Greatest Common Factor of 886/5924, 686/7052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 886/5924, 686/7052

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 886/5924,686/7052

Given fractions are 886/5924,686/7052

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 886,686

Greatest Common Factor of Numerators i.e. GCF of 886,686 is 2 .

LCM of Denominators means LCM of 5924,7052 as per the given fractions.

LCM of 5924,7052 is 10444012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 886,686

GCF of Fractions 886/5924,686/7052 is 2/10444012

2 886, 686
443, 343

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

Greatest Common Factor of 886,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,686 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 886,686 . The biggest common factor number is the GCF number.
So the greatest common factor 886,686 is 2.

Lets's calculate LCM of 5924,7052

2 5924, 7052
2 2962, 3526
1481, 1763

∴ So the LCM of the given numbers is 2 x 2 x 1481 x 1763 = 10444012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10444012

Therefore, the GCF of Fractions 886/5924,686/7052 is 2/10444012

Least Common Multiple of 5924,7052 with GCF Formula

Least Common Multiple of 5924,7052 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 5924,7052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5924,7052) = 4

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

GCF(5924,7052) x common factors =4 x 1 = 4

LCM(5924,7052) = ( 5924 × 7052 ) / 4

LCM(5924,7052) = 41776048 / 4

LCM(5924,7052) = 10444012


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 886/5924, 686/7052

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 886/5924, 686/7052?

Answer: GCF of Numerators as per given numbers 886/5924, 686/7052 is

GCF of Numerators i.e. for 886,686 is 2

LCM of denominators i.e. for 5924,7052 is 10444012.

Thus, GCF of Fractions is 2/10444012.Finally, GCF of Fractions for 886/5924, 686/7052 is 2/10444012.