Greatest Common Factor of 196/687, 2860/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/687, 2860/707

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 196/687,2860/707

Given fractions are 196/687,2860/707

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 196,2860

Greatest Common Factor of Numerators i.e. GCF of 196,2860 is 4 .

LCM of Denominators means LCM of 687,707 as per the given fractions.

LCM of 687,707 is 485709 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,2860

GCF of Fractions 196/687,2860/707 is 4/485709

2 196, 2860
2 98, 1430
49, 715

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 196,2860 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,2860 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 2860

List of positive integer factors of 2860 that divides 2860 without a remainder.

1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860

Greatest Common Factor

We found the factors 196,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 196,2860 is 4.

Lets's calculate LCM of 687,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 485709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/485709

Therefore, the GCF of Fractions 196/687,2860/707 is 4/485709

Least Common Multiple of 687,707 with GCF Formula

Least Common Multiple of 687,707 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 687,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,707) = 1

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

GCF(687,707) x common factors =1 x 1 = 1

LCM(687,707) = ( 687 × 707 ) / 1

LCM(687,707) = 485709 / 1

LCM(687,707) = 485709


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 196/687, 2860/707

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 196/687, 2860/707?

Answer: GCF of Numerators as per given numbers 196/687, 2860/707 is

GCF of Numerators i.e. for 196,2860 is 4

LCM of denominators i.e. for 687,707 is 485709.

Thus, GCF of Fractions is 4/485709.Finally, GCF of Fractions for 196/687, 2860/707 is 4/485709.