Greatest Common Factor of 638/42, 792/60, 430/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/42, 792/60, 430/100

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 638/42,792/60,430/100

Given fractions are 638/42,792/60,430/100

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 638,792,430

Greatest Common Factor of Numerators i.e. GCF of 638,792,430 is 2 .

LCM of Denominators means LCM of 42,60,100 as per the given fractions.

LCM of 42,60,100 is 2100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,792,430

GCF of Fractions 638/42,792/60,430/100 is 2/2100

2 638, 792, 430
319, 396, 215

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

Greatest Common Factor of 638,792,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,792,430 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 638,792,430 . The biggest common factor number is the GCF number.
So the greatest common factor 638,792,430 is 2.

Lets's calculate LCM of 42,60,100

2 42, 60, 100
2 21, 30, 50
3 21, 15, 25
5 7, 5, 25
7, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 5 = 2100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2100

Therefore, the GCF of Fractions 638/42,792/60,430/100 is 2/2100

Least Common Multiple of 42,60,100 with GCF Formula

Least Common Multiple of 42,60,100 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 42,60,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,60,100) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(42,60,100) x common factors =2 x 60 = 120

LCM(42,60,100) = ( 42 × 60 × 100 ) / 120

LCM(42,60,100) = 252000 / 120

LCM(42,60,100) = 2100


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 638/42, 792/60, 430/100

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 638/42, 792/60, 430/100?

Answer: GCF of Numerators as per given numbers 638/42, 792/60, 430/100 is

GCF of Numerators i.e. for 638,792,430 is 2

LCM of denominators i.e. for 42,60,100 is 2100.

Thus, GCF of Fractions is 2/2100.Finally, GCF of Fractions for 638/42, 792/60, 430/100 is 2/2100.