Greatest Common Factor of 248/72, 728/10, 686/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 248/72, 728/10, 686/741

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 248/72,728/10,686/741

Given fractions are 248/72,728/10,686/741

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 248,728,686

Greatest Common Factor of Numerators i.e. GCF of 248,728,686 is 2 .

LCM of Denominators means LCM of 72,10,741 as per the given fractions.

LCM of 72,10,741 is 88920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 248,728,686

GCF of Fractions 248/72,728/10,686/741 is 2/88920

2 248, 728, 686
124, 364, 343

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 248,728,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,728,686 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 248,728,686 . The biggest common factor number is the GCF number.
So the greatest common factor 248,728,686 is 2.

Lets's calculate LCM of 72,10,741

2 72, 10, 741
3 36, 5, 741
12, 5, 247

∴ So the LCM of the given numbers is 2 x 3 x 12 x 5 x 247 = 88920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88920

Therefore, the GCF of Fractions 248/72,728/10,686/741 is 2/88920

Least Common Multiple of 72,10,741 with GCF Formula

Least Common Multiple of 72,10,741 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 72,10,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,10,741) = 1

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

GCF(72,10,741) x common factors =1 x 6 = 6

LCM(72,10,741) = ( 72 × 10 × 741 ) / 6

LCM(72,10,741) = 533520 / 6

LCM(72,10,741) = 88920


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 248/72, 728/10, 686/741

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 248/72, 728/10, 686/741?

Answer: GCF of Numerators as per given numbers 248/72, 728/10, 686/741 is

GCF of Numerators i.e. for 248,728,686 is 2

LCM of denominators i.e. for 72,10,741 is 88920.

Thus, GCF of Fractions is 2/88920.Finally, GCF of Fractions for 248/72, 728/10, 686/741 is 2/88920.