3454

GCF of Fractions 6347/929,3454/867 is 11/805443

11 6347, 3454
577, 314

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6347,3454 By Matching Biggest Common Factor Method

Greatest Common Factor of 6347,3454 By Matching Biggest Common Factor Method

Factors of 6347

List of positive integer factors of 6347 that divides 6347 without a remainder.

1,11,577,6347

Factors of 3454

List of positive integer factors of 3454 that divides 3454 without a remainder.

1,2,11,22,157,314,1727,3454

Greatest Common Factor

We found the factors 6347,3454 . The biggest common factor number is the GCF number.
So the greatest common factor 6347,3454 is 11.

Lets's calculate LCM of 929,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 805443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/805443

Therefore, the GCF of Fractions 6347/929,3454/867 is 11/805443

Least Common Multiple of 929,867 with GCF Formula

Least Common Multiple of 929,867 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 929,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,867) = 1

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

GCF(929,867) x common factors =1 x 1 = 1

LCM(929,867) = ( 929 × 867 ) / 1

LCM(929,867) = 805443 / 1

LCM(929,867) = 805443


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 6347/929, 3454/867

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 6347/929, 3454/867?

Answer: GCF of Numerators as per given numbers 6347/929, 3454/867 is

GCF of Numerators i.e. for 6347,3454 is 11

LCM of denominators i.e. for 929,867 is 805443.

Thus, GCF of Fractions is 11/805443.Finally, GCF of Fractions for 6347/929, 3454/867 is 11/805443.