How to Find GCF of 1264/871, 2376/8994?

GCF of 1264/871, 2376/8994

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 1264/871, 2376/8994 i.e 8/7833774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1264/871, 2376/8994.

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 1264/871,2376/8994?

Given fractions are 1264/871,2376/8994

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 1264/871,2376/8994, numerators are 1264,2376

Denominators are 871,8994

The GCF of 1264,2376 is 8 .

LCM of 871,8994 is 7833774.

The greatest common factor of 1264/871,2376/8994 = [GCF of 1264,2376]/[LCM of 871,8994]= 8/7833774

Therefore, the GCF of 1264/871,2376/8994 is 8/7833774.

Greatest Common Factor of 1264,2376

To find the highest common factor of 1264,2376, we have to find the factors of both numbers and list the highest common factor.

The factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264

The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376

The HCF of 1264,2376 is 8.

Lets's calculate GCF of 1264,2376

Greatest Common Factor (GCF) of 1264,2376 By Common Division

2	1264, 2376
2	632, 1188
2	316, 594
	158, 297

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1264,2376 By Matching Biggest Common Factor Method

Now, list down the factors of 1264

1,2,4,8,16,79,158,316,632,1264

Now, list down the factors of 2376

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376

Greatest Common Factor

We found the factors 1264,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 1264,2376 is 8.

Lets's calculate LCM of 871,8994

Lowest Common Multiple of 871,8994 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7833774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7833774

Therefore, the GCF of Fractions 1264/871,2376/8994 is 8/7833774

Least Common Multiple of 871,8994 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 871,8994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,8994) = 1

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

GCF(871,8994) x common factors =1 x 1 = 1

LCM(871,8994) = ( 871 × 8994 ) / 1

LCM(871,8994) = 7833774 / 1

LCM(871,8994) = 7833774

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FAQs on GCF of Fractions of 1264/871, 2376/8994

1. What is the HCF of 1264,2376?

The HCF of 1264,2376 is 8

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 1264/871, 2376/8994?

Answer: GCF of Numerators as per given numbers 1264/871, 2376/8994 is

GCF of Numerators i.e. for 1264,2376 is 8

LCM of denominators i.e. for 871,8994 is 7833774.

Thus, GCF of Fractions is 8/7833774.Finally, GCF of Fractions for 1264/871, 2376/8994 is 8/7833774.