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GCF of 4310/733, 3137/949

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4310/733, 3137/949 i.e 1/695617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4310/733, 3137/949.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4310/733,3137/949?

Given fractions are 4310/733,3137/949

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4310/733,3137/949, numerators are 4310,3137

Denominators are 733,949

The GCF of 4310,3137 is 1 .

LCM of 733,949 is 695617.

The greatest common factor of 4310/733,3137/949 = [GCF of 4310,3137]/[LCM of 733,949]= 1/695617

Therefore, the GCF of 4310/733,3137/949 is 1/695617.

Greatest Common Factor of 4310,3137

To find the highest common factor of 4310,3137, we have to find the factors of both numbers and list the highest common factor.

The factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310

The factors of 3137 are 1, 3137

The HCF of 4310,3137 is 1.

Lets's calculate GCF of 4310,3137

Greatest Common Factor (GCF) of 4310,3137 By Common Division

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

Greatest Common Factor of 4310,3137 By Matching Biggest Common Factor Method

Greatest Common Factor of 4310,3137 By Matching Biggest Common Factor Method

Now, list down the factors of 4310

:

1,2,5,10,431,862,2155,4310

Now, list down the factors of 3137

:

1,3137

Greatest Common Factor

We found the factors 4310,3137 . The biggest common factor number is the GCF number.
So the greatest common factor 4310,3137 is 1.

Lets's calculate LCM of 733,949

Lowest Common Multiple of 733,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 695617

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695617

Therefore, the GCF of Fractions 4310/733,3137/949 is 1/695617

Least Common Multiple of 733,949 with GCF Formula

Least Common Multiple of 733,949 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 733,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,949) = 1

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

GCF(733,949) x common factors =1 x 1 = 1

LCM(733,949) = ( 733 × 949 ) / 1

LCM(733,949) = 695617 / 1

LCM(733,949) = 695617


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4310/733, 3137/949

1. What is the HCF of 4310,3137?

The HCF of 4310,3137 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4310/733, 3137/949?

Answer: GCF of Numerators as per given numbers 4310/733, 3137/949 is

GCF of Numerators i.e. for 4310,3137 is 1

LCM of denominators i.e. for 733,949 is 695617.

Thus, GCF of Fractions is 1/695617.Finally, GCF of Fractions for 4310/733, 3137/949 is 1/695617.