Greatest Common Factor of 349/77, 523/60, 682/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 349/77, 523/60, 682/12

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 349/77,523/60,682/12

Given fractions are 349/77,523/60,682/12

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 349,523,682

Greatest Common Factor of Numerators i.e. GCF of 349,523,682 is 1 .

LCM of Denominators means LCM of 77,60,12 as per the given fractions.

LCM of 77,60,12 is 4620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 349,523,682

GCF of Fractions 349/77,523/60,682/12 is 1/4620

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

Greatest Common Factor of 349,523,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,523,682 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 349,523,682 . The biggest common factor number is the GCF number.
So the greatest common factor 349,523,682 is 1.

Lets's calculate LCM of 77,60,12

2 77, 60, 12
2 77, 30, 6
3 77, 15, 3
77, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 5 x 1 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 349/77,523/60,682/12 is 1/4620

Least Common Multiple of 77,60,12 with GCF Formula

Least Common Multiple of 77,60,12 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 77,60,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,60,12) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(77,60,12) x common factors =1 x 12 = 12

LCM(77,60,12) = ( 77 × 60 × 12 ) / 12

LCM(77,60,12) = 55440 / 12

LCM(77,60,12) = 4620


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 349/77, 523/60, 682/12

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 349/77, 523/60, 682/12?

Answer: GCF of Numerators as per given numbers 349/77, 523/60, 682/12 is

GCF of Numerators i.e. for 349,523,682 is 1

LCM of denominators i.e. for 77,60,12 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 349/77, 523/60, 682/12 is 1/4620.