How to Find GCF of 9001/242, 7365/1818?

GCF of 9001/242, 7365/1818

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 9001/242, 7365/1818 i.e 1/219978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9001/242, 7365/1818.

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 9001/242,7365/1818?

Given fractions are 9001/242,7365/1818

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 9001/242,7365/1818, numerators are 9001,7365

Denominators are 242,1818

The GCF of 9001,7365 is 1 .

LCM of 242,1818 is 219978.

The greatest common factor of 9001/242,7365/1818 = [GCF of 9001,7365]/[LCM of 242,1818]= 1/219978

Therefore, the GCF of 9001/242,7365/1818 is 1/219978.

Greatest Common Factor of 9001,7365

To find the highest common factor of 9001,7365, we have to find the factors of both numbers and list the highest common factor.

The factors of 9001 are 1, 9001

The factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365

The HCF of 9001,7365 is 1.

Lets's calculate GCF of 9001,7365

Greatest Common Factor (GCF) of 9001,7365 By Common Division

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

Greatest Common Factor of 9001,7365 By Matching Biggest Common Factor Method

Now, list down the factors of 9001

1,9001

Now, list down the factors of 7365

1,3,5,15,491,1473,2455,7365

Greatest Common Factor

We found the factors 9001,7365 . The biggest common factor number is the GCF number.
So the greatest common factor 9001,7365 is 1.

Lets's calculate LCM of 242,1818

Lowest Common Multiple of 242,1818 using Common Division

2	242, 1818
	121, 909

∴ So the LCM of the given numbers is 2 x 121 x 909 = 219978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219978

Therefore, the GCF of Fractions 9001/242,7365/1818 is 1/219978

Least Common Multiple of 242,1818 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 242,1818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,1818) = 2

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

GCF(242,1818) x common factors =2 x 1 = 2

LCM(242,1818) = ( 242 × 1818 ) / 2

LCM(242,1818) = 439956 / 2

LCM(242,1818) = 219978

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FAQs on GCF of Fractions of 9001/242, 7365/1818

1. What is the HCF of 9001,7365?

The HCF of 9001,7365 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 9001/242, 7365/1818?

Answer: GCF of Numerators as per given numbers 9001/242, 7365/1818 is

GCF of Numerators i.e. for 9001,7365 is 1

LCM of denominators i.e. for 242,1818 is 219978.

Thus, GCF of Fractions is 1/219978.Finally, GCF of Fractions for 9001/242, 7365/1818 is 1/219978.