How to Find GCF of 990/37, 364/673?

GCF of 990/37, 364/673

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 990/37, 364/673 i.e 2/24901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 990/37, 364/673.

Enter two or more fractions separated by "commas"

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

What is the GCF of 990/37,364/673?

Given fractions are 990/37,364/673

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 990/37,364/673, numerators are 990,364

Denominators are 37,673

The GCF of 990,364 is 2 .

LCM of 37,673 is 24901.

The greatest common factor of 990/37,364/673 = [GCF of 990,364]/[LCM of 37,673]= 2/24901

Therefore, the GCF of 990/37,364/673 is 2/24901.

Greatest Common Factor of 990,364

To find the highest common factor of 990,364, we have to find the factors of both numbers and list the highest common factor.

The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 990,364 is 2.

Lets's calculate GCF of 990,364

Greatest Common Factor (GCF) of 990,364 By Common Division

2	990, 364
	495, 182

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

Greatest Common Factor of 990,364 By Matching Biggest Common Factor Method

Now, list down the factors of 990

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Now, list down the factors of 364

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 990,364 . The biggest common factor number is the GCF number.
So the greatest common factor 990,364 is 2.

Lets's calculate LCM of 37,673

Lowest Common Multiple of 37,673 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24901

Therefore, the GCF of Fractions 990/37,364/673 is 2/24901

Least Common Multiple of 37,673 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,673) = 1

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

GCF(37,673) x common factors =1 x 1 = 1

LCM(37,673) = ( 37 × 673 ) / 1

LCM(37,673) = 24901 / 1

LCM(37,673) = 24901

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FAQs on GCF of Fractions of 990/37, 364/673

1. What is the HCF of 990,364?

The HCF of 990,364 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 990/37, 364/673?

Answer: GCF of Numerators as per given numbers 990/37, 364/673 is

GCF of Numerators i.e. for 990,364 is 2

LCM of denominators i.e. for 37,673 is 24901.

Thus, GCF of Fractions is 2/24901.Finally, GCF of Fractions for 990/37, 364/673 is 2/24901.