How to Find GCF of 5770/481, 6444/500?

GCF of 5770/481, 6444/500

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 5770/481, 6444/500 i.e 2/240500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5770/481, 6444/500.

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 5770/481,6444/500?

Given fractions are 5770/481,6444/500

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 5770/481,6444/500, numerators are 5770,6444

Denominators are 481,500

The GCF of 5770,6444 is 2 .

LCM of 481,500 is 240500.

The greatest common factor of 5770/481,6444/500 = [GCF of 5770,6444]/[LCM of 481,500]= 2/240500

Therefore, the GCF of 5770/481,6444/500 is 2/240500.

Greatest Common Factor of 5770,6444

To find the highest common factor of 5770,6444, we have to find the factors of both numbers and list the highest common factor.

The factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770

The factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444

The HCF of 5770,6444 is 2.

Lets's calculate GCF of 5770,6444

Greatest Common Factor (GCF) of 5770,6444 By Common Division

2	5770, 6444
	2885, 3222

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

Greatest Common Factor of 5770,6444 By Matching Biggest Common Factor Method

Now, list down the factors of 5770

1,2,5,10,577,1154,2885,5770

Now, list down the factors of 6444

1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444

Greatest Common Factor

We found the factors 5770,6444 . The biggest common factor number is the GCF number.
So the greatest common factor 5770,6444 is 2.

Lets's calculate LCM of 481,500

Lowest Common Multiple of 481,500 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 240500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240500

Therefore, the GCF of Fractions 5770/481,6444/500 is 2/240500

Least Common Multiple of 481,500 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 481,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,500) = 1

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

GCF(481,500) x common factors =1 x 1 = 1

LCM(481,500) = ( 481 × 500 ) / 1

LCM(481,500) = 240500 / 1

LCM(481,500) = 240500

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FAQs on GCF of Fractions of 5770/481, 6444/500

1. What is the HCF of 5770,6444?

The HCF of 5770,6444 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 5770/481, 6444/500?

Answer: GCF of Numerators as per given numbers 5770/481, 6444/500 is

GCF of Numerators i.e. for 5770,6444 is 2

LCM of denominators i.e. for 481,500 is 240500.

Thus, GCF of Fractions is 2/240500.Finally, GCF of Fractions for 5770/481, 6444/500 is 2/240500.