Greatest Common Factor of 1700/513, 9867/2126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1700/513, 9867/2126

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 1700/513,9867/2126

Given fractions are 1700/513,9867/2126

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 1700,9867

Greatest Common Factor of Numerators i.e. GCF of 1700,9867 is 1 .

LCM of Denominators means LCM of 513,2126 as per the given fractions.

LCM of 513,2126 is 1090638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1700,9867

GCF of Fractions 1700/513,9867/2126 is 1/1090638

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

Greatest Common Factor of 1700,9867 By Matching Biggest Common Factor Method

Greatest Common Factor of 1700,9867 By Matching Biggest Common Factor Method

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867

Greatest Common Factor

We found the factors 1700,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 1700,9867 is 1.

Lets's calculate LCM of 513,2126

Given numbers has no common factors except 1. So, there LCM is their product i.e 1090638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1090638

Therefore, the GCF of Fractions 1700/513,9867/2126 is 1/1090638

Least Common Multiple of 513,2126 with GCF Formula

Least Common Multiple of 513,2126 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 513,2126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,2126) = 1

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

GCF(513,2126) x common factors =1 x 1 = 1

LCM(513,2126) = ( 513 × 2126 ) / 1

LCM(513,2126) = 1090638 / 1

LCM(513,2126) = 1090638


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 1700/513, 9867/2126

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 1700/513, 9867/2126?

Answer: GCF of Numerators as per given numbers 1700/513, 9867/2126 is

GCF of Numerators i.e. for 1700,9867 is 1

LCM of denominators i.e. for 513,2126 is 1090638.

Thus, GCF of Fractions is 1/1090638.Finally, GCF of Fractions for 1700/513, 9867/2126 is 1/1090638.