Greatest Common Factor of 1690/515, 4500/9059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1690/515, 4500/9059

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 1690/515,4500/9059

Given fractions are 1690/515,4500/9059

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 1690,4500

Greatest Common Factor of Numerators i.e. GCF of 1690,4500 is 10 .

LCM of Denominators means LCM of 515,9059 as per the given fractions.

LCM of 515,9059 is 4665385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1690,4500

GCF of Fractions 1690/515,4500/9059 is 10/4665385

2 1690, 4500
5 845, 2250
169, 450

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1690,4500 By Matching Biggest Common Factor Method

Greatest Common Factor of 1690,4500 By Matching Biggest Common Factor Method

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500

Greatest Common Factor

We found the factors 1690,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 1690,4500 is 10.

Lets's calculate LCM of 515,9059

Given numbers has no common factors except 1. So, there LCM is their product i.e 4665385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4665385

Therefore, the GCF of Fractions 1690/515,4500/9059 is 10/4665385

Least Common Multiple of 515,9059 with GCF Formula

Least Common Multiple of 515,9059 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 515,9059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,9059) = 1

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

GCF(515,9059) x common factors =1 x 1 = 1

LCM(515,9059) = ( 515 × 9059 ) / 1

LCM(515,9059) = 4665385 / 1

LCM(515,9059) = 4665385


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 1690/515, 4500/9059

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 1690/515, 4500/9059?

Answer: GCF of Numerators as per given numbers 1690/515, 4500/9059 is

GCF of Numerators i.e. for 1690,4500 is 10

LCM of denominators i.e. for 515,9059 is 4665385.

Thus, GCF of Fractions is 10/4665385.Finally, GCF of Fractions for 1690/515, 4500/9059 is 10/4665385.