Greatest Common Factor of 455/42, 430/67, 278/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/42, 430/67, 278/153

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 455/42,430/67,278/153

Given fractions are 455/42,430/67,278/153

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 455,430,278

Greatest Common Factor of Numerators i.e. GCF of 455,430,278 is 1 .

LCM of Denominators means LCM of 42,67,153 as per the given fractions.

LCM of 42,67,153 is 143514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,430,278

GCF of Fractions 455/42,430/67,278/153 is 1/143514

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

Greatest Common Factor of 455,430,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,430,278 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 430

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

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

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 455,430,278 . The biggest common factor number is the GCF number.
So the greatest common factor 455,430,278 is 1.

Lets's calculate LCM of 42,67,153

3 42, 67, 153
14, 67, 51

∴ So the LCM of the given numbers is 3 x 14 x 67 x 51 = 143514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143514

Therefore, the GCF of Fractions 455/42,430/67,278/153 is 1/143514

Least Common Multiple of 42,67,153 with GCF Formula

Least Common Multiple of 42,67,153 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 42,67,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,67,153) = 1

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

GCF(42,67,153) x common factors =1 x 3 = 3

LCM(42,67,153) = ( 42 × 67 × 153 ) / 3

LCM(42,67,153) = 430542 / 3

LCM(42,67,153) = 143514


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, 430/67, 278/153

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, 430/67, 278/153?

Answer: GCF of Numerators as per given numbers 455/42, 430/67, 278/153 is

GCF of Numerators i.e. for 455,430,278 is 1

LCM of denominators i.e. for 42,67,153 is 143514.

Thus, GCF of Fractions is 1/143514.Finally, GCF of Fractions for 455/42, 430/67, 278/153 is 1/143514.