How to Find GCF of 1644/990, 4636/3149?

GCF of 1644/990, 4636/3149

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 1644/990, 4636/3149 i.e 4/3117510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1644/990, 4636/3149.

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 1644/990,4636/3149?

Given fractions are 1644/990,4636/3149

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 1644/990,4636/3149, numerators are 1644,4636

Denominators are 990,3149

The GCF of 1644,4636 is 4 .

LCM of 990,3149 is 3117510.

The greatest common factor of 1644/990,4636/3149 = [GCF of 1644,4636]/[LCM of 990,3149]= 4/3117510

Therefore, the GCF of 1644/990,4636/3149 is 4/3117510.

Greatest Common Factor of 1644,4636

To find the highest common factor of 1644,4636, we have to find the factors of both numbers and list the highest common factor.

The factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644

The factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636

The HCF of 1644,4636 is 4.

Lets's calculate GCF of 1644,4636

Greatest Common Factor (GCF) of 1644,4636 By Common Division

2	1644, 4636
2	822, 2318
	411, 1159

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

Greatest Common Factor of 1644,4636 By Matching Biggest Common Factor Method

Now, list down the factors of 1644

1,2,3,4,6,12,137,274,411,548,822,1644

Now, list down the factors of 4636

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 1644,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 1644,4636 is 4.

Lets's calculate LCM of 990,3149

Lowest Common Multiple of 990,3149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3117510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3117510

Therefore, the GCF of Fractions 1644/990,4636/3149 is 4/3117510

Least Common Multiple of 990,3149 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 990,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,3149) = 1

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

GCF(990,3149) x common factors =1 x 1 = 1

LCM(990,3149) = ( 990 × 3149 ) / 1

LCM(990,3149) = 3117510 / 1

LCM(990,3149) = 3117510

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FAQs on GCF of Fractions of 1644/990, 4636/3149

1. What is the HCF of 1644,4636?

The HCF of 1644,4636 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 1644/990, 4636/3149?

Answer: GCF of Numerators as per given numbers 1644/990, 4636/3149 is

GCF of Numerators i.e. for 1644,4636 is 4

LCM of denominators i.e. for 990,3149 is 3117510.

Thus, GCF of Fractions is 4/3117510.Finally, GCF of Fractions for 1644/990, 4636/3149 is 4/3117510.