Greatest Common Factor of 649/154, 990/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/154, 990/762

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 649/154,990/762

Given fractions are 649/154,990/762

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 649,990

Greatest Common Factor of Numerators i.e. GCF of 649,990 is 11 .

LCM of Denominators means LCM of 154,762 as per the given fractions.

LCM of 154,762 is 58674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,990

GCF of Fractions 649/154,990/762 is 11/58674

11 649, 990
59, 90

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 649,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,990 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 649,990 . The biggest common factor number is the GCF number.
So the greatest common factor 649,990 is 11.

Lets's calculate LCM of 154,762

2 154, 762
77, 381

∴ So the LCM of the given numbers is 2 x 77 x 381 = 58674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/58674

Therefore, the GCF of Fractions 649/154,990/762 is 11/58674

Least Common Multiple of 154,762 with GCF Formula

Least Common Multiple of 154,762 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 154,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,762) = 2

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

GCF(154,762) x common factors =2 x 1 = 2

LCM(154,762) = ( 154 × 762 ) / 2

LCM(154,762) = 117348 / 2

LCM(154,762) = 58674


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 649/154, 990/762

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 649/154, 990/762?

Answer: GCF of Numerators as per given numbers 649/154, 990/762 is

GCF of Numerators i.e. for 649,990 is 11

LCM of denominators i.e. for 154,762 is 58674.

Thus, GCF of Fractions is 11/58674.Finally, GCF of Fractions for 649/154, 990/762 is 11/58674.