Greatest Common Factor of 465/14, 308/30, 784/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/14, 308/30, 784/783

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 465/14,308/30,784/783

Given fractions are 465/14,308/30,784/783

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 465,308,784

Greatest Common Factor of Numerators i.e. GCF of 465,308,784 is 1 .

LCM of Denominators means LCM of 14,30,783 as per the given fractions.

LCM of 14,30,783 is 54810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,308,784

GCF of Fractions 465/14,308/30,784/783 is 1/54810

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

Greatest Common Factor of 465,308,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,308,784 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 465,308,784 . The biggest common factor number is the GCF number.
So the greatest common factor 465,308,784 is 1.

Lets's calculate LCM of 14,30,783

2 14, 30, 783
3 7, 15, 783
7, 5, 261

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 261 = 54810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54810

Therefore, the GCF of Fractions 465/14,308/30,784/783 is 1/54810

Least Common Multiple of 14,30,783 with GCF Formula

Least Common Multiple of 14,30,783 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 14,30,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,30,783) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(14,30,783) x common factors =1 x 6 = 6

LCM(14,30,783) = ( 14 × 30 × 783 ) / 6

LCM(14,30,783) = 328860 / 6

LCM(14,30,783) = 54810


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 465/14, 308/30, 784/783

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 465/14, 308/30, 784/783?

Answer: GCF of Numerators as per given numbers 465/14, 308/30, 784/783 is

GCF of Numerators i.e. for 465,308,784 is 1

LCM of denominators i.e. for 14,30,783 is 54810.

Thus, GCF of Fractions is 1/54810.Finally, GCF of Fractions for 465/14, 308/30, 784/783 is 1/54810.