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GCF of 974/37, 424/738

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 974/37, 424/738 i.e 2/27306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/37, 424/738.

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 974/37,424/738?

Given fractions are 974/37,424/738

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 974/37,424/738, numerators are 974,424

Denominators are 37,738

The GCF of 974,424 is 2 .

LCM of 37,738 is 27306.

The greatest common factor of 974/37,424/738 = [GCF of 974,424]/[LCM of 37,738]= 2/27306

Therefore, the GCF of 974/37,424/738 is 2/27306.

Greatest Common Factor of 974,424

To find the highest common factor of 974,424, we have to find the factors of both numbers and list the highest common factor.

The factors of 974 are 1, 2, 487, 974

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The HCF of 974,424 is 2.

Lets's calculate GCF of 974,424

Greatest Common Factor (GCF) of 974,424 By Common Division

2 974, 424
487, 212

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

Greatest Common Factor of 974,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,424 By Matching Biggest Common Factor Method

Now, list down the factors of 974

:

1,2,487,974

Now, list down the factors of 424

:

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 974,424 . The biggest common factor number is the GCF number.
So the greatest common factor 974,424 is 2.

Lets's calculate LCM of 37,738

Lowest Common Multiple of 37,738 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27306

Therefore, the GCF of Fractions 974/37,424/738 is 2/27306

Least Common Multiple of 37,738 with GCF Formula

Least Common Multiple of 37,738 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 37,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,738) = 1

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

GCF(37,738) x common factors =1 x 1 = 1

LCM(37,738) = ( 37 × 738 ) / 1

LCM(37,738) = 27306 / 1

LCM(37,738) = 27306


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FAQs on GCF of Fractions of 974/37, 424/738

1. What is the HCF of 974,424?

The HCF of 974,424 is 2

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 974/37, 424/738?

Answer: GCF of Numerators as per given numbers 974/37, 424/738 is

GCF of Numerators i.e. for 974,424 is 2

LCM of denominators i.e. for 37,738 is 27306.

Thus, GCF of Fractions is 2/27306.Finally, GCF of Fractions for 974/37, 424/738 is 2/27306.