Greatest Common Factor of 293/49, 685/84, 265/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 293/49, 685/84, 265/512

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 293/49,685/84,265/512

Given fractions are 293/49,685/84,265/512

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 293,685,265

Greatest Common Factor of Numerators i.e. GCF of 293,685,265 is 1 .

LCM of Denominators means LCM of 49,84,512 as per the given fractions.

LCM of 49,84,512 is 75264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 293,685,265

GCF of Fractions 293/49,685/84,265/512 is 1/75264

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

Greatest Common Factor of 293,685,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,685,265 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 293,685,265 . The biggest common factor number is the GCF number.
So the greatest common factor 293,685,265 is 1.

Lets's calculate LCM of 49,84,512

2 49, 84, 512
2 49, 42, 256
7 49, 21, 128
7, 3, 128

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 3 x 128 = 75264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75264

Therefore, the GCF of Fractions 293/49,685/84,265/512 is 1/75264

Least Common Multiple of 49,84,512 with GCF Formula

Least Common Multiple of 49,84,512 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 49,84,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,84,512) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(49,84,512) x common factors =1 x 28 = 28

LCM(49,84,512) = ( 49 × 84 × 512 ) / 28

LCM(49,84,512) = 2107392 / 28

LCM(49,84,512) = 75264


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 293/49, 685/84, 265/512

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 293/49, 685/84, 265/512?

Answer: GCF of Numerators as per given numbers 293/49, 685/84, 265/512 is

GCF of Numerators i.e. for 293,685,265 is 1

LCM of denominators i.e. for 49,84,512 is 75264.

Thus, GCF of Fractions is 1/75264.Finally, GCF of Fractions for 293/49, 685/84, 265/512 is 1/75264.