Greatest Common Factor of 1649/138, 1075/8660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1649/138, 1075/8660

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 1649/138,1075/8660

Given fractions are 1649/138,1075/8660

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 1649,1075

Greatest Common Factor of Numerators i.e. GCF of 1649,1075 is 1 .

LCM of Denominators means LCM of 138,8660 as per the given fractions.

LCM of 138,8660 is 597540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1649,1075

GCF of Fractions 1649/138,1075/8660 is 1/597540

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

Greatest Common Factor of 1649,1075 By Matching Biggest Common Factor Method

Greatest Common Factor of 1649,1075 By Matching Biggest Common Factor Method

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Greatest Common Factor

We found the factors 1649,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 1649,1075 is 1.

Lets's calculate LCM of 138,8660

2 138, 8660
69, 4330

∴ So the LCM of the given numbers is 2 x 69 x 4330 = 597540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597540

Therefore, the GCF of Fractions 1649/138,1075/8660 is 1/597540

Least Common Multiple of 138,8660 with GCF Formula

Least Common Multiple of 138,8660 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 138,8660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,8660) = 2

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

GCF(138,8660) x common factors =2 x 1 = 2

LCM(138,8660) = ( 138 × 8660 ) / 2

LCM(138,8660) = 1195080 / 2

LCM(138,8660) = 597540


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 1649/138, 1075/8660

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 1649/138, 1075/8660?

Answer: GCF of Numerators as per given numbers 1649/138, 1075/8660 is

GCF of Numerators i.e. for 1649,1075 is 1

LCM of denominators i.e. for 138,8660 is 597540.

Thus, GCF of Fractions is 1/597540.Finally, GCF of Fractions for 1649/138, 1075/8660 is 1/597540.