Greatest Common Factor of 898/237, 248/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 898/237, 248/207

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 898/237,248/207

Given fractions are 898/237,248/207

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 898,248

Greatest Common Factor of Numerators i.e. GCF of 898,248 is 2 .

LCM of Denominators means LCM of 237,207 as per the given fractions.

LCM of 237,207 is 16353 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,248

GCF of Fractions 898/237,248/207 is 2/16353

2 898, 248
449, 124

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

Greatest Common Factor of 898,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,248 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 898,248 . The biggest common factor number is the GCF number.
So the greatest common factor 898,248 is 2.


Lets's calculate LCM of 237,207

3 237, 207
79, 69

∴ So the LCM of the given numbers is 3 x 79 x 69 = 16353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16353

Therefore, the GCF of Fractions 898/237,248/207 is 2/16353

Least Common Multiple of 237,207 with GCF Formula

Least Common Multiple of 237,207 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 237,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,207) = 3

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

GCF(237,207) x common factors =3 x 1 = 3

LCM(237,207) = ( 237 × 207 ) / 3

LCM(237,207) = 49059 / 3

LCM(237,207) = 16353


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 898/237, 248/207

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 898/237, 248/207?

Answer: GCF of Numerators as per given numbers 898/237, 248/207 is

GCF of Numerators i.e. for 898,248 is 2

LCM of denominators i.e. for 237,207 is 16353.

Thus, GCF of Fractions is 2/16353.Finally, GCF of Fractions for 898/237, 248/207 is 2/16353.