Greatest Common Factor of 455/42, 148/63, 881/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/42, 148/63, 881/79

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 455/42,148/63,881/79

Given fractions are 455/42,148/63,881/79

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 455,148,881

Greatest Common Factor of Numerators i.e. GCF of 455,148,881 is 1 .

LCM of Denominators means LCM of 42,63,79 as per the given fractions.

LCM of 42,63,79 is 9954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,148,881

GCF of Fractions 455/42,148/63,881/79 is 1/9954

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

Greatest Common Factor of 455,148,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,148,881 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 455,148,881 . The biggest common factor number is the GCF number.
So the greatest common factor 455,148,881 is 1.

Lets's calculate LCM of 42,63,79

3 42, 63, 79
7 14, 21, 79
2, 3, 79

∴ So the LCM of the given numbers is 3 x 7 x 2 x 3 x 79 = 9954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9954

Therefore, the GCF of Fractions 455/42,148/63,881/79 is 1/9954

Least Common Multiple of 42,63,79 with GCF Formula

Least Common Multiple of 42,63,79 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 42,63,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,63,79) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(42,63,79) x common factors =1 x 21 = 21

LCM(42,63,79) = ( 42 × 63 × 79 ) / 21

LCM(42,63,79) = 209034 / 21

LCM(42,63,79) = 9954


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 455/42, 148/63, 881/79

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 455/42, 148/63, 881/79?

Answer: GCF of Numerators as per given numbers 455/42, 148/63, 881/79 is

GCF of Numerators i.e. for 455,148,881 is 1

LCM of denominators i.e. for 42,63,79 is 9954.

Thus, GCF of Fractions is 1/9954.Finally, GCF of Fractions for 455/42, 148/63, 881/79 is 1/9954.