Greatest Common Factor of 65/414, 542/863, 688/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/414, 542/863, 688/509

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 65/414,542/863,688/509

Given fractions are 65/414,542/863,688/509

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 65,542,688

Greatest Common Factor of Numerators i.e. GCF of 65,542,688 is 1 .

LCM of Denominators means LCM of 414,863,509 as per the given fractions.

LCM of 414,863,509 is 181856538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,542,688

GCF of Fractions 65/414,542/863,688/509 is 1/181856538

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

Greatest Common Factor of 65,542,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,542,688 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 65,542,688 . The biggest common factor number is the GCF number.
So the greatest common factor 65,542,688 is 1.

Lets's calculate LCM of 414,863,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 181856538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181856538

Therefore, the GCF of Fractions 65/414,542/863,688/509 is 1/181856538

Least Common Multiple of 414,863,509 with GCF Formula

Least Common Multiple of 414,863,509 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 414,863,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,863,509) = 1

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

GCF(414,863,509) x common factors =1 x 1 = 1

LCM(414,863,509) = ( 414 × 863 × 509 ) / 1

LCM(414,863,509) = 181856538 / 1

LCM(414,863,509) = 181856538


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 65/414, 542/863, 688/509

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 65/414, 542/863, 688/509?

Answer: GCF of Numerators as per given numbers 65/414, 542/863, 688/509 is

GCF of Numerators i.e. for 65,542,688 is 1

LCM of denominators i.e. for 414,863,509 is 181856538.

Thus, GCF of Fractions is 1/181856538.Finally, GCF of Fractions for 65/414, 542/863, 688/509 is 1/181856538.