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GCF of 8136/328, 1110/966

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 8136/328, 1110/966 i.e 6/158424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8136/328, 1110/966.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8136/328,1110/966?

Given fractions are 8136/328,1110/966

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 8136/328,1110/966, numerators are 8136,1110

Denominators are 328,966

The GCF of 8136,1110 is 6 .

LCM of 328,966 is 158424.

The greatest common factor of 8136/328,1110/966 = [GCF of 8136,1110]/[LCM of 328,966]= 6/158424

Therefore, the GCF of 8136/328,1110/966 is 6/158424.

Greatest Common Factor of 8136,1110

To find the highest common factor of 8136,1110, we have to find the factors of both numbers and list the highest common factor.

The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136

The factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110

The HCF of 8136,1110 is 6.

Lets's calculate GCF of 8136,1110

Greatest Common Factor (GCF) of 8136,1110 By Common Division

2 8136, 1110
3 4068, 555
1356, 185

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8136,1110 By Matching Biggest Common Factor Method

Greatest Common Factor of 8136,1110 By Matching Biggest Common Factor Method

Now, list down the factors of 8136

:

1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136

Now, list down the factors of 1110

:

1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110

Greatest Common Factor

We found the factors 8136,1110 . The biggest common factor number is the GCF number.
So the greatest common factor 8136,1110 is 6.


Lets's calculate LCM of 328,966

Lowest Common Multiple of 328,966 using Common Division

2 328, 966
164, 483

∴ So the LCM of the given numbers is 2 x 164 x 483 = 158424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/158424

Therefore, the GCF of Fractions 8136/328,1110/966 is 6/158424

Least Common Multiple of 328,966 with GCF Formula

Least Common Multiple of 328,966 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 328,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,966) = 2

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

GCF(328,966) x common factors =2 x 1 = 2

LCM(328,966) = ( 328 × 966 ) / 2

LCM(328,966) = 316848 / 2

LCM(328,966) = 158424


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8136/328, 1110/966

1. What is the HCF of 8136,1110?

The HCF of 8136,1110 is 6

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 8136/328, 1110/966?

Answer: GCF of Numerators as per given numbers 8136/328, 1110/966 is

GCF of Numerators i.e. for 8136,1110 is 6

LCM of denominators i.e. for 328,966 is 158424.

Thus, GCF of Fractions is 6/158424.Finally, GCF of Fractions for 8136/328, 1110/966 is 6/158424.