Greatest Common Factor of 648/860, 105/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/860, 105/222

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 648/860,105/222

Given fractions are 648/860,105/222

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 648,105

Greatest Common Factor of Numerators i.e. GCF of 648,105 is 3 .

LCM of Denominators means LCM of 860,222 as per the given fractions.

LCM of 860,222 is 95460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,105

GCF of Fractions 648/860,105/222 is 3/95460

3 648, 105
216, 35

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 648,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,105 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 648,105 . The biggest common factor number is the GCF number.
So the greatest common factor 648,105 is 3.

Lets's calculate LCM of 860,222

2 860, 222
430, 111

∴ So the LCM of the given numbers is 2 x 430 x 111 = 95460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/95460

Therefore, the GCF of Fractions 648/860,105/222 is 3/95460

Least Common Multiple of 860,222 with GCF Formula

Least Common Multiple of 860,222 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 860,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,222) = 2

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

GCF(860,222) x common factors =2 x 1 = 2

LCM(860,222) = ( 860 × 222 ) / 2

LCM(860,222) = 190920 / 2

LCM(860,222) = 95460


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 648/860, 105/222

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 648/860, 105/222?

Answer: GCF of Numerators as per given numbers 648/860, 105/222 is

GCF of Numerators i.e. for 648,105 is 3

LCM of denominators i.e. for 860,222 is 95460.

Thus, GCF of Fractions is 3/95460.Finally, GCF of Fractions for 648/860, 105/222 is 3/95460.