Greatest Common Factor of 4640/490, 1780/6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4640/490, 1780/6532

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 4640/490,1780/6532

Given fractions are 4640/490,1780/6532

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 4640,1780

Greatest Common Factor of Numerators i.e. GCF of 4640,1780 is 20 .

LCM of Denominators means LCM of 490,6532 as per the given fractions.

LCM of 490,6532 is 1600340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4640,1780

GCF of Fractions 4640/490,1780/6532 is 20/1600340

2 4640, 1780
2 2320, 890
5 1160, 445
232, 89

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 4640,1780 By Matching Biggest Common Factor Method

Greatest Common Factor of 4640,1780 By Matching Biggest Common Factor Method

Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1,2,4,5,10,20,89,178,356,445,890,1780

Greatest Common Factor

We found the factors 4640,1780 . The biggest common factor number is the GCF number.
So the greatest common factor 4640,1780 is 20.

Lets's calculate LCM of 490,6532

2 490, 6532
245, 3266

∴ So the LCM of the given numbers is 2 x 245 x 3266 = 1600340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1600340

Therefore, the GCF of Fractions 4640/490,1780/6532 is 20/1600340

Least Common Multiple of 490,6532 with GCF Formula

Least Common Multiple of 490,6532 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 490,6532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,6532) = 2

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

GCF(490,6532) x common factors =2 x 1 = 2

LCM(490,6532) = ( 490 × 6532 ) / 2

LCM(490,6532) = 3200680 / 2

LCM(490,6532) = 1600340


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 4640/490, 1780/6532

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 4640/490, 1780/6532?

Answer: GCF of Numerators as per given numbers 4640/490, 1780/6532 is

GCF of Numerators i.e. for 4640,1780 is 20

LCM of denominators i.e. for 490,6532 is 1600340.

Thus, GCF of Fractions is 20/1600340.Finally, GCF of Fractions for 4640/490, 1780/6532 is 20/1600340.