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GCF of 4249/523, 2713/912

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 4249/523, 2713/912 i.e 1/476976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4249/523, 2713/912.

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 4249/523,2713/912?

Given fractions are 4249/523,2713/912

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 4249/523,2713/912, numerators are 4249,2713

Denominators are 523,912

The GCF of 4249,2713 is 1 .

LCM of 523,912 is 476976.

The greatest common factor of 4249/523,2713/912 = [GCF of 4249,2713]/[LCM of 523,912]= 1/476976

Therefore, the GCF of 4249/523,2713/912 is 1/476976.

Greatest Common Factor of 4249,2713

To find the highest common factor of 4249,2713, we have to find the factors of both numbers and list the highest common factor.

The factors of 4249 are 1, 7, 607, 4249

The factors of 2713 are 1, 2713

The HCF of 4249,2713 is 1.

Lets's calculate GCF of 4249,2713

Greatest Common Factor (GCF) of 4249,2713 By Common Division

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

Greatest Common Factor of 4249,2713 By Matching Biggest Common Factor Method

Greatest Common Factor of 4249,2713 By Matching Biggest Common Factor Method

Now, list down the factors of 4249

:

1,7,607,4249

Now, list down the factors of 2713

:

1,2713

Greatest Common Factor

We found the factors 4249,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 4249,2713 is 1.

Lets's calculate LCM of 523,912

Lowest Common Multiple of 523,912 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 476976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476976

Therefore, the GCF of Fractions 4249/523,2713/912 is 1/476976

Least Common Multiple of 523,912 with GCF Formula

Least Common Multiple of 523,912 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 523,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,912) = 1

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

GCF(523,912) x common factors =1 x 1 = 1

LCM(523,912) = ( 523 × 912 ) / 1

LCM(523,912) = 476976 / 1

LCM(523,912) = 476976


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FAQs on GCF of Fractions of 4249/523, 2713/912

1. What is the HCF of 4249,2713?

The HCF of 4249,2713 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 4249/523, 2713/912?

Answer: GCF of Numerators as per given numbers 4249/523, 2713/912 is

GCF of Numerators i.e. for 4249,2713 is 1

LCM of denominators i.e. for 523,912 is 476976.

Thus, GCF of Fractions is 1/476976.Finally, GCF of Fractions for 4249/523, 2713/912 is 1/476976.