How to Find GCF of 2282/308, 7317/1731?

GCF of 2282/308, 7317/1731

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 2282/308, 7317/1731 i.e 1/533148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2282/308, 7317/1731.

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 2282/308,7317/1731?

Given fractions are 2282/308,7317/1731

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 2282/308,7317/1731, numerators are 2282,7317

Denominators are 308,1731

The GCF of 2282,7317 is 1 .

LCM of 308,1731 is 533148.

The greatest common factor of 2282/308,7317/1731 = [GCF of 2282,7317]/[LCM of 308,1731]= 1/533148

Therefore, the GCF of 2282/308,7317/1731 is 1/533148.

Greatest Common Factor of 2282,7317

To find the highest common factor of 2282,7317, we have to find the factors of both numbers and list the highest common factor.

The factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282

The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317

The HCF of 2282,7317 is 1.

Lets's calculate GCF of 2282,7317

Greatest Common Factor (GCF) of 2282,7317 By Common Division

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

Greatest Common Factor of 2282,7317 By Matching Biggest Common Factor Method

Now, list down the factors of 2282

1,2,7,14,163,326,1141,2282

Now, list down the factors of 7317

1,3,9,27,271,813,2439,7317

Greatest Common Factor

We found the factors 2282,7317 . The biggest common factor number is the GCF number.
So the greatest common factor 2282,7317 is 1.

Lets's calculate LCM of 308,1731

Lowest Common Multiple of 308,1731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 533148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533148

Therefore, the GCF of Fractions 2282/308,7317/1731 is 1/533148

Least Common Multiple of 308,1731 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 308,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,1731) = 1

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

GCF(308,1731) x common factors =1 x 1 = 1

LCM(308,1731) = ( 308 × 1731 ) / 1

LCM(308,1731) = 533148 / 1

LCM(308,1731) = 533148

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FAQs on GCF of Fractions of 2282/308, 7317/1731

1. What is the HCF of 2282,7317?

The HCF of 2282,7317 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 2282/308, 7317/1731?

Answer: GCF of Numerators as per given numbers 2282/308, 7317/1731 is

GCF of Numerators i.e. for 2282,7317 is 1

LCM of denominators i.e. for 308,1731 is 533148.

Thus, GCF of Fractions is 1/533148.Finally, GCF of Fractions for 2282/308, 7317/1731 is 1/533148.