Greatest Common Factor of 1464/529, 7085/6445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1464/529, 7085/6445

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 1464/529,7085/6445

Given fractions are 1464/529,7085/6445

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 1464,7085

Greatest Common Factor of Numerators i.e. GCF of 1464,7085 is 1 .

LCM of Denominators means LCM of 529,6445 as per the given fractions.

LCM of 529,6445 is 3409405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1464,7085

GCF of Fractions 1464/529,7085/6445 is 1/3409405

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

Greatest Common Factor of 1464,7085 By Matching Biggest Common Factor Method

Greatest Common Factor of 1464,7085 By Matching Biggest Common Factor Method

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1,5,13,65,109,545,1417,7085

Greatest Common Factor

We found the factors 1464,7085 . The biggest common factor number is the GCF number.
So the greatest common factor 1464,7085 is 1.

Lets's calculate LCM of 529,6445

Given numbers has no common factors except 1. So, there LCM is their product i.e 3409405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3409405

Therefore, the GCF of Fractions 1464/529,7085/6445 is 1/3409405

Least Common Multiple of 529,6445 with GCF Formula

Least Common Multiple of 529,6445 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 529,6445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,6445) = 1

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

GCF(529,6445) x common factors =1 x 1 = 1

LCM(529,6445) = ( 529 × 6445 ) / 1

LCM(529,6445) = 3409405 / 1

LCM(529,6445) = 3409405


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 1464/529, 7085/6445

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 1464/529, 7085/6445?

Answer: GCF of Numerators as per given numbers 1464/529, 7085/6445 is

GCF of Numerators i.e. for 1464,7085 is 1

LCM of denominators i.e. for 529,6445 is 3409405.

Thus, GCF of Fractions is 1/3409405.Finally, GCF of Fractions for 1464/529, 7085/6445 is 1/3409405.