How to Find GCF of 9787/928, 3102/5840?

GCF of 9787/928, 3102/5840

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 9787/928, 3102/5840 i.e 1/338720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9787/928, 3102/5840.

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 9787/928,3102/5840?

Given fractions are 9787/928,3102/5840

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 9787/928,3102/5840, numerators are 9787,3102

Denominators are 928,5840

The GCF of 9787,3102 is 1 .

LCM of 928,5840 is 338720.

The greatest common factor of 9787/928,3102/5840 = [GCF of 9787,3102]/[LCM of 928,5840]= 1/338720

Therefore, the GCF of 9787/928,3102/5840 is 1/338720.

Greatest Common Factor of 9787,3102

To find the highest common factor of 9787,3102, we have to find the factors of both numbers and list the highest common factor.

The factors of 9787 are 1, 9787

The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102

The HCF of 9787,3102 is 1.

Lets's calculate GCF of 9787,3102

Greatest Common Factor (GCF) of 9787,3102 By Common Division

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

Greatest Common Factor of 9787,3102 By Matching Biggest Common Factor Method

Now, list down the factors of 9787

1,9787

Now, list down the factors of 3102

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Greatest Common Factor

We found the factors 9787,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 9787,3102 is 1.

Lets's calculate LCM of 928,5840

Lowest Common Multiple of 928,5840 using Common Division

2	928, 5840
2	464, 2920
2	232, 1460
2	116, 730
	58, 365

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 58 x 365 = 338720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338720

Therefore, the GCF of Fractions 9787/928,3102/5840 is 1/338720

Least Common Multiple of 928,5840 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 928,5840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,5840) = 16

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

GCF(928,5840) x common factors =16 x 1 = 16

LCM(928,5840) = ( 928 × 5840 ) / 16

LCM(928,5840) = 5419520 / 16

LCM(928,5840) = 338720

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9787/928, 3102/5840

1. What is the HCF of 9787,3102?

The HCF of 9787,3102 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 9787/928, 3102/5840?

Answer: GCF of Numerators as per given numbers 9787/928, 3102/5840 is

GCF of Numerators i.e. for 9787,3102 is 1

LCM of denominators i.e. for 928,5840 is 338720.

Thus, GCF of Fractions is 1/338720.Finally, GCF of Fractions for 9787/928, 3102/5840 is 1/338720.