Greatest Common Factor of 698/40, 420/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 698/40, 420/297

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 698/40,420/297

Given fractions are 698/40,420/297

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 698,420

Greatest Common Factor of Numerators i.e. GCF of 698,420 is 2 .

LCM of Denominators means LCM of 40,297 as per the given fractions.

LCM of 40,297 is 11880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 698,420

GCF of Fractions 698/40,420/297 is 2/11880

2 698, 420
349, 210

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

Greatest Common Factor of 698,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,420 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 698,420 . The biggest common factor number is the GCF number.
So the greatest common factor 698,420 is 2.

Lets's calculate LCM of 40,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 11880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11880

Therefore, the GCF of Fractions 698/40,420/297 is 2/11880

Least Common Multiple of 40,297 with GCF Formula

Least Common Multiple of 40,297 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 40,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,297) = 1

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

GCF(40,297) x common factors =1 x 1 = 1

LCM(40,297) = ( 40 × 297 ) / 1

LCM(40,297) = 11880 / 1

LCM(40,297) = 11880


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 698/40, 420/297

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 698/40, 420/297?

Answer: GCF of Numerators as per given numbers 698/40, 420/297 is

GCF of Numerators i.e. for 698,420 is 2

LCM of denominators i.e. for 40,297 is 11880.

Thus, GCF of Fractions is 2/11880.Finally, GCF of Fractions for 698/40, 420/297 is 2/11880.