How to Find GCF of 9888/786, 9157/8620?

GCF of 9888/786, 9157/8620

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 9888/786, 9157/8620 i.e 1/3387660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9888/786, 9157/8620.

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 9888/786,9157/8620?

Given fractions are 9888/786,9157/8620

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 9888/786,9157/8620, numerators are 9888,9157

Denominators are 786,8620

The GCF of 9888,9157 is 1 .

LCM of 786,8620 is 3387660.

The greatest common factor of 9888/786,9157/8620 = [GCF of 9888,9157]/[LCM of 786,8620]= 1/3387660

Therefore, the GCF of 9888/786,9157/8620 is 1/3387660.

Greatest Common Factor of 9888,9157

To find the highest common factor of 9888,9157, we have to find the factors of both numbers and list the highest common factor.

The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888

The factors of 9157 are 1, 9157

The HCF of 9888,9157 is 1.

Lets's calculate GCF of 9888,9157

Greatest Common Factor (GCF) of 9888,9157 By Common Division

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

Greatest Common Factor of 9888,9157 By Matching Biggest Common Factor Method

Now, list down the factors of 9888

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Now, list down the factors of 9157

1,9157

Greatest Common Factor

We found the factors 9888,9157 . The biggest common factor number is the GCF number.
So the greatest common factor 9888,9157 is 1.

Lets's calculate LCM of 786,8620

Lowest Common Multiple of 786,8620 using Common Division

2	786, 8620
	393, 4310

∴ So the LCM of the given numbers is 2 x 393 x 4310 = 3387660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3387660

Therefore, the GCF of Fractions 9888/786,9157/8620 is 1/3387660

Least Common Multiple of 786,8620 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 786,8620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,8620) = 2

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

GCF(786,8620) x common factors =2 x 1 = 2

LCM(786,8620) = ( 786 × 8620 ) / 2

LCM(786,8620) = 6775320 / 2

LCM(786,8620) = 3387660

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9888/786, 9157/8620

1. What is the HCF of 9888,9157?

The HCF of 9888,9157 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 9888/786, 9157/8620?

Answer: GCF of Numerators as per given numbers 9888/786, 9157/8620 is

GCF of Numerators i.e. for 9888,9157 is 1

LCM of denominators i.e. for 786,8620 is 3387660.

Thus, GCF of Fractions is 1/3387660.Finally, GCF of Fractions for 9888/786, 9157/8620 is 1/3387660.