Greatest Common Factor of 6458/69, 9745/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6458/69, 9745/314

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 6458/69,9745/314

Given fractions are 6458/69,9745/314

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 6458,9745

Greatest Common Factor of Numerators i.e. GCF of 6458,9745 is 1 .

LCM of Denominators means LCM of 69,314 as per the given fractions.

LCM of 69,314 is 21666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6458,9745

GCF of Fractions 6458/69,9745/314 is 1/21666

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

Greatest Common Factor of 6458,9745 By Matching Biggest Common Factor Method

Greatest Common Factor of 6458,9745 By Matching Biggest Common Factor Method

Factors of 6458

List of positive integer factors of 6458 that divides 6458 without a remainder.

1,2,3229,6458

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1,5,1949,9745

Greatest Common Factor

We found the factors 6458,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 6458,9745 is 1.

Lets's calculate LCM of 69,314

Given numbers has no common factors except 1. So, there LCM is their product i.e 21666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21666

Therefore, the GCF of Fractions 6458/69,9745/314 is 1/21666

Least Common Multiple of 69,314 with GCF Formula

Least Common Multiple of 69,314 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 69,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,314) = 1

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

GCF(69,314) x common factors =1 x 1 = 1

LCM(69,314) = ( 69 × 314 ) / 1

LCM(69,314) = 21666 / 1

LCM(69,314) = 21666


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 6458/69, 9745/314

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 6458/69, 9745/314?

Answer: GCF of Numerators as per given numbers 6458/69, 9745/314 is

GCF of Numerators i.e. for 6458,9745 is 1

LCM of denominators i.e. for 69,314 is 21666.

Thus, GCF of Fractions is 1/21666.Finally, GCF of Fractions for 6458/69, 9745/314 is 1/21666.