Greatest Common Factor of 776/832, 4452/9040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 776/832, 4452/9040

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 776/832,4452/9040

Given fractions are 776/832,4452/9040

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 776,4452

Greatest Common Factor of Numerators i.e. GCF of 776,4452 is 4 .

LCM of Denominators means LCM of 832,9040 as per the given fractions.

LCM of 832,9040 is 470080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 776,4452

GCF of Fractions 776/832,4452/9040 is 4/470080

2 776, 4452
2 388, 2226
194, 1113

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

Greatest Common Factor of 776,4452 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,4452 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Greatest Common Factor

We found the factors 776,4452 . The biggest common factor number is the GCF number.
So the greatest common factor 776,4452 is 4.

Lets's calculate LCM of 832,9040

2 832, 9040
2 416, 4520
2 208, 2260
2 104, 1130
52, 565

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 52 x 565 = 470080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/470080

Therefore, the GCF of Fractions 776/832,4452/9040 is 4/470080

Least Common Multiple of 832,9040 with GCF Formula

Least Common Multiple of 832,9040 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 832,9040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,9040) = 16

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

GCF(832,9040) x common factors =16 x 1 = 16

LCM(832,9040) = ( 832 × 9040 ) / 16

LCM(832,9040) = 7521280 / 16

LCM(832,9040) = 470080


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 776/832, 4452/9040

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 776/832, 4452/9040?

Answer: GCF of Numerators as per given numbers 776/832, 4452/9040 is

GCF of Numerators i.e. for 776,4452 is 4

LCM of denominators i.e. for 832,9040 is 470080.

Thus, GCF of Fractions is 4/470080.Finally, GCF of Fractions for 776/832, 4452/9040 is 4/470080.