Greatest Common Factor of 533/96, 7670/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/96, 7670/930

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 533/96,7670/930

Given fractions are 533/96,7670/930

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 533,7670

Greatest Common Factor of Numerators i.e. GCF of 533,7670 is 13 .

LCM of Denominators means LCM of 96,930 as per the given fractions.

LCM of 96,930 is 14880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,7670

GCF of Fractions 533/96,7670/930 is 13/14880

13 533, 7670
41, 590

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 533,7670 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,7670 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Greatest Common Factor

We found the factors 533,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 533,7670 is 13.

Lets's calculate LCM of 96,930

2 96, 930
3 48, 465
16, 155

∴ So the LCM of the given numbers is 2 x 3 x 16 x 155 = 14880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/14880

Therefore, the GCF of Fractions 533/96,7670/930 is 13/14880

Least Common Multiple of 96,930 with GCF Formula

Least Common Multiple of 96,930 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 96,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,930) = 6

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

GCF(96,930) x common factors =6 x 1 = 6

LCM(96,930) = ( 96 × 930 ) / 6

LCM(96,930) = 89280 / 6

LCM(96,930) = 14880


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 533/96, 7670/930

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 533/96, 7670/930?

Answer: GCF of Numerators as per given numbers 533/96, 7670/930 is

GCF of Numerators i.e. for 533,7670 is 13

LCM of denominators i.e. for 96,930 is 14880.

Thus, GCF of Fractions is 13/14880.Finally, GCF of Fractions for 533/96, 7670/930 is 13/14880.