How to Find GCF of 5552/812, 4339/8688?

GCF of 5552/812, 4339/8688

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 5552/812, 4339/8688 i.e 1/1763664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5552/812, 4339/8688.

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 5552/812,4339/8688?

Given fractions are 5552/812,4339/8688

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 5552/812,4339/8688, numerators are 5552,4339

Denominators are 812,8688

The GCF of 5552,4339 is 1 .

LCM of 812,8688 is 1763664.

The greatest common factor of 5552/812,4339/8688 = [GCF of 5552,4339]/[LCM of 812,8688]= 1/1763664

Therefore, the GCF of 5552/812,4339/8688 is 1/1763664.

Greatest Common Factor of 5552,4339

To find the highest common factor of 5552,4339, we have to find the factors of both numbers and list the highest common factor.

The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552

The factors of 4339 are 1, 4339

The HCF of 5552,4339 is 1.

Lets's calculate GCF of 5552,4339

Greatest Common Factor (GCF) of 5552,4339 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5552,4339 By Matching Biggest Common Factor Method

Now, list down the factors of 5552

1,2,4,8,16,347,694,1388,2776,5552

Now, list down the factors of 4339

1,4339

Greatest Common Factor

We found the factors 5552,4339 . The biggest common factor number is the GCF number.
So the greatest common factor 5552,4339 is 1.

Lets's calculate LCM of 812,8688

Lowest Common Multiple of 812,8688 using Common Division

2	812, 8688
2	406, 4344
	203, 2172

∴ So the LCM of the given numbers is 2 x 2 x 203 x 2172 = 1763664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1763664

Therefore, the GCF of Fractions 5552/812,4339/8688 is 1/1763664

Least Common Multiple of 812,8688 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 812,8688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,8688) = 4

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

GCF(812,8688) x common factors =4 x 1 = 4

LCM(812,8688) = ( 812 × 8688 ) / 4

LCM(812,8688) = 7054656 / 4

LCM(812,8688) = 1763664

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FAQs on GCF of Fractions of 5552/812, 4339/8688

1. What is the HCF of 5552,4339?

The HCF of 5552,4339 is 1

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 5552/812, 4339/8688?

Answer: GCF of Numerators as per given numbers 5552/812, 4339/8688 is

GCF of Numerators i.e. for 5552,4339 is 1

LCM of denominators i.e. for 812,8688 is 1763664.

Thus, GCF of Fractions is 1/1763664.Finally, GCF of Fractions for 5552/812, 4339/8688 is 1/1763664.