Greatest Common Factor of 689/949, 2828/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/949, 2828/451

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 689/949,2828/451

Given fractions are 689/949,2828/451

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 689,2828

Greatest Common Factor of Numerators i.e. GCF of 689,2828 is 1 .

LCM of Denominators means LCM of 949,451 as per the given fractions.

LCM of 949,451 is 427999 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,2828

GCF of Fractions 689/949,2828/451 is 1/427999

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

Greatest Common Factor of 689,2828 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,2828 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 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1,2,4,7,14,28,101,202,404,707,1414,2828

Greatest Common Factor

We found the factors 689,2828 . The biggest common factor number is the GCF number.
So the greatest common factor 689,2828 is 1.

Lets's calculate LCM of 949,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 427999

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427999

Therefore, the GCF of Fractions 689/949,2828/451 is 1/427999

Least Common Multiple of 949,451 with GCF Formula

Least Common Multiple of 949,451 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 949,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,451) = 1

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

GCF(949,451) x common factors =1 x 1 = 1

LCM(949,451) = ( 949 × 451 ) / 1

LCM(949,451) = 427999 / 1

LCM(949,451) = 427999


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 689/949, 2828/451

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 689/949, 2828/451?

Answer: GCF of Numerators as per given numbers 689/949, 2828/451 is

GCF of Numerators i.e. for 689,2828 is 1

LCM of denominators i.e. for 949,451 is 427999.

Thus, GCF of Fractions is 1/427999.Finally, GCF of Fractions for 689/949, 2828/451 is 1/427999.