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GCF of 7039/522, 8313/302

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 7039/522, 8313/302 i.e 1/78822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7039/522, 8313/302.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7039/522,8313/302?

Given fractions are 7039/522,8313/302

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 7039/522,8313/302, numerators are 7039,8313

Denominators are 522,302

The GCF of 7039,8313 is 1 .

LCM of 522,302 is 78822.

The greatest common factor of 7039/522,8313/302 = [GCF of 7039,8313]/[LCM of 522,302]= 1/78822

Therefore, the GCF of 7039/522,8313/302 is 1/78822.

Greatest Common Factor of 7039,8313

To find the highest common factor of 7039,8313, we have to find the factors of both numbers and list the highest common factor.

The factors of 7039 are 1, 7039

The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313

The HCF of 7039,8313 is 1.

Lets's calculate GCF of 7039,8313

Greatest Common Factor (GCF) of 7039,8313 By Common Division

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

Greatest Common Factor of 7039,8313 By Matching Biggest Common Factor Method

Greatest Common Factor of 7039,8313 By Matching Biggest Common Factor Method

Now, list down the factors of 7039

:

1,7039

Now, list down the factors of 8313

:

1,3,17,51,163,489,2771,8313

Greatest Common Factor

We found the factors 7039,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 7039,8313 is 1.

Lets's calculate LCM of 522,302

Lowest Common Multiple of 522,302 using Common Division

2 522, 302
261, 151

∴ So the LCM of the given numbers is 2 x 261 x 151 = 78822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78822

Therefore, the GCF of Fractions 7039/522,8313/302 is 1/78822

Least Common Multiple of 522,302 with GCF Formula

Least Common Multiple of 522,302 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 522,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,302) = 2

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

GCF(522,302) x common factors =2 x 1 = 2

LCM(522,302) = ( 522 × 302 ) / 2

LCM(522,302) = 157644 / 2

LCM(522,302) = 78822


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FAQs on GCF of Fractions of 7039/522, 8313/302

1. What is the HCF of 7039,8313?

The HCF of 7039,8313 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 7039/522, 8313/302?

Answer: GCF of Numerators as per given numbers 7039/522, 8313/302 is

GCF of Numerators i.e. for 7039,8313 is 1

LCM of denominators i.e. for 522,302 is 78822.

Thus, GCF of Fractions is 1/78822.Finally, GCF of Fractions for 7039/522, 8313/302 is 1/78822.