Greatest Common Factor of 6220/78, 6275/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6220/78, 6275/566

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 6220/78,6275/566

Given fractions are 6220/78,6275/566

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 6220,6275

Greatest Common Factor of Numerators i.e. GCF of 6220,6275 is 5 .

LCM of Denominators means LCM of 78,566 as per the given fractions.

LCM of 78,566 is 22074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6220,6275

GCF of Fractions 6220/78,6275/566 is 5/22074

5 6220, 6275
1244, 1255

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6220,6275 By Matching Biggest Common Factor Method

Greatest Common Factor of 6220,6275 By Matching Biggest Common Factor Method

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1,2,4,5,10,20,311,622,1244,1555,3110,6220

Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1,5,25,251,1255,6275

Greatest Common Factor

We found the factors 6220,6275 . The biggest common factor number is the GCF number.
So the greatest common factor 6220,6275 is 5.

Lets's calculate LCM of 78,566

2 78, 566
39, 283

∴ So the LCM of the given numbers is 2 x 39 x 283 = 22074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/22074

Therefore, the GCF of Fractions 6220/78,6275/566 is 5/22074

Least Common Multiple of 78,566 with GCF Formula

Least Common Multiple of 78,566 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 78,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,566) = 2

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

GCF(78,566) x common factors =2 x 1 = 2

LCM(78,566) = ( 78 × 566 ) / 2

LCM(78,566) = 44148 / 2

LCM(78,566) = 22074


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 6220/78, 6275/566

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 6220/78, 6275/566?

Answer: GCF of Numerators as per given numbers 6220/78, 6275/566 is

GCF of Numerators i.e. for 6220,6275 is 5

LCM of denominators i.e. for 78,566 is 22074.

Thus, GCF of Fractions is 5/22074.Finally, GCF of Fractions for 6220/78, 6275/566 is 5/22074.