Greatest Common Factor of 1684/601, 6969/2635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1684/601, 6969/2635

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 1684/601,6969/2635

Given fractions are 1684/601,6969/2635

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 1684,6969

Greatest Common Factor of Numerators i.e. GCF of 1684,6969 is 1 .

LCM of Denominators means LCM of 601,2635 as per the given fractions.

LCM of 601,2635 is 1583635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1684,6969

GCF of Fractions 1684/601,6969/2635 is 1/1583635

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

Greatest Common Factor of 1684,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 1684,6969 By Matching Biggest Common Factor Method

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 1684,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 1684,6969 is 1.

Lets's calculate LCM of 601,2635

Given numbers has no common factors except 1. So, there LCM is their product i.e 1583635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1583635

Therefore, the GCF of Fractions 1684/601,6969/2635 is 1/1583635

Least Common Multiple of 601,2635 with GCF Formula

Least Common Multiple of 601,2635 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 601,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,2635) = 1

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

GCF(601,2635) x common factors =1 x 1 = 1

LCM(601,2635) = ( 601 × 2635 ) / 1

LCM(601,2635) = 1583635 / 1

LCM(601,2635) = 1583635


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 1684/601, 6969/2635

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 1684/601, 6969/2635?

Answer: GCF of Numerators as per given numbers 1684/601, 6969/2635 is

GCF of Numerators i.e. for 1684,6969 is 1

LCM of denominators i.e. for 601,2635 is 1583635.

Thus, GCF of Fractions is 1/1583635.Finally, GCF of Fractions for 1684/601, 6969/2635 is 1/1583635.