How to Find GCF of 1377/604, 8822/8616?

GCF of 1377/604, 8822/8616

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 1377/604, 8822/8616 i.e 1/1301016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1377/604, 8822/8616.

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 1377/604,8822/8616?

Given fractions are 1377/604,8822/8616

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 1377/604,8822/8616, numerators are 1377,8822

Denominators are 604,8616

The GCF of 1377,8822 is 1 .

LCM of 604,8616 is 1301016.

The greatest common factor of 1377/604,8822/8616 = [GCF of 1377,8822]/[LCM of 604,8616]= 1/1301016

Therefore, the GCF of 1377/604,8822/8616 is 1/1301016.

Greatest Common Factor of 1377,8822

To find the highest common factor of 1377,8822, we have to find the factors of both numbers and list the highest common factor.

The factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377

The factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822

The HCF of 1377,8822 is 1.

Lets's calculate GCF of 1377,8822

Greatest Common Factor (GCF) of 1377,8822 By Common Division

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

Greatest Common Factor of 1377,8822 By Matching Biggest Common Factor Method

Now, list down the factors of 1377

1,3,9,17,27,51,81,153,459,1377

Now, list down the factors of 8822

1,2,11,22,401,802,4411,8822

Greatest Common Factor

We found the factors 1377,8822 . The biggest common factor number is the GCF number.
So the greatest common factor 1377,8822 is 1.

Lets's calculate LCM of 604,8616

Lowest Common Multiple of 604,8616 using Common Division

2	604, 8616
2	302, 4308
	151, 2154

∴ So the LCM of the given numbers is 2 x 2 x 151 x 2154 = 1301016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301016

Therefore, the GCF of Fractions 1377/604,8822/8616 is 1/1301016

Least Common Multiple of 604,8616 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 604,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,8616) = 4

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

GCF(604,8616) x common factors =4 x 1 = 4

LCM(604,8616) = ( 604 × 8616 ) / 4

LCM(604,8616) = 5204064 / 4

LCM(604,8616) = 1301016

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FAQs on GCF of Fractions of 1377/604, 8822/8616

1. What is the HCF of 1377,8822?

The HCF of 1377,8822 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 1377/604, 8822/8616?

Answer: GCF of Numerators as per given numbers 1377/604, 8822/8616 is

GCF of Numerators i.e. for 1377,8822 is 1

LCM of denominators i.e. for 604,8616 is 1301016.

Thus, GCF of Fractions is 1/1301016.Finally, GCF of Fractions for 1377/604, 8822/8616 is 1/1301016.