How to Find GCF of 4994/404, 5572/162?

GCF of 4994/404, 5572/162

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 4994/404, 5572/162 i.e 2/32724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4994/404, 5572/162.

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 4994/404,5572/162?

Given fractions are 4994/404,5572/162

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 4994/404,5572/162, numerators are 4994,5572

Denominators are 404,162

The GCF of 4994,5572 is 2 .

LCM of 404,162 is 32724.

The greatest common factor of 4994/404,5572/162 = [GCF of 4994,5572]/[LCM of 404,162]= 2/32724

Therefore, the GCF of 4994/404,5572/162 is 2/32724.

Greatest Common Factor of 4994,5572

To find the highest common factor of 4994,5572, we have to find the factors of both numbers and list the highest common factor.

The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994

The factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572

The HCF of 4994,5572 is 2.

Lets's calculate GCF of 4994,5572

Greatest Common Factor (GCF) of 4994,5572 By Common Division

2	4994, 5572
	2497, 2786

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

Greatest Common Factor of 4994,5572 By Matching Biggest Common Factor Method

Now, list down the factors of 4994

1,2,11,22,227,454,2497,4994

Now, list down the factors of 5572

1,2,4,7,14,28,199,398,796,1393,2786,5572

Greatest Common Factor

We found the factors 4994,5572 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,5572 is 2.

Lets's calculate LCM of 404,162

Lowest Common Multiple of 404,162 using Common Division

2	404, 162
	202, 81

∴ So the LCM of the given numbers is 2 x 202 x 81 = 32724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32724

Therefore, the GCF of Fractions 4994/404,5572/162 is 2/32724

Least Common Multiple of 404,162 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 404,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,162) = 2

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

GCF(404,162) x common factors =2 x 1 = 2

LCM(404,162) = ( 404 × 162 ) / 2

LCM(404,162) = 65448 / 2

LCM(404,162) = 32724

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FAQs on GCF of Fractions of 4994/404, 5572/162

1. What is the HCF of 4994,5572?

The HCF of 4994,5572 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 4994/404, 5572/162?

Answer: GCF of Numerators as per given numbers 4994/404, 5572/162 is

GCF of Numerators i.e. for 4994,5572 is 2

LCM of denominators i.e. for 404,162 is 32724.

Thus, GCF of Fractions is 2/32724.Finally, GCF of Fractions for 4994/404, 5572/162 is 2/32724.