Greatest Common Factor of 798/29, 980/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/29, 980/671

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 798/29,980/671

Given fractions are 798/29,980/671

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 798,980

Greatest Common Factor of Numerators i.e. GCF of 798,980 is 14 .

LCM of Denominators means LCM of 29,671 as per the given fractions.

LCM of 29,671 is 19459 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,980

GCF of Fractions 798/29,980/671 is 14/19459

2 798, 980
7 399, 490
57, 70

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 798,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,980 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 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 798,980 . The biggest common factor number is the GCF number.
So the greatest common factor 798,980 is 14.

Lets's calculate LCM of 29,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 19459

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/19459

Therefore, the GCF of Fractions 798/29,980/671 is 14/19459

Least Common Multiple of 29,671 with GCF Formula

Least Common Multiple of 29,671 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 29,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,671) = 1

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

GCF(29,671) x common factors =1 x 1 = 1

LCM(29,671) = ( 29 × 671 ) / 1

LCM(29,671) = 19459 / 1

LCM(29,671) = 19459


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 798/29, 980/671

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 798/29, 980/671?

Answer: GCF of Numerators as per given numbers 798/29, 980/671 is

GCF of Numerators i.e. for 798,980 is 14

LCM of denominators i.e. for 29,671 is 19459.

Thus, GCF of Fractions is 14/19459.Finally, GCF of Fractions for 798/29, 980/671 is 14/19459.