Greatest Common Factor of 1/42, 72/28, 77/438, 575/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/42, 72/28, 77/438, 575/352

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 1/42,72/28,77/438,575/352

Given fractions are 1/42,72/28,77/438,575/352

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 1,72,77,575

Greatest Common Factor of Numerators i.e. GCF of 1,72,77,575 is 1 .

LCM of Denominators means LCM of 42,28,438,352 as per the given fractions.

LCM of 42,28,438,352 is 539616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,72,77,575

GCF of Fractions 1/42,72/28,77/438,575/352 is 1/539616

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1,72,77,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,72,77,575 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 1,72,77,575 . The biggest common factor number is the GCF number.
So the greatest common factor 1,72,77,575 is 1.

Lets's calculate LCM of 42,28,438,352

2 42, 28, 438, 352
2 21, 14, 219, 176
3 21, 7, 219, 88
7 7, 7, 73, 88
1, 1, 73, 88

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 73 x 88 = 539616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539616

Therefore, the GCF of Fractions 1/42,72/28,77/438,575/352 is 1/539616

Least Common Multiple of 42,28,438,352 with GCF Formula

Least Common Multiple of 42,28,438,352 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 42,28,438,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,28,438,352) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(42,28,438,352) x common factors =2 x 168 = 336

LCM(42,28,438,352) = ( 42 × 28 × 438 × 352 ) / 336

LCM(42,28,438,352) = 181310976 / 336

LCM(42,28,438,352) = 539616


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 1/42, 72/28, 77/438, 575/352

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 1/42, 72/28, 77/438, 575/352?

Answer: GCF of Numerators as per given numbers 1/42, 72/28, 77/438, 575/352 is

GCF of Numerators i.e. for 1,72,77,575 is 1

LCM of denominators i.e. for 42,28,438,352 is 539616.

Thus, GCF of Fractions is 1/539616.Finally, GCF of Fractions for 1/42, 72/28, 77/438, 575/352 is 1/539616.