Greatest Common Factor of 78/59, 63/501, 900/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/59, 63/501, 900/986

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 78/59,63/501,900/986

Given fractions are 78/59,63/501,900/986

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 78,63,900

Greatest Common Factor of Numerators i.e. GCF of 78,63,900 is 3 .

LCM of Denominators means LCM of 59,501,986 as per the given fractions.

LCM of 59,501,986 is 29145174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,63,900

GCF of Fractions 78/59,63/501,900/986 is 3/29145174

3 78, 63, 900
26, 21, 300

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

Greatest Common Factor of 78,63,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,63,900 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 78,63,900 . The biggest common factor number is the GCF number.
So the greatest common factor 78,63,900 is 3.

Lets's calculate LCM of 59,501,986

Given numbers has no common factors except 1. So, there LCM is their product i.e 29145174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29145174

Therefore, the GCF of Fractions 78/59,63/501,900/986 is 3/29145174

Least Common Multiple of 59,501,986 with GCF Formula

Least Common Multiple of 59,501,986 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 59,501,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,501,986) = 1

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

GCF(59,501,986) x common factors =1 x 1 = 1

LCM(59,501,986) = ( 59 × 501 × 986 ) / 1

LCM(59,501,986) = 29145174 / 1

LCM(59,501,986) = 29145174


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 78/59, 63/501, 900/986

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 78/59, 63/501, 900/986?

Answer: GCF of Numerators as per given numbers 78/59, 63/501, 900/986 is

GCF of Numerators i.e. for 78,63,900 is 3

LCM of denominators i.e. for 59,501,986 is 29145174.

Thus, GCF of Fractions is 3/29145174.Finally, GCF of Fractions for 78/59, 63/501, 900/986 is 3/29145174.