Greatest Common Factor of 435/65, 509/97, 687/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/65, 509/97, 687/362

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 435/65,509/97,687/362

Given fractions are 435/65,509/97,687/362

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 435,509,687

Greatest Common Factor of Numerators i.e. GCF of 435,509,687 is 1 .

LCM of Denominators means LCM of 65,97,362 as per the given fractions.

LCM of 65,97,362 is 2282410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,509,687

GCF of Fractions 435/65,509/97,687/362 is 1/2282410

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

Greatest Common Factor of 435,509,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,509,687 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 435,509,687 . The biggest common factor number is the GCF number.
So the greatest common factor 435,509,687 is 1.

Lets's calculate LCM of 65,97,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 2282410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2282410

Therefore, the GCF of Fractions 435/65,509/97,687/362 is 1/2282410

Least Common Multiple of 65,97,362 with GCF Formula

Least Common Multiple of 65,97,362 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 65,97,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,97,362) = 1

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

GCF(65,97,362) x common factors =1 x 1 = 1

LCM(65,97,362) = ( 65 × 97 × 362 ) / 1

LCM(65,97,362) = 2282410 / 1

LCM(65,97,362) = 2282410


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 435/65, 509/97, 687/362

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 435/65, 509/97, 687/362?

Answer: GCF of Numerators as per given numbers 435/65, 509/97, 687/362 is

GCF of Numerators i.e. for 435,509,687 is 1

LCM of denominators i.e. for 65,97,362 is 2282410.

Thus, GCF of Fractions is 1/2282410.Finally, GCF of Fractions for 435/65, 509/97, 687/362 is 1/2282410.