Greatest Common Factor of 124/827, 9300/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/827, 9300/920

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 124/827,9300/920

Given fractions are 124/827,9300/920

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 124,9300

Greatest Common Factor of Numerators i.e. GCF of 124,9300 is 124 .

LCM of Denominators means LCM of 827,920 as per the given fractions.

LCM of 827,920 is 760840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,9300

GCF of Fractions 124/827,9300/920 is 124/760840

2 124, 9300
2 62, 4650
31 31, 2325
1, 75

∴ So the GCF of the given numbers is 2 x 2 x 31 = 124

Greatest Common Factor of 124,9300 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,9300 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Greatest Common Factor

We found the factors 124,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 124,9300 is 124.

Lets's calculate LCM of 827,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 760840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 124/760840

Therefore, the GCF of Fractions 124/827,9300/920 is 124/760840

Least Common Multiple of 827,920 with GCF Formula

Least Common Multiple of 827,920 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 827,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,920) = 1

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

GCF(827,920) x common factors =1 x 1 = 1

LCM(827,920) = ( 827 × 920 ) / 1

LCM(827,920) = 760840 / 1

LCM(827,920) = 760840


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 124/827, 9300/920

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 124/827, 9300/920?

Answer: GCF of Numerators as per given numbers 124/827, 9300/920 is

GCF of Numerators i.e. for 124,9300 is 124

LCM of denominators i.e. for 827,920 is 760840.

Thus, GCF of Fractions is 124/760840.Finally, GCF of Fractions for 124/827, 9300/920 is 124/760840.