How to Find GCF of 1073/277, 7282/9341?

GCF of 1073/277, 7282/9341

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 1073/277, 7282/9341 i.e 1/2587457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1073/277, 7282/9341.

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 1073/277,7282/9341?

Given fractions are 1073/277,7282/9341

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 1073/277,7282/9341, numerators are 1073,7282

Denominators are 277,9341

The GCF of 1073,7282 is 1 .

LCM of 277,9341 is 2587457.

The greatest common factor of 1073/277,7282/9341 = [GCF of 1073,7282]/[LCM of 277,9341]= 1/2587457

Therefore, the GCF of 1073/277,7282/9341 is 1/2587457.

Greatest Common Factor of 1073,7282

To find the highest common factor of 1073,7282, we have to find the factors of both numbers and list the highest common factor.

The factors of 1073 are 1, 29, 37, 1073

The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282

The HCF of 1073,7282 is 1.

Lets's calculate GCF of 1073,7282

Greatest Common Factor (GCF) of 1073,7282 By Common Division

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

Greatest Common Factor of 1073,7282 By Matching Biggest Common Factor Method

Now, list down the factors of 1073

1,29,37,1073

Now, list down the factors of 7282

1,2,11,22,331,662,3641,7282

Greatest Common Factor

We found the factors 1073,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 1073,7282 is 1.

Lets's calculate LCM of 277,9341

Lowest Common Multiple of 277,9341 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2587457

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2587457

Therefore, the GCF of Fractions 1073/277,7282/9341 is 1/2587457

Least Common Multiple of 277,9341 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 277,9341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,9341) = 1

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

GCF(277,9341) x common factors =1 x 1 = 1

LCM(277,9341) = ( 277 × 9341 ) / 1

LCM(277,9341) = 2587457 / 1

LCM(277,9341) = 2587457

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FAQs on GCF of Fractions of 1073/277, 7282/9341

1. What is the HCF of 1073,7282?

The HCF of 1073,7282 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 1073/277, 7282/9341?

Answer: GCF of Numerators as per given numbers 1073/277, 7282/9341 is

GCF of Numerators i.e. for 1073,7282 is 1

LCM of denominators i.e. for 277,9341 is 2587457.

Thus, GCF of Fractions is 1/2587457.Finally, GCF of Fractions for 1073/277, 7282/9341 is 1/2587457.