Greatest Common Factor of 3800/739, 1456/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3800/739, 1456/245

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 3800/739,1456/245

Given fractions are 3800/739,1456/245

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 3800,1456

Greatest Common Factor of Numerators i.e. GCF of 3800,1456 is 8 .

LCM of Denominators means LCM of 739,245 as per the given fractions.

LCM of 739,245 is 181055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3800,1456

GCF of Fractions 3800/739,1456/245 is 8/181055

2 3800, 1456
2 1900, 728
2 950, 364
475, 182

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3800,1456 By Matching Biggest Common Factor Method

Greatest Common Factor of 3800,1456 By Matching Biggest Common Factor Method

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 3800,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 3800,1456 is 8.

Lets's calculate LCM of 739,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 181055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/181055

Therefore, the GCF of Fractions 3800/739,1456/245 is 8/181055

Least Common Multiple of 739,245 with GCF Formula

Least Common Multiple of 739,245 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 739,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,245) = 1

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

GCF(739,245) x common factors =1 x 1 = 1

LCM(739,245) = ( 739 × 245 ) / 1

LCM(739,245) = 181055 / 1

LCM(739,245) = 181055


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 3800/739, 1456/245

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 3800/739, 1456/245?

Answer: GCF of Numerators as per given numbers 3800/739, 1456/245 is

GCF of Numerators i.e. for 3800,1456 is 8

LCM of denominators i.e. for 739,245 is 181055.

Thus, GCF of Fractions is 8/181055.Finally, GCF of Fractions for 3800/739, 1456/245 is 8/181055.