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GCF of 579/974, 9293/567

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 579/974, 9293/567 i.e 1/552258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/974, 9293/567.

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 579/974,9293/567?

Given fractions are 579/974,9293/567

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 579/974,9293/567, numerators are 579,9293

Denominators are 974,567

The GCF of 579,9293 is 1 .

LCM of 974,567 is 552258.

The greatest common factor of 579/974,9293/567 = [GCF of 579,9293]/[LCM of 974,567]= 1/552258

Therefore, the GCF of 579/974,9293/567 is 1/552258.

Greatest Common Factor of 579,9293

To find the highest common factor of 579,9293, we have to find the factors of both numbers and list the highest common factor.

The factors of 579 are 1, 3, 193, 579

The factors of 9293 are 1, 9293

The HCF of 579,9293 is 1.

Lets's calculate GCF of 579,9293

Greatest Common Factor (GCF) of 579,9293 By Common Division

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

Greatest Common Factor of 579,9293 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,9293 By Matching Biggest Common Factor Method

Now, list down the factors of 579

:

1,3,193,579

Now, list down the factors of 9293

:

1,9293

Greatest Common Factor

We found the factors 579,9293 . The biggest common factor number is the GCF number.
So the greatest common factor 579,9293 is 1.

Lets's calculate LCM of 974,567

Lowest Common Multiple of 974,567 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 552258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552258

Therefore, the GCF of Fractions 579/974,9293/567 is 1/552258

Least Common Multiple of 974,567 with GCF Formula

Least Common Multiple of 974,567 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 974,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,567) = 1

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

GCF(974,567) x common factors =1 x 1 = 1

LCM(974,567) = ( 974 × 567 ) / 1

LCM(974,567) = 552258 / 1

LCM(974,567) = 552258


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FAQs on GCF of Fractions of 579/974, 9293/567

1. What is the HCF of 579,9293?

The HCF of 579,9293 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 579/974, 9293/567?

Answer: GCF of Numerators as per given numbers 579/974, 9293/567 is

GCF of Numerators i.e. for 579,9293 is 1

LCM of denominators i.e. for 974,567 is 552258.

Thus, GCF of Fractions is 1/552258.Finally, GCF of Fractions for 579/974, 9293/567 is 1/552258.