How to Find GCF of 1976/888, 9369/2288?

GCF of 1976/888, 9369/2288

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 1976/888, 9369/2288 i.e 1/253968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1976/888, 9369/2288.

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 1976/888,9369/2288?

Given fractions are 1976/888,9369/2288

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 1976/888,9369/2288, numerators are 1976,9369

Denominators are 888,2288

The GCF of 1976,9369 is 1 .

LCM of 888,2288 is 253968.

The greatest common factor of 1976/888,9369/2288 = [GCF of 1976,9369]/[LCM of 888,2288]= 1/253968

Therefore, the GCF of 1976/888,9369/2288 is 1/253968.

Greatest Common Factor of 1976,9369

To find the highest common factor of 1976,9369, we have to find the factors of both numbers and list the highest common factor.

The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976

The factors of 9369 are 1, 3, 9, 27, 347, 1041, 3123, 9369

The HCF of 1976,9369 is 1.

Lets's calculate GCF of 1976,9369

Greatest Common Factor (GCF) of 1976,9369 By Common Division

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

Greatest Common Factor of 1976,9369 By Matching Biggest Common Factor Method

Now, list down the factors of 1976

1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976

Now, list down the factors of 9369

1,3,9,27,347,1041,3123,9369

Greatest Common Factor

We found the factors 1976,9369 . The biggest common factor number is the GCF number.
So the greatest common factor 1976,9369 is 1.

Lets's calculate LCM of 888,2288

Lowest Common Multiple of 888,2288 using Common Division

2	888, 2288
2	444, 1144
2	222, 572
	111, 286

∴ So the LCM of the given numbers is 2 x 2 x 2 x 111 x 286 = 253968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253968

Therefore, the GCF of Fractions 1976/888,9369/2288 is 1/253968

Least Common Multiple of 888,2288 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 888,2288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,2288) = 8

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

GCF(888,2288) x common factors =8 x 1 = 8

LCM(888,2288) = ( 888 × 2288 ) / 8

LCM(888,2288) = 2031744 / 8

LCM(888,2288) = 253968

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1976/888, 9369/2288

1. What is the HCF of 1976,9369?

The HCF of 1976,9369 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 1976/888, 9369/2288?

Answer: GCF of Numerators as per given numbers 1976/888, 9369/2288 is

GCF of Numerators i.e. for 1976,9369 is 1

LCM of denominators i.e. for 888,2288 is 253968.

Thus, GCF of Fractions is 1/253968.Finally, GCF of Fractions for 1976/888, 9369/2288 is 1/253968.