Greatest Common Factor of 154/606, 4929/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/606, 4929/262

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 154/606,4929/262

Given fractions are 154/606,4929/262

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 154,4929

Greatest Common Factor of Numerators i.e. GCF of 154,4929 is 1 .

LCM of Denominators means LCM of 606,262 as per the given fractions.

LCM of 606,262 is 79386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,4929

GCF of Fractions 154/606,4929/262 is 1/79386

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

Greatest Common Factor of 154,4929 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,4929 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 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1,3,31,53,93,159,1643,4929

Greatest Common Factor

We found the factors 154,4929 . The biggest common factor number is the GCF number.
So the greatest common factor 154,4929 is 1.

Lets's calculate LCM of 606,262

2 606, 262
303, 131

∴ So the LCM of the given numbers is 2 x 303 x 131 = 79386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79386

Therefore, the GCF of Fractions 154/606,4929/262 is 1/79386

Least Common Multiple of 606,262 with GCF Formula

Least Common Multiple of 606,262 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 606,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,262) = 2

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

GCF(606,262) x common factors =2 x 1 = 2

LCM(606,262) = ( 606 × 262 ) / 2

LCM(606,262) = 158772 / 2

LCM(606,262) = 79386


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 154/606, 4929/262

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 154/606, 4929/262?

Answer: GCF of Numerators as per given numbers 154/606, 4929/262 is

GCF of Numerators i.e. for 154,4929 is 1

LCM of denominators i.e. for 606,262 is 79386.

Thus, GCF of Fractions is 1/79386.Finally, GCF of Fractions for 154/606, 4929/262 is 1/79386.