Greatest Common Factor of 993/748, 4688/3685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 993/748, 4688/3685

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 993/748,4688/3685

Given fractions are 993/748,4688/3685

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 993,4688

Greatest Common Factor of Numerators i.e. GCF of 993,4688 is 1 .

LCM of Denominators means LCM of 748,3685 as per the given fractions.

LCM of 748,3685 is 250580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 993,4688

GCF of Fractions 993/748,4688/3685 is 1/250580

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

Greatest Common Factor of 993,4688 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,4688 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1,2,4,8,16,293,586,1172,2344,4688

Greatest Common Factor

We found the factors 993,4688 . The biggest common factor number is the GCF number.
So the greatest common factor 993,4688 is 1.

Lets's calculate LCM of 748,3685

11 748, 3685
68, 335

∴ So the LCM of the given numbers is 11 x 68 x 335 = 250580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250580

Therefore, the GCF of Fractions 993/748,4688/3685 is 1/250580

Least Common Multiple of 748,3685 with GCF Formula

Least Common Multiple of 748,3685 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 748,3685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,3685) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(748,3685) x common factors =11 x 1 = 11

LCM(748,3685) = ( 748 × 3685 ) / 11

LCM(748,3685) = 2756380 / 11

LCM(748,3685) = 250580


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 993/748, 4688/3685

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 993/748, 4688/3685?

Answer: GCF of Numerators as per given numbers 993/748, 4688/3685 is

GCF of Numerators i.e. for 993,4688 is 1

LCM of denominators i.e. for 748,3685 is 250580.

Thus, GCF of Fractions is 1/250580.Finally, GCF of Fractions for 993/748, 4688/3685 is 1/250580.