Greatest Common Factor of 9520/796, 3568/1505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9520/796, 3568/1505

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 9520/796,3568/1505

Given fractions are 9520/796,3568/1505

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 9520,3568

Greatest Common Factor of Numerators i.e. GCF of 9520,3568 is 16 .

LCM of Denominators means LCM of 796,1505 as per the given fractions.

LCM of 796,1505 is 1197980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9520,3568

GCF of Fractions 9520/796,3568/1505 is 16/1197980

2 9520, 3568
2 4760, 1784
2 2380, 892
2 1190, 446
595, 223

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9520,3568 By Matching Biggest Common Factor Method

Greatest Common Factor of 9520,3568 By Matching Biggest Common Factor Method

Factors of 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520

Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1,2,4,8,16,223,446,892,1784,3568

Greatest Common Factor

We found the factors 9520,3568 . The biggest common factor number is the GCF number.
So the greatest common factor 9520,3568 is 16.

Lets's calculate LCM of 796,1505

Given numbers has no common factors except 1. So, there LCM is their product i.e 1197980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1197980

Therefore, the GCF of Fractions 9520/796,3568/1505 is 16/1197980

Least Common Multiple of 796,1505 with GCF Formula

Least Common Multiple of 796,1505 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 796,1505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,1505) = 1

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

GCF(796,1505) x common factors =1 x 1 = 1

LCM(796,1505) = ( 796 × 1505 ) / 1

LCM(796,1505) = 1197980 / 1

LCM(796,1505) = 1197980


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 9520/796, 3568/1505

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 9520/796, 3568/1505?

Answer: GCF of Numerators as per given numbers 9520/796, 3568/1505 is

GCF of Numerators i.e. for 9520,3568 is 16

LCM of denominators i.e. for 796,1505 is 1197980.

Thus, GCF of Fractions is 16/1197980.Finally, GCF of Fractions for 9520/796, 3568/1505 is 16/1197980.