Greatest Common Factor of 6998/58, 4826/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6998/58, 4826/169

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 6998/58,4826/169

Given fractions are 6998/58,4826/169

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 6998,4826

Greatest Common Factor of Numerators i.e. GCF of 6998,4826 is 2 .

LCM of Denominators means LCM of 58,169 as per the given fractions.

LCM of 58,169 is 9802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6998,4826

GCF of Fractions 6998/58,4826/169 is 2/9802

2 6998, 4826
3499, 2413

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6998,4826 By Matching Biggest Common Factor Method

Greatest Common Factor of 6998,4826 By Matching Biggest Common Factor Method

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1,2,3499,6998

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1,2,19,38,127,254,2413,4826

Greatest Common Factor

We found the factors 6998,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 6998,4826 is 2.

Lets's calculate LCM of 58,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 9802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9802

Therefore, the GCF of Fractions 6998/58,4826/169 is 2/9802

Least Common Multiple of 58,169 with GCF Formula

Least Common Multiple of 58,169 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 58,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,169) = 1

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

GCF(58,169) x common factors =1 x 1 = 1

LCM(58,169) = ( 58 × 169 ) / 1

LCM(58,169) = 9802 / 1

LCM(58,169) = 9802


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 6998/58, 4826/169

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 6998/58, 4826/169?

Answer: GCF of Numerators as per given numbers 6998/58, 4826/169 is

GCF of Numerators i.e. for 6998,4826 is 2

LCM of denominators i.e. for 58,169 is 9802.

Thus, GCF of Fractions is 2/9802.Finally, GCF of Fractions for 6998/58, 4826/169 is 2/9802.