Greatest Common Factor of 300/69, 456/84, 632/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/69, 456/84, 632/107

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 300/69,456/84,632/107

Given fractions are 300/69,456/84,632/107

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 300,456,632

Greatest Common Factor of Numerators i.e. GCF of 300,456,632 is 4 .

LCM of Denominators means LCM of 69,84,107 as per the given fractions.

LCM of 69,84,107 is 206724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,456,632

GCF of Fractions 300/69,456/84,632/107 is 4/206724

2 300, 456, 632
2 150, 228, 316
75, 114, 158

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 300,456,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,456,632 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 300,456,632 . The biggest common factor number is the GCF number.
So the greatest common factor 300,456,632 is 4.

Lets's calculate LCM of 69,84,107

3 69, 84, 107
23, 28, 107

∴ So the LCM of the given numbers is 3 x 23 x 28 x 107 = 206724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/206724

Therefore, the GCF of Fractions 300/69,456/84,632/107 is 4/206724

Least Common Multiple of 69,84,107 with GCF Formula

Least Common Multiple of 69,84,107 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 69,84,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,84,107) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,84,107) x common factors =1 x 3 = 3

LCM(69,84,107) = ( 69 × 84 × 107 ) / 3

LCM(69,84,107) = 620172 / 3

LCM(69,84,107) = 206724


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 300/69, 456/84, 632/107

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 300/69, 456/84, 632/107?

Answer: GCF of Numerators as per given numbers 300/69, 456/84, 632/107 is

GCF of Numerators i.e. for 300,456,632 is 4

LCM of denominators i.e. for 69,84,107 is 206724.

Thus, GCF of Fractions is 4/206724.Finally, GCF of Fractions for 300/69, 456/84, 632/107 is 4/206724.