Greatest Common Factor of 798/70, 3019/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/70, 3019/106

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 798/70,3019/106

Given fractions are 798/70,3019/106

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 798,3019

Greatest Common Factor of Numerators i.e. GCF of 798,3019 is 1 .

LCM of Denominators means LCM of 70,106 as per the given fractions.

LCM of 70,106 is 3710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,3019

GCF of Fractions 798/70,3019/106 is 1/3710

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

Greatest Common Factor of 798,3019 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,3019 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 3019

List of positive integer factors of 3019 that divides 3019 without a remainder.

1,3019

Greatest Common Factor

We found the factors 798,3019 . The biggest common factor number is the GCF number.
So the greatest common factor 798,3019 is 1.

Lets's calculate LCM of 70,106

2 70, 106
35, 53

∴ So the LCM of the given numbers is 2 x 35 x 53 = 3710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3710

Therefore, the GCF of Fractions 798/70,3019/106 is 1/3710

Least Common Multiple of 70,106 with GCF Formula

Least Common Multiple of 70,106 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 70,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,106) = 2

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

GCF(70,106) x common factors =2 x 1 = 2

LCM(70,106) = ( 70 × 106 ) / 2

LCM(70,106) = 7420 / 2

LCM(70,106) = 3710


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 798/70, 3019/106

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 798/70, 3019/106?

Answer: GCF of Numerators as per given numbers 798/70, 3019/106 is

GCF of Numerators i.e. for 798,3019 is 1

LCM of denominators i.e. for 70,106 is 3710.

Thus, GCF of Fractions is 1/3710.Finally, GCF of Fractions for 798/70, 3019/106 is 1/3710.