Greatest Common Factor of 154/456, 4536/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/456, 4536/412

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 154/456,4536/412

Given fractions are 154/456,4536/412

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 154,4536

Greatest Common Factor of Numerators i.e. GCF of 154,4536 is 14 .

LCM of Denominators means LCM of 456,412 as per the given fractions.

LCM of 456,412 is 46968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,4536

GCF of Fractions 154/456,4536/412 is 14/46968

2 154, 4536
7 77, 2268
11, 324

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 154,4536 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,4536 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536

Greatest Common Factor

We found the factors 154,4536 . The biggest common factor number is the GCF number.
So the greatest common factor 154,4536 is 14.

Lets's calculate LCM of 456,412

2 456, 412
2 228, 206
114, 103

∴ So the LCM of the given numbers is 2 x 2 x 114 x 103 = 46968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/46968

Therefore, the GCF of Fractions 154/456,4536/412 is 14/46968

Least Common Multiple of 456,412 with GCF Formula

Least Common Multiple of 456,412 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 456,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,412) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(456,412) x common factors =4 x 1 = 4

LCM(456,412) = ( 456 × 412 ) / 4

LCM(456,412) = 187872 / 4

LCM(456,412) = 46968


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 154/456, 4536/412

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 154/456, 4536/412?

Answer: GCF of Numerators as per given numbers 154/456, 4536/412 is

GCF of Numerators i.e. for 154,4536 is 14

LCM of denominators i.e. for 456,412 is 46968.

Thus, GCF of Fractions is 14/46968.Finally, GCF of Fractions for 154/456, 4536/412 is 14/46968.