How to Find GCF of 2733/297, 9509/7333?

GCF of 2733/297, 9509/7333

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 2733/297, 9509/7333 i.e 1/2177901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2733/297, 9509/7333.

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 2733/297,9509/7333?

Given fractions are 2733/297,9509/7333

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 2733/297,9509/7333, numerators are 2733,9509

Denominators are 297,7333

The GCF of 2733,9509 is 1 .

LCM of 297,7333 is 2177901.

The greatest common factor of 2733/297,9509/7333 = [GCF of 2733,9509]/[LCM of 297,7333]= 1/2177901

Therefore, the GCF of 2733/297,9509/7333 is 1/2177901.

Greatest Common Factor of 2733,9509

To find the highest common factor of 2733,9509, we have to find the factors of both numbers and list the highest common factor.

The factors of 2733 are 1, 3, 911, 2733

The factors of 9509 are 1, 37, 257, 9509

The HCF of 2733,9509 is 1.

Lets's calculate GCF of 2733,9509

Greatest Common Factor (GCF) of 2733,9509 By Common Division

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

Greatest Common Factor of 2733,9509 By Matching Biggest Common Factor Method

Now, list down the factors of 2733

1,3,911,2733

Now, list down the factors of 9509

1,37,257,9509

Greatest Common Factor

We found the factors 2733,9509 . The biggest common factor number is the GCF number.
So the greatest common factor 2733,9509 is 1.

Lets's calculate LCM of 297,7333

Lowest Common Multiple of 297,7333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2177901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2177901

Therefore, the GCF of Fractions 2733/297,9509/7333 is 1/2177901

Least Common Multiple of 297,7333 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 297,7333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,7333) = 1

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

GCF(297,7333) x common factors =1 x 1 = 1

LCM(297,7333) = ( 297 × 7333 ) / 1

LCM(297,7333) = 2177901 / 1

LCM(297,7333) = 2177901

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FAQs on GCF of Fractions of 2733/297, 9509/7333

1. What is the HCF of 2733,9509?

The HCF of 2733,9509 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 2733/297, 9509/7333?

Answer: GCF of Numerators as per given numbers 2733/297, 9509/7333 is

GCF of Numerators i.e. for 2733,9509 is 1

LCM of denominators i.e. for 297,7333 is 2177901.

Thus, GCF of Fractions is 1/2177901.Finally, GCF of Fractions for 2733/297, 9509/7333 is 1/2177901.