Greatest Common Factor of 1345/14, 6458/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1345/14, 6458/970

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 1345/14,6458/970

Given fractions are 1345/14,6458/970

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 1345,6458

Greatest Common Factor of Numerators i.e. GCF of 1345,6458 is 1 .

LCM of Denominators means LCM of 14,970 as per the given fractions.

LCM of 14,970 is 6790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1345,6458

GCF of Fractions 1345/14,6458/970 is 1/6790

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

Greatest Common Factor of 1345,6458 By Matching Biggest Common Factor Method

Greatest Common Factor of 1345,6458 By Matching Biggest Common Factor Method

Factors of 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1,5,269,1345

Factors of 6458

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

1,2,3229,6458

Greatest Common Factor

We found the factors 1345,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 1345,6458 is 1.

Lets's calculate LCM of 14,970

2 14, 970
7, 485

∴ So the LCM of the given numbers is 2 x 7 x 485 = 6790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6790

Therefore, the GCF of Fractions 1345/14,6458/970 is 1/6790

Least Common Multiple of 14,970 with GCF Formula

Least Common Multiple of 14,970 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 14,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,970) = 2

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

GCF(14,970) x common factors =2 x 1 = 2

LCM(14,970) = ( 14 × 970 ) / 2

LCM(14,970) = 13580 / 2

LCM(14,970) = 6790


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 1345/14, 6458/970

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 1345/14, 6458/970?

Answer: GCF of Numerators as per given numbers 1345/14, 6458/970 is

GCF of Numerators i.e. for 1345,6458 is 1

LCM of denominators i.e. for 14,970 is 6790.

Thus, GCF of Fractions is 1/6790.Finally, GCF of Fractions for 1345/14, 6458/970 is 1/6790.