Greatest Common Factor of 900/54, 700/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 900/54, 700/162

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 900/54,700/162

Given fractions are 900/54,700/162

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 900,700

Greatest Common Factor of Numerators i.e. GCF of 900,700 is 100 .

LCM of Denominators means LCM of 54,162 as per the given fractions.

LCM of 54,162 is 162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 900,700

GCF of Fractions 900/54,700/162 is 100/162

2 900, 700
2 450, 350
5 225, 175
5 45, 35
9, 7

∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100

Greatest Common Factor of 900,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,700 By Matching Biggest Common Factor Method

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

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 900,700 . The biggest common factor number is the GCF number.
So the greatest common factor 900,700 is 100.

Lets's calculate LCM of 54,162

2 54, 162
3 27, 81
3 9, 27
3 3, 9
1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 3 = 162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/162

Therefore, the GCF of Fractions 900/54,700/162 is 100/162

Least Common Multiple of 54,162 with GCF Formula

Least Common Multiple of 54,162 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 54,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,162) = 54

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

GCF(54,162) x common factors =54 x 1 = 54

LCM(54,162) = ( 54 × 162 ) / 54

LCM(54,162) = 8748 / 54

LCM(54,162) = 162


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 900/54, 700/162

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 900/54, 700/162?

Answer: GCF of Numerators as per given numbers 900/54, 700/162 is

GCF of Numerators i.e. for 900,700 is 100

LCM of denominators i.e. for 54,162 is 162.

Thus, GCF of Fractions is 100/162.Finally, GCF of Fractions for 900/54, 700/162 is 100/162.