Greatest Common Factor of 4150/739, 9734/1777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4150/739, 9734/1777

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 4150/739,9734/1777

Given fractions are 4150/739,9734/1777

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 4150,9734

Greatest Common Factor of Numerators i.e. GCF of 4150,9734 is 2 .

LCM of Denominators means LCM of 739,1777 as per the given fractions.

LCM of 739,1777 is 1313203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4150,9734

GCF of Fractions 4150/739,9734/1777 is 2/1313203

2 4150, 9734
2075, 4867

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

Greatest Common Factor of 4150,9734 By Matching Biggest Common Factor Method

Greatest Common Factor of 4150,9734 By Matching Biggest Common Factor Method

Factors of 4150

List of positive integer factors of 4150 that divides 4150 without a remainder.

1,2,5,10,25,50,83,166,415,830,2075,4150

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1,2,31,62,157,314,4867,9734

Greatest Common Factor

We found the factors 4150,9734 . The biggest common factor number is the GCF number.
So the greatest common factor 4150,9734 is 2.

Lets's calculate LCM of 739,1777

Given numbers has no common factors except 1. So, there LCM is their product i.e 1313203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1313203

Therefore, the GCF of Fractions 4150/739,9734/1777 is 2/1313203

Least Common Multiple of 739,1777 with GCF Formula

Least Common Multiple of 739,1777 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 739,1777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,1777) = 1

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

GCF(739,1777) x common factors =1 x 1 = 1

LCM(739,1777) = ( 739 × 1777 ) / 1

LCM(739,1777) = 1313203 / 1

LCM(739,1777) = 1313203


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 4150/739, 9734/1777

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 4150/739, 9734/1777?

Answer: GCF of Numerators as per given numbers 4150/739, 9734/1777 is

GCF of Numerators i.e. for 4150,9734 is 2

LCM of denominators i.e. for 739,1777 is 1313203.

Thus, GCF of Fractions is 2/1313203.Finally, GCF of Fractions for 4150/739, 9734/1777 is 2/1313203.