Greatest Common Factor of 4480/767, 9079/8410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4480/767, 9079/8410

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 4480/767,9079/8410

Given fractions are 4480/767,9079/8410

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 4480,9079

Greatest Common Factor of Numerators i.e. GCF of 4480,9079 is 7 .

LCM of Denominators means LCM of 767,8410 as per the given fractions.

LCM of 767,8410 is 6450470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4480,9079

GCF of Fractions 4480/767,9079/8410 is 7/6450470

7 4480, 9079
640, 1297

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4480,9079 By Matching Biggest Common Factor Method

Greatest Common Factor of 4480,9079 By Matching Biggest Common Factor Method

Factors of 4480

List of positive integer factors of 4480 that divides 4480 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480

Factors of 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1,7,1297,9079

Greatest Common Factor

We found the factors 4480,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,9079 is 7.


Lets's calculate LCM of 767,8410

Given numbers has no common factors except 1. So, there LCM is their product i.e 6450470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6450470

Therefore, the GCF of Fractions 4480/767,9079/8410 is 7/6450470

Least Common Multiple of 767,8410 with GCF Formula

Least Common Multiple of 767,8410 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 767,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,8410) = 1

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

GCF(767,8410) x common factors =1 x 1 = 1

LCM(767,8410) = ( 767 × 8410 ) / 1

LCM(767,8410) = 6450470 / 1

LCM(767,8410) = 6450470


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4480/767, 9079/8410

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 4480/767, 9079/8410?

Answer: GCF of Numerators as per given numbers 4480/767, 9079/8410 is

GCF of Numerators i.e. for 4480,9079 is 7

LCM of denominators i.e. for 767,8410 is 6450470.

Thus, GCF of Fractions is 7/6450470.Finally, GCF of Fractions for 4480/767, 9079/8410 is 7/6450470.