How to Find GCF of 2903/755, 6394/7288?

GCF of 2903/755, 6394/7288

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 2903/755, 6394/7288 i.e 1/5502440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2903/755, 6394/7288.

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 2903/755,6394/7288?

Given fractions are 2903/755,6394/7288

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 2903/755,6394/7288, numerators are 2903,6394

Denominators are 755,7288

The GCF of 2903,6394 is 1 .

LCM of 755,7288 is 5502440.

The greatest common factor of 2903/755,6394/7288 = [GCF of 2903,6394]/[LCM of 755,7288]= 1/5502440

Therefore, the GCF of 2903/755,6394/7288 is 1/5502440.

Greatest Common Factor of 2903,6394

To find the highest common factor of 2903,6394, we have to find the factors of both numbers and list the highest common factor.

The factors of 2903 are 1, 2903

The factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394

The HCF of 2903,6394 is 1.

Lets's calculate GCF of 2903,6394

Greatest Common Factor (GCF) of 2903,6394 By Common Division

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

Greatest Common Factor of 2903,6394 By Matching Biggest Common Factor Method

Now, list down the factors of 2903

1,2903

Now, list down the factors of 6394

1,2,23,46,139,278,3197,6394

Greatest Common Factor

We found the factors 2903,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 2903,6394 is 1.

Lets's calculate LCM of 755,7288

Lowest Common Multiple of 755,7288 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5502440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5502440

Therefore, the GCF of Fractions 2903/755,6394/7288 is 1/5502440

Least Common Multiple of 755,7288 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 755,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,7288) = 1

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

GCF(755,7288) x common factors =1 x 1 = 1

LCM(755,7288) = ( 755 × 7288 ) / 1

LCM(755,7288) = 5502440 / 1

LCM(755,7288) = 5502440

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FAQs on GCF of Fractions of 2903/755, 6394/7288

1. What is the HCF of 2903,6394?

The HCF of 2903,6394 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 2903/755, 6394/7288?

Answer: GCF of Numerators as per given numbers 2903/755, 6394/7288 is

GCF of Numerators i.e. for 2903,6394 is 1

LCM of denominators i.e. for 755,7288 is 5502440.

Thus, GCF of Fractions is 1/5502440.Finally, GCF of Fractions for 2903/755, 6394/7288 is 1/5502440.