How to Find GCF of 7283/684, 8297/7442?

GCF of 7283/684, 8297/7442

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 7283/684, 8297/7442 i.e 1/2545164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7283/684, 8297/7442.

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 7283/684,8297/7442?

Given fractions are 7283/684,8297/7442

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 7283/684,8297/7442, numerators are 7283,8297

Denominators are 684,7442

The GCF of 7283,8297 is 1 .

LCM of 684,7442 is 2545164.

The greatest common factor of 7283/684,8297/7442 = [GCF of 7283,8297]/[LCM of 684,7442]= 1/2545164

Therefore, the GCF of 7283/684,8297/7442 is 1/2545164.

Greatest Common Factor of 7283,8297

To find the highest common factor of 7283,8297, we have to find the factors of both numbers and list the highest common factor.

The factors of 7283 are 1, 7283

The factors of 8297 are 1, 8297

The HCF of 7283,8297 is 1.

Lets's calculate GCF of 7283,8297

Greatest Common Factor (GCF) of 7283,8297 By Common Division

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

Greatest Common Factor of 7283,8297 By Matching Biggest Common Factor Method

Now, list down the factors of 7283

1,7283

Now, list down the factors of 8297

1,8297

Greatest Common Factor

We found the factors 7283,8297 . The biggest common factor number is the GCF number.
So the greatest common factor 7283,8297 is 1.

Lets's calculate LCM of 684,7442

Lowest Common Multiple of 684,7442 using Common Division

2	684, 7442
	342, 3721

∴ So the LCM of the given numbers is 2 x 342 x 3721 = 2545164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2545164

Therefore, the GCF of Fractions 7283/684,8297/7442 is 1/2545164

Least Common Multiple of 684,7442 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 684,7442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,7442) = 2

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

GCF(684,7442) x common factors =2 x 1 = 2

LCM(684,7442) = ( 684 × 7442 ) / 2

LCM(684,7442) = 5090328 / 2

LCM(684,7442) = 2545164

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FAQs on GCF of Fractions of 7283/684, 8297/7442

1. What is the HCF of 7283,8297?

The HCF of 7283,8297 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 7283/684, 8297/7442?

Answer: GCF of Numerators as per given numbers 7283/684, 8297/7442 is

GCF of Numerators i.e. for 7283,8297 is 1

LCM of denominators i.e. for 684,7442 is 2545164.

Thus, GCF of Fractions is 1/2545164.Finally, GCF of Fractions for 7283/684, 8297/7442 is 1/2545164.