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GCF of 974/31, 186/452

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 974/31, 186/452 i.e 2/14012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/31, 186/452.

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 974/31,186/452?

Given fractions are 974/31,186/452

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 974/31,186/452, numerators are 974,186

Denominators are 31,452

The GCF of 974,186 is 2 .

LCM of 31,452 is 14012.

The greatest common factor of 974/31,186/452 = [GCF of 974,186]/[LCM of 31,452]= 2/14012

Therefore, the GCF of 974/31,186/452 is 2/14012.

Greatest Common Factor of 974,186

To find the highest common factor of 974,186, 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 186 are 1, 2, 3, 6, 31, 62, 93, 186

The HCF of 974,186 is 2.

Lets's calculate GCF of 974,186

Greatest Common Factor (GCF) of 974,186 By Common Division

2 974, 186
487, 93

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

Greatest Common Factor of 974,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,186 By Matching Biggest Common Factor Method

Now, list down the factors of 974

:

1,2,487,974

Now, list down the factors of 186

:

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 974,186 . The biggest common factor number is the GCF number.
So the greatest common factor 974,186 is 2.

Lets's calculate LCM of 31,452

Lowest Common Multiple of 31,452 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14012

Therefore, the GCF of Fractions 974/31,186/452 is 2/14012

Least Common Multiple of 31,452 with GCF Formula

Least Common Multiple of 31,452 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 31,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,452) = 1

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

GCF(31,452) x common factors =1 x 1 = 1

LCM(31,452) = ( 31 × 452 ) / 1

LCM(31,452) = 14012 / 1

LCM(31,452) = 14012


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FAQs on GCF of Fractions of 974/31, 186/452

1. What is the HCF of 974,186?

The HCF of 974,186 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 974/31, 186/452?

Answer: GCF of Numerators as per given numbers 974/31, 186/452 is

GCF of Numerators i.e. for 974,186 is 2

LCM of denominators i.e. for 31,452 is 14012.

Thus, GCF of Fractions is 2/14012.Finally, GCF of Fractions for 974/31, 186/452 is 2/14012.