How to Find GCF of 8675/912, 4817/9196?

GCF of 8675/912, 4817/9196

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 8675/912, 4817/9196 i.e 1/110352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8675/912, 4817/9196.

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 8675/912,4817/9196?

Given fractions are 8675/912,4817/9196

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 8675/912,4817/9196, numerators are 8675,4817

Denominators are 912,9196

The GCF of 8675,4817 is 1 .

LCM of 912,9196 is 110352.

The greatest common factor of 8675/912,4817/9196 = [GCF of 8675,4817]/[LCM of 912,9196]= 1/110352

Therefore, the GCF of 8675/912,4817/9196 is 1/110352.

Greatest Common Factor of 8675,4817

To find the highest common factor of 8675,4817, we have to find the factors of both numbers and list the highest common factor.

The factors of 8675 are 1, 5, 25, 347, 1735, 8675

The factors of 4817 are 1, 4817

The HCF of 8675,4817 is 1.

Lets's calculate GCF of 8675,4817

Greatest Common Factor (GCF) of 8675,4817 By Common Division

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

Greatest Common Factor of 8675,4817 By Matching Biggest Common Factor Method

Now, list down the factors of 8675

1,5,25,347,1735,8675

Now, list down the factors of 4817

1,4817

Greatest Common Factor

We found the factors 8675,4817 . The biggest common factor number is the GCF number.
So the greatest common factor 8675,4817 is 1.

Lets's calculate LCM of 912,9196

Lowest Common Multiple of 912,9196 using Common Division

2	912, 9196
2	456, 4598
19	228, 2299
	12, 121

∴ So the LCM of the given numbers is 2 x 2 x 19 x 12 x 121 = 110352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110352

Therefore, the GCF of Fractions 8675/912,4817/9196 is 1/110352

Least Common Multiple of 912,9196 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 912,9196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,9196) = 76

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

GCF(912,9196) x common factors =76 x 1 = 76

LCM(912,9196) = ( 912 × 9196 ) / 76

LCM(912,9196) = 8386752 / 76

LCM(912,9196) = 110352

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FAQs on GCF of Fractions of 8675/912, 4817/9196

1. What is the HCF of 8675,4817?

The HCF of 8675,4817 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 8675/912, 4817/9196?

Answer: GCF of Numerators as per given numbers 8675/912, 4817/9196 is

GCF of Numerators i.e. for 8675,4817 is 1

LCM of denominators i.e. for 912,9196 is 110352.

Thus, GCF of Fractions is 1/110352.Finally, GCF of Fractions for 8675/912, 4817/9196 is 1/110352.