Greatest Common Factor of 772/66, 208/7645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 772/66, 208/7645

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 772/66,208/7645

Given fractions are 772/66,208/7645

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 772,208

Greatest Common Factor of Numerators i.e. GCF of 772,208 is 4 .

LCM of Denominators means LCM of 66,7645 as per the given fractions.

LCM of 66,7645 is 45870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 772,208

GCF of Fractions 772/66,208/7645 is 4/45870

2 772, 208
2 386, 104
193, 52

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

Greatest Common Factor of 772,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,208 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 772,208 . The biggest common factor number is the GCF number.
So the greatest common factor 772,208 is 4.

Lets's calculate LCM of 66,7645

11 66, 7645
6, 695

∴ So the LCM of the given numbers is 11 x 6 x 695 = 45870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/45870

Therefore, the GCF of Fractions 772/66,208/7645 is 4/45870

Least Common Multiple of 66,7645 with GCF Formula

Least Common Multiple of 66,7645 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 66,7645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,7645) = 11

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

GCF(66,7645) x common factors =11 x 1 = 11

LCM(66,7645) = ( 66 × 7645 ) / 11

LCM(66,7645) = 504570 / 11

LCM(66,7645) = 45870


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 772/66, 208/7645

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 772/66, 208/7645?

Answer: GCF of Numerators as per given numbers 772/66, 208/7645 is

GCF of Numerators i.e. for 772,208 is 4

LCM of denominators i.e. for 66,7645 is 45870.

Thus, GCF of Fractions is 4/45870.Finally, GCF of Fractions for 772/66, 208/7645 is 4/45870.