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GCF of 524/49, 744/711

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 524/49, 744/711 i.e 4/34839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/49, 744/711.

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 524/49,744/711?

Given fractions are 524/49,744/711

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 524/49,744/711, numerators are 524,744

Denominators are 49,711

The GCF of 524,744 is 4 .

LCM of 49,711 is 34839.

The greatest common factor of 524/49,744/711 = [GCF of 524,744]/[LCM of 49,711]= 4/34839

Therefore, the GCF of 524/49,744/711 is 4/34839.

Greatest Common Factor of 524,744

To find the highest common factor of 524,744, we have to find the factors of both numbers and list the highest common factor.

The factors of 524 are 1, 2, 4, 131, 262, 524

The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

The HCF of 524,744 is 4.

Lets's calculate GCF of 524,744

Greatest Common Factor (GCF) of 524,744 By Common Division

2 524, 744
2 262, 372
131, 186

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 524,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,744 By Matching Biggest Common Factor Method

Now, list down the factors of 524

:

1,2,4,131,262,524

Now, list down the factors of 744

:

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 524,744 . The biggest common factor number is the GCF number.
So the greatest common factor 524,744 is 4.

Lets's calculate LCM of 49,711

Lowest Common Multiple of 49,711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34839

Therefore, the GCF of Fractions 524/49,744/711 is 4/34839

Least Common Multiple of 49,711 with GCF Formula

Least Common Multiple of 49,711 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 49,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,711) = 1

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

GCF(49,711) x common factors =1 x 1 = 1

LCM(49,711) = ( 49 × 711 ) / 1

LCM(49,711) = 34839 / 1

LCM(49,711) = 34839


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FAQs on GCF of Fractions of 524/49, 744/711

1. What is the HCF of 524,744?

The HCF of 524,744 is 4

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 524/49, 744/711?

Answer: GCF of Numerators as per given numbers 524/49, 744/711 is

GCF of Numerators i.e. for 524,744 is 4

LCM of denominators i.e. for 49,711 is 34839.

Thus, GCF of Fractions is 4/34839.Finally, GCF of Fractions for 524/49, 744/711 is 4/34839.