Greatest Common Factor of 6929/465, 6019/3481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6929/465, 6019/3481

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 6929/465,6019/3481

Given fractions are 6929/465,6019/3481

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 6929,6019

Greatest Common Factor of Numerators i.e. GCF of 6929,6019 is 13 .

LCM of Denominators means LCM of 465,3481 as per the given fractions.

LCM of 465,3481 is 1618665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6929,6019

GCF of Fractions 6929/465,6019/3481 is 13/1618665

13 6929, 6019
533, 463

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6929,6019 By Matching Biggest Common Factor Method

Greatest Common Factor of 6929,6019 By Matching Biggest Common Factor Method

Factors of 6929

List of positive integer factors of 6929 that divides 6929 without a remainder.

1,13,41,169,533,6929

Factors of 6019

List of positive integer factors of 6019 that divides 6019 without a remainder.

1,13,463,6019

Greatest Common Factor

We found the factors 6929,6019 . The biggest common factor number is the GCF number.
So the greatest common factor 6929,6019 is 13.

Lets's calculate LCM of 465,3481

Given numbers has no common factors except 1. So, there LCM is their product i.e 1618665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1618665

Therefore, the GCF of Fractions 6929/465,6019/3481 is 13/1618665

Least Common Multiple of 465,3481 with GCF Formula

Least Common Multiple of 465,3481 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 465,3481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,3481) = 1

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

GCF(465,3481) x common factors =1 x 1 = 1

LCM(465,3481) = ( 465 × 3481 ) / 1

LCM(465,3481) = 1618665 / 1

LCM(465,3481) = 1618665


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 6929/465, 6019/3481

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 6929/465, 6019/3481?

Answer: GCF of Numerators as per given numbers 6929/465, 6019/3481 is

GCF of Numerators i.e. for 6929,6019 is 13

LCM of denominators i.e. for 465,3481 is 1618665.

Thus, GCF of Fractions is 13/1618665.Finally, GCF of Fractions for 6929/465, 6019/3481 is 13/1618665.