Greatest Common Factor of 6530/532, 1564/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6530/532, 1564/885

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 6530/532,1564/885

Given fractions are 6530/532,1564/885

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 6530,1564

Greatest Common Factor of Numerators i.e. GCF of 6530,1564 is 2 .

LCM of Denominators means LCM of 532,885 as per the given fractions.

LCM of 532,885 is 470820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6530,1564

GCF of Fractions 6530/532,1564/885 is 2/470820

2 6530, 1564
3265, 782

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

Greatest Common Factor of 6530,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 6530,1564 By Matching Biggest Common Factor Method

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 6530,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 6530,1564 is 2.

Lets's calculate LCM of 532,885

Given numbers has no common factors except 1. So, there LCM is their product i.e 470820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/470820

Therefore, the GCF of Fractions 6530/532,1564/885 is 2/470820

Least Common Multiple of 532,885 with GCF Formula

Least Common Multiple of 532,885 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 532,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,885) = 1

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

GCF(532,885) x common factors =1 x 1 = 1

LCM(532,885) = ( 532 × 885 ) / 1

LCM(532,885) = 470820 / 1

LCM(532,885) = 470820


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 6530/532, 1564/885

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 6530/532, 1564/885?

Answer: GCF of Numerators as per given numbers 6530/532, 1564/885 is

GCF of Numerators i.e. for 6530,1564 is 2

LCM of denominators i.e. for 532,885 is 470820.

Thus, GCF of Fractions is 2/470820.Finally, GCF of Fractions for 6530/532, 1564/885 is 2/470820.