Greatest Common Factor of 330/662, 531/510, 781/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/662, 531/510, 781/746

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 330/662,531/510,781/746

Given fractions are 330/662,531/510,781/746

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 330,531,781

Greatest Common Factor of Numerators i.e. GCF of 330,531,781 is 1 .

LCM of Denominators means LCM of 662,510,746 as per the given fractions.

LCM of 662,510,746 is 62966130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,531,781

GCF of Fractions 330/662,531/510,781/746 is 1/62966130

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

Greatest Common Factor of 330,531,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,531,781 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 330,531,781 . The biggest common factor number is the GCF number.
So the greatest common factor 330,531,781 is 1.

Lets's calculate LCM of 662,510,746

2 662, 510, 746
331, 255, 373

∴ So the LCM of the given numbers is 2 x 331 x 255 x 373 = 62966130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62966130

Therefore, the GCF of Fractions 330/662,531/510,781/746 is 1/62966130

Least Common Multiple of 662,510,746 with GCF Formula

Least Common Multiple of 662,510,746 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 662,510,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,510,746) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(662,510,746) x common factors =2 x 2 = 4

LCM(662,510,746) = ( 662 × 510 × 746 ) / 4

LCM(662,510,746) = 251864520 / 4

LCM(662,510,746) = 62966130


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 330/662, 531/510, 781/746

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 330/662, 531/510, 781/746?

Answer: GCF of Numerators as per given numbers 330/662, 531/510, 781/746 is

GCF of Numerators i.e. for 330,531,781 is 1

LCM of denominators i.e. for 662,510,746 is 62966130.

Thus, GCF of Fractions is 1/62966130.Finally, GCF of Fractions for 330/662, 531/510, 781/746 is 1/62966130.