Greatest Common Factor of 1049/671, 5098/6655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1049/671, 5098/6655

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 1049/671,5098/6655

Given fractions are 1049/671,5098/6655

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 1049,5098

Greatest Common Factor of Numerators i.e. GCF of 1049,5098 is 1 .

LCM of Denominators means LCM of 671,6655 as per the given fractions.

LCM of 671,6655 is 405955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1049,5098

GCF of Fractions 1049/671,5098/6655 is 1/405955

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

Greatest Common Factor of 1049,5098 By Matching Biggest Common Factor Method

Greatest Common Factor of 1049,5098 By Matching Biggest Common Factor Method

Factors of 1049

List of positive integer factors of 1049 that divides 1049 without a remainder.

1,1049

Factors of 5098

List of positive integer factors of 5098 that divides 5098 without a remainder.

1,2,2549,5098

Greatest Common Factor

We found the factors 1049,5098 . The biggest common factor number is the GCF number.
So the greatest common factor 1049,5098 is 1.

Lets's calculate LCM of 671,6655

11 671, 6655
61, 605

∴ So the LCM of the given numbers is 11 x 61 x 605 = 405955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405955

Therefore, the GCF of Fractions 1049/671,5098/6655 is 1/405955

Least Common Multiple of 671,6655 with GCF Formula

Least Common Multiple of 671,6655 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 671,6655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,6655) = 11

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

GCF(671,6655) x common factors =11 x 1 = 11

LCM(671,6655) = ( 671 × 6655 ) / 11

LCM(671,6655) = 4465505 / 11

LCM(671,6655) = 405955


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 1049/671, 5098/6655

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 1049/671, 5098/6655?

Answer: GCF of Numerators as per given numbers 1049/671, 5098/6655 is

GCF of Numerators i.e. for 1049,5098 is 1

LCM of denominators i.e. for 671,6655 is 405955.

Thus, GCF of Fractions is 1/405955.Finally, GCF of Fractions for 1049/671, 5098/6655 is 1/405955.