Greatest Common Factor of 694/630, 6509/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/630, 6509/664

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 694/630,6509/664

Given fractions are 694/630,6509/664

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 694,6509

Greatest Common Factor of Numerators i.e. GCF of 694,6509 is 1 .

LCM of Denominators means LCM of 630,664 as per the given fractions.

LCM of 630,664 is 209160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,6509

GCF of Fractions 694/630,6509/664 is 1/209160

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

Greatest Common Factor of 694,6509 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,6509 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

Greatest Common Factor

We found the factors 694,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 694,6509 is 1.

Lets's calculate LCM of 630,664

2 630, 664
315, 332

∴ So the LCM of the given numbers is 2 x 315 x 332 = 209160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209160

Therefore, the GCF of Fractions 694/630,6509/664 is 1/209160

Least Common Multiple of 630,664 with GCF Formula

Least Common Multiple of 630,664 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 630,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,664) = 2

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

GCF(630,664) x common factors =2 x 1 = 2

LCM(630,664) = ( 630 × 664 ) / 2

LCM(630,664) = 418320 / 2

LCM(630,664) = 209160


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 694/630, 6509/664

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 694/630, 6509/664?

Answer: GCF of Numerators as per given numbers 694/630, 6509/664 is

GCF of Numerators i.e. for 694,6509 is 1

LCM of denominators i.e. for 630,664 is 209160.

Thus, GCF of Fractions is 1/209160.Finally, GCF of Fractions for 694/630, 6509/664 is 1/209160.