Greatest Common Factor of 689/275, 2258/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/275, 2258/315

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 689/275,2258/315

Given fractions are 689/275,2258/315

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 689,2258

Greatest Common Factor of Numerators i.e. GCF of 689,2258 is 1 .

LCM of Denominators means LCM of 275,315 as per the given fractions.

LCM of 275,315 is 17325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,2258

GCF of Fractions 689/275,2258/315 is 1/17325

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 689,2258 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,2258 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 2258

List of positive integer factors of 2258 that divides 2258 without a remainder.

1,2,1129,2258

Greatest Common Factor

We found the factors 689,2258 . The biggest common factor number is the GCF number.
So the greatest common factor 689,2258 is 1.

Lets's calculate LCM of 275,315

5 275, 315
55, 63

∴ So the LCM of the given numbers is 5 x 55 x 63 = 17325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17325

Therefore, the GCF of Fractions 689/275,2258/315 is 1/17325

Least Common Multiple of 275,315 with GCF Formula

Least Common Multiple of 275,315 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 275,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,315) = 5

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

GCF(275,315) x common factors =5 x 1 = 5

LCM(275,315) = ( 275 × 315 ) / 5

LCM(275,315) = 86625 / 5

LCM(275,315) = 17325


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 689/275, 2258/315

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 689/275, 2258/315?

Answer: GCF of Numerators as per given numbers 689/275, 2258/315 is

GCF of Numerators i.e. for 689,2258 is 1

LCM of denominators i.e. for 275,315 is 17325.

Thus, GCF of Fractions is 1/17325.Finally, GCF of Fractions for 689/275, 2258/315 is 1/17325.