Greatest Common Factor of 154/618, 688/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/618, 688/900

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 154/618,688/900

Given fractions are 154/618,688/900

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 154,688

Greatest Common Factor of Numerators i.e. GCF of 154,688 is 2 .

LCM of Denominators means LCM of 618,900 as per the given fractions.

LCM of 618,900 is 92700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,688

GCF of Fractions 154/618,688/900 is 2/92700

2 154, 688
77, 344

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 154,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,688 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 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 154,688 . The biggest common factor number is the GCF number.
So the greatest common factor 154,688 is 2.

Lets's calculate LCM of 618,900

2 618, 900
3 309, 450
103, 150

∴ So the LCM of the given numbers is 2 x 3 x 103 x 150 = 92700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92700

Therefore, the GCF of Fractions 154/618,688/900 is 2/92700

Least Common Multiple of 618,900 with GCF Formula

Least Common Multiple of 618,900 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 618,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,900) = 6

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

GCF(618,900) x common factors =6 x 1 = 6

LCM(618,900) = ( 618 × 900 ) / 6

LCM(618,900) = 556200 / 6

LCM(618,900) = 92700


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 154/618, 688/900

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 154/618, 688/900?

Answer: GCF of Numerators as per given numbers 154/618, 688/900 is

GCF of Numerators i.e. for 154,688 is 2

LCM of denominators i.e. for 618,900 is 92700.

Thus, GCF of Fractions is 2/92700.Finally, GCF of Fractions for 154/618, 688/900 is 2/92700.