Greatest Common Factor of 3764/760, 3736/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3764/760, 3736/193

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 3764/760,3736/193

Given fractions are 3764/760,3736/193

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 3764,3736

Greatest Common Factor of Numerators i.e. GCF of 3764,3736 is 4 .

LCM of Denominators means LCM of 760,193 as per the given fractions.

LCM of 760,193 is 146680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3764,3736

GCF of Fractions 3764/760,3736/193 is 4/146680

2 3764, 3736
2 1882, 1868
941, 934

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3764,3736 By Matching Biggest Common Factor Method

Greatest Common Factor of 3764,3736 By Matching Biggest Common Factor Method

Factors of 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1,2,4,941,1882,3764

Factors of 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1,2,4,8,467,934,1868,3736

Greatest Common Factor

We found the factors 3764,3736 . The biggest common factor number is the GCF number.
So the greatest common factor 3764,3736 is 4.

Lets's calculate LCM of 760,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 146680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/146680

Therefore, the GCF of Fractions 3764/760,3736/193 is 4/146680

Least Common Multiple of 760,193 with GCF Formula

Least Common Multiple of 760,193 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 760,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,193) = 1

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

GCF(760,193) x common factors =1 x 1 = 1

LCM(760,193) = ( 760 × 193 ) / 1

LCM(760,193) = 146680 / 1

LCM(760,193) = 146680


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 3764/760, 3736/193

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 3764/760, 3736/193?

Answer: GCF of Numerators as per given numbers 3764/760, 3736/193 is

GCF of Numerators i.e. for 3764,3736 is 4

LCM of denominators i.e. for 760,193 is 146680.

Thus, GCF of Fractions is 4/146680.Finally, GCF of Fractions for 3764/760, 3736/193 is 4/146680.