Greatest Common Factor of 696/519, 6142/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/519, 6142/469

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 696/519,6142/469

Given fractions are 696/519,6142/469

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 696,6142

Greatest Common Factor of Numerators i.e. GCF of 696,6142 is 2 .

LCM of Denominators means LCM of 519,469 as per the given fractions.

LCM of 519,469 is 243411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,6142

GCF of Fractions 696/519,6142/469 is 2/243411

2 696, 6142
348, 3071

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 696,6142 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,6142 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 6142

List of positive integer factors of 6142 that divides 6142 without a remainder.

1,2,37,74,83,166,3071,6142

Greatest Common Factor

We found the factors 696,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 696,6142 is 2.

Lets's calculate LCM of 519,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 243411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/243411

Therefore, the GCF of Fractions 696/519,6142/469 is 2/243411

Least Common Multiple of 519,469 with GCF Formula

Least Common Multiple of 519,469 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 519,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,469) = 1

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

GCF(519,469) x common factors =1 x 1 = 1

LCM(519,469) = ( 519 × 469 ) / 1

LCM(519,469) = 243411 / 1

LCM(519,469) = 243411


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 696/519, 6142/469

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 696/519, 6142/469?

Answer: GCF of Numerators as per given numbers 696/519, 6142/469 is

GCF of Numerators i.e. for 696,6142 is 2

LCM of denominators i.e. for 519,469 is 243411.

Thus, GCF of Fractions is 2/243411.Finally, GCF of Fractions for 696/519, 6142/469 is 2/243411.