Greatest Common Factor of 2698/689, 4016/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2698/689, 4016/405

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 2698/689,4016/405

Given fractions are 2698/689,4016/405

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 2698,4016

Greatest Common Factor of Numerators i.e. GCF of 2698,4016 is 2 .

LCM of Denominators means LCM of 689,405 as per the given fractions.

LCM of 689,405 is 279045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2698,4016

GCF of Fractions 2698/689,4016/405 is 2/279045

2 2698, 4016
1349, 2008

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

Greatest Common Factor of 2698,4016 By Matching Biggest Common Factor Method

Greatest Common Factor of 2698,4016 By Matching Biggest Common Factor Method

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1,2,19,38,71,142,1349,2698

Factors of 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1,2,4,8,16,251,502,1004,2008,4016

Greatest Common Factor

We found the factors 2698,4016 . The biggest common factor number is the GCF number.
So the greatest common factor 2698,4016 is 2.

Lets's calculate LCM of 689,405

Given numbers has no common factors except 1. So, there LCM is their product i.e 279045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/279045

Therefore, the GCF of Fractions 2698/689,4016/405 is 2/279045

Least Common Multiple of 689,405 with GCF Formula

Least Common Multiple of 689,405 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 689,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,405) = 1

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

GCF(689,405) x common factors =1 x 1 = 1

LCM(689,405) = ( 689 × 405 ) / 1

LCM(689,405) = 279045 / 1

LCM(689,405) = 279045


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 2698/689, 4016/405

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 2698/689, 4016/405?

Answer: GCF of Numerators as per given numbers 2698/689, 4016/405 is

GCF of Numerators i.e. for 2698,4016 is 2

LCM of denominators i.e. for 689,405 is 279045.

Thus, GCF of Fractions is 2/279045.Finally, GCF of Fractions for 2698/689, 4016/405 is 2/279045.