Greatest Common Factor of 9668/692, 5290/7787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9668/692, 5290/7787

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 9668/692,5290/7787

Given fractions are 9668/692,5290/7787

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 9668,5290

Greatest Common Factor of Numerators i.e. GCF of 9668,5290 is 2 .

LCM of Denominators means LCM of 692,7787 as per the given fractions.

LCM of 692,7787 is 5388604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9668,5290

GCF of Fractions 9668/692,5290/7787 is 2/5388604

2 9668, 5290
4834, 2645

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

Greatest Common Factor of 9668,5290 By Matching Biggest Common Factor Method

Greatest Common Factor of 9668,5290 By Matching Biggest Common Factor Method

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1,2,4,2417,4834,9668

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1,2,5,10,23,46,115,230,529,1058,2645,5290

Greatest Common Factor

We found the factors 9668,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 9668,5290 is 2.

Lets's calculate LCM of 692,7787

Given numbers has no common factors except 1. So, there LCM is their product i.e 5388604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5388604

Therefore, the GCF of Fractions 9668/692,5290/7787 is 2/5388604

Least Common Multiple of 692,7787 with GCF Formula

Least Common Multiple of 692,7787 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 692,7787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,7787) = 1

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

GCF(692,7787) x common factors =1 x 1 = 1

LCM(692,7787) = ( 692 × 7787 ) / 1

LCM(692,7787) = 5388604 / 1

LCM(692,7787) = 5388604


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 9668/692, 5290/7787

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 9668/692, 5290/7787?

Answer: GCF of Numerators as per given numbers 9668/692, 5290/7787 is

GCF of Numerators i.e. for 9668,5290 is 2

LCM of denominators i.e. for 692,7787 is 5388604.

Thus, GCF of Fractions is 2/5388604.Finally, GCF of Fractions for 9668/692, 5290/7787 is 2/5388604.