How to Find GCF of 2251/255, 6994/9255?

GCF of 2251/255, 6994/9255

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 2251/255, 6994/9255 i.e 1/157335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2251/255, 6994/9255.

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 2251/255,6994/9255?

Given fractions are 2251/255,6994/9255

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 2251/255,6994/9255, numerators are 2251,6994

Denominators are 255,9255

The GCF of 2251,6994 is 1 .

LCM of 255,9255 is 157335.

The greatest common factor of 2251/255,6994/9255 = [GCF of 2251,6994]/[LCM of 255,9255]= 1/157335

Therefore, the GCF of 2251/255,6994/9255 is 1/157335.

Greatest Common Factor of 2251,6994

To find the highest common factor of 2251,6994, we have to find the factors of both numbers and list the highest common factor.

The factors of 2251 are 1, 2251

The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994

The HCF of 2251,6994 is 1.

Lets's calculate GCF of 2251,6994

Greatest Common Factor (GCF) of 2251,6994 By Common Division

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

Greatest Common Factor of 2251,6994 By Matching Biggest Common Factor Method

Now, list down the factors of 2251

1,2251

Now, list down the factors of 6994

1,2,13,26,269,538,3497,6994

Greatest Common Factor

We found the factors 2251,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 2251,6994 is 1.

Lets's calculate LCM of 255,9255

Lowest Common Multiple of 255,9255 using Common Division

3	255, 9255
5	85, 3085
	17, 617

∴ So the LCM of the given numbers is 3 x 5 x 17 x 617 = 157335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157335

Therefore, the GCF of Fractions 2251/255,6994/9255 is 1/157335

Least Common Multiple of 255,9255 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 255,9255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,9255) = 15

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

GCF(255,9255) x common factors =15 x 1 = 15

LCM(255,9255) = ( 255 × 9255 ) / 15

LCM(255,9255) = 2360025 / 15

LCM(255,9255) = 157335

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FAQs on GCF of Fractions of 2251/255, 6994/9255

1. What is the HCF of 2251,6994?

The HCF of 2251,6994 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 2251/255, 6994/9255?

Answer: GCF of Numerators as per given numbers 2251/255, 6994/9255 is

GCF of Numerators i.e. for 2251,6994 is 1

LCM of denominators i.e. for 255,9255 is 157335.

Thus, GCF of Fractions is 1/157335.Finally, GCF of Fractions for 2251/255, 6994/9255 is 1/157335.