How to Find GCF of 4402/435, 7216/5813?

GCF of 4402/435, 7216/5813

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 4402/435, 7216/5813 i.e 2/2528655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4402/435, 7216/5813.

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 4402/435,7216/5813?

Given fractions are 4402/435,7216/5813

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 4402/435,7216/5813, numerators are 4402,7216

Denominators are 435,5813

The GCF of 4402,7216 is 2 .

LCM of 435,5813 is 2528655.

The greatest common factor of 4402/435,7216/5813 = [GCF of 4402,7216]/[LCM of 435,5813]= 2/2528655

Therefore, the GCF of 4402/435,7216/5813 is 2/2528655.

Greatest Common Factor of 4402,7216

To find the highest common factor of 4402,7216, we have to find the factors of both numbers and list the highest common factor.

The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402

The factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216

The HCF of 4402,7216 is 2.

Lets's calculate GCF of 4402,7216

Greatest Common Factor (GCF) of 4402,7216 By Common Division

2	4402, 7216
	2201, 3608

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

Greatest Common Factor of 4402,7216 By Matching Biggest Common Factor Method

Now, list down the factors of 4402

1,2,31,62,71,142,2201,4402

Now, list down the factors of 7216

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Greatest Common Factor

We found the factors 4402,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 4402,7216 is 2.

Lets's calculate LCM of 435,5813

Lowest Common Multiple of 435,5813 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2528655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2528655

Therefore, the GCF of Fractions 4402/435,7216/5813 is 2/2528655

Least Common Multiple of 435,5813 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 435,5813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,5813) = 1

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

GCF(435,5813) x common factors =1 x 1 = 1

LCM(435,5813) = ( 435 × 5813 ) / 1

LCM(435,5813) = 2528655 / 1

LCM(435,5813) = 2528655

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FAQs on GCF of Fractions of 4402/435, 7216/5813

1. What is the HCF of 4402,7216?

The HCF of 4402,7216 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 4402/435, 7216/5813?

Answer: GCF of Numerators as per given numbers 4402/435, 7216/5813 is

GCF of Numerators i.e. for 4402,7216 is 2

LCM of denominators i.e. for 435,5813 is 2528655.

Thus, GCF of Fractions is 2/2528655.Finally, GCF of Fractions for 4402/435, 7216/5813 is 2/2528655.