Greatest Common Factor of 3730/910, 1752/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3730/910, 1752/493

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 3730/910,1752/493

Given fractions are 3730/910,1752/493

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 3730,1752

Greatest Common Factor of Numerators i.e. GCF of 3730,1752 is 2 .

LCM of Denominators means LCM of 910,493 as per the given fractions.

LCM of 910,493 is 448630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3730,1752

GCF of Fractions 3730/910,1752/493 is 2/448630

2 3730, 1752
1865, 876

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

Greatest Common Factor of 3730,1752 By Matching Biggest Common Factor Method

Greatest Common Factor of 3730,1752 By Matching Biggest Common Factor Method

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1,2,5,10,373,746,1865,3730

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Greatest Common Factor

We found the factors 3730,1752 . The biggest common factor number is the GCF number.
So the greatest common factor 3730,1752 is 2.

Lets's calculate LCM of 910,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 448630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/448630

Therefore, the GCF of Fractions 3730/910,1752/493 is 2/448630

Least Common Multiple of 910,493 with GCF Formula

Least Common Multiple of 910,493 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 910,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,493) = 1

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

GCF(910,493) x common factors =1 x 1 = 1

LCM(910,493) = ( 910 × 493 ) / 1

LCM(910,493) = 448630 / 1

LCM(910,493) = 448630


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 3730/910, 1752/493

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 3730/910, 1752/493?

Answer: GCF of Numerators as per given numbers 3730/910, 1752/493 is

GCF of Numerators i.e. for 3730,1752 is 2

LCM of denominators i.e. for 910,493 is 448630.

Thus, GCF of Fractions is 2/448630.Finally, GCF of Fractions for 3730/910, 1752/493 is 2/448630.