Greatest Common Factor of 869/65, 514/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/65, 514/437

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 869/65,514/437

Given fractions are 869/65,514/437

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 869,514

Greatest Common Factor of Numerators i.e. GCF of 869,514 is 1 .

LCM of Denominators means LCM of 65,437 as per the given fractions.

LCM of 65,437 is 28405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,514

GCF of Fractions 869/65,514/437 is 1/28405

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

Greatest Common Factor of 869,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,514 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 869,514 . The biggest common factor number is the GCF number.
So the greatest common factor 869,514 is 1.

Lets's calculate LCM of 65,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 28405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28405

Therefore, the GCF of Fractions 869/65,514/437 is 1/28405

Least Common Multiple of 65,437 with GCF Formula

Least Common Multiple of 65,437 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 65,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,437) = 1

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

GCF(65,437) x common factors =1 x 1 = 1

LCM(65,437) = ( 65 × 437 ) / 1

LCM(65,437) = 28405 / 1

LCM(65,437) = 28405


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 869/65, 514/437

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 869/65, 514/437?

Answer: GCF of Numerators as per given numbers 869/65, 514/437 is

GCF of Numerators i.e. for 869,514 is 1

LCM of denominators i.e. for 65,437 is 28405.

Thus, GCF of Fractions is 1/28405.Finally, GCF of Fractions for 869/65, 514/437 is 1/28405.