How to Find GCF of 7294/766, 5093/1319?

GCF of 7294/766, 5093/1319

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 7294/766, 5093/1319 i.e 1/1010354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7294/766, 5093/1319.

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 7294/766,5093/1319?

Given fractions are 7294/766,5093/1319

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 7294/766,5093/1319, numerators are 7294,5093

Denominators are 766,1319

The GCF of 7294,5093 is 1 .

LCM of 766,1319 is 1010354.

The greatest common factor of 7294/766,5093/1319 = [GCF of 7294,5093]/[LCM of 766,1319]= 1/1010354

Therefore, the GCF of 7294/766,5093/1319 is 1/1010354.

Greatest Common Factor of 7294,5093

To find the highest common factor of 7294,5093, we have to find the factors of both numbers and list the highest common factor.

The factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294

The factors of 5093 are 1, 11, 463, 5093

The HCF of 7294,5093 is 1.

Lets's calculate GCF of 7294,5093

Greatest Common Factor (GCF) of 7294,5093 By Common Division

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

Greatest Common Factor of 7294,5093 By Matching Biggest Common Factor Method

Now, list down the factors of 7294

1,2,7,14,521,1042,3647,7294

Now, list down the factors of 5093

1,11,463,5093

Greatest Common Factor

We found the factors 7294,5093 . The biggest common factor number is the GCF number.
So the greatest common factor 7294,5093 is 1.

Lets's calculate LCM of 766,1319

Lowest Common Multiple of 766,1319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1010354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010354

Therefore, the GCF of Fractions 7294/766,5093/1319 is 1/1010354

Least Common Multiple of 766,1319 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 766,1319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,1319) = 1

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

GCF(766,1319) x common factors =1 x 1 = 1

LCM(766,1319) = ( 766 × 1319 ) / 1

LCM(766,1319) = 1010354 / 1

LCM(766,1319) = 1010354

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7294/766, 5093/1319

1. What is the HCF of 7294,5093?

The HCF of 7294,5093 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 7294/766, 5093/1319?

Answer: GCF of Numerators as per given numbers 7294/766, 5093/1319 is

GCF of Numerators i.e. for 7294,5093 is 1

LCM of denominators i.e. for 766,1319 is 1010354.

Thus, GCF of Fractions is 1/1010354.Finally, GCF of Fractions for 7294/766, 5093/1319 is 1/1010354.