How to Find GCF of 287/72, 918/7122?

GCF of 287/72, 918/7122

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 287/72, 918/7122 i.e 1/85464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 287/72, 918/7122.

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 287/72,918/7122?

Given fractions are 287/72,918/7122

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 287/72,918/7122, numerators are 287,918

Denominators are 72,7122

The GCF of 287,918 is 1 .

LCM of 72,7122 is 85464.

The greatest common factor of 287/72,918/7122 = [GCF of 287,918]/[LCM of 72,7122]= 1/85464

Therefore, the GCF of 287/72,918/7122 is 1/85464.

Greatest Common Factor of 287,918

To find the highest common factor of 287,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 287 are 1, 7, 41, 287

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 287,918 is 1.

Lets's calculate GCF of 287,918

Greatest Common Factor (GCF) of 287,918 By Common Division

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

Greatest Common Factor of 287,918 By Matching Biggest Common Factor Method

Now, list down the factors of 287

1,7,41,287

Now, list down the factors of 918

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 287,918 . The biggest common factor number is the GCF number.
So the greatest common factor 287,918 is 1.

Lets's calculate LCM of 72,7122

Lowest Common Multiple of 72,7122 using Common Division

2	72, 7122
3	36, 3561
	12, 1187

∴ So the LCM of the given numbers is 2 x 3 x 12 x 1187 = 85464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85464

Therefore, the GCF of Fractions 287/72,918/7122 is 1/85464

Least Common Multiple of 72,7122 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 72,7122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,7122) = 6

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

GCF(72,7122) x common factors =6 x 1 = 6

LCM(72,7122) = ( 72 × 7122 ) / 6

LCM(72,7122) = 512784 / 6

LCM(72,7122) = 85464

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FAQs on GCF of Fractions of 287/72, 918/7122

1. What is the HCF of 287,918?

The HCF of 287,918 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 287/72, 918/7122?

Answer: GCF of Numerators as per given numbers 287/72, 918/7122 is

GCF of Numerators i.e. for 287,918 is 1

LCM of denominators i.e. for 72,7122 is 85464.

Thus, GCF of Fractions is 1/85464.Finally, GCF of Fractions for 287/72, 918/7122 is 1/85464.