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GCF of 583/472, 1065/8258

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 583/472, 1065/8258 i.e 1/1948888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/472, 1065/8258.

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 583/472,1065/8258?

Given fractions are 583/472,1065/8258

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 583/472,1065/8258, numerators are 583,1065

Denominators are 472,8258

The GCF of 583,1065 is 1 .

LCM of 472,8258 is 1948888.

The greatest common factor of 583/472,1065/8258 = [GCF of 583,1065]/[LCM of 472,8258]= 1/1948888

Therefore, the GCF of 583/472,1065/8258 is 1/1948888.

Greatest Common Factor of 583,1065

To find the highest common factor of 583,1065, we have to find the factors of both numbers and list the highest common factor.

The factors of 583 are 1, 11, 53, 583

The factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065

The HCF of 583,1065 is 1.

Lets's calculate GCF of 583,1065

Greatest Common Factor (GCF) of 583,1065 By Common Division

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

Greatest Common Factor of 583,1065 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,1065 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 1065

:

1,3,5,15,71,213,355,1065

Greatest Common Factor

We found the factors 583,1065 . The biggest common factor number is the GCF number.
So the greatest common factor 583,1065 is 1.

Lets's calculate LCM of 472,8258

Lowest Common Multiple of 472,8258 using Common Division

2 472, 8258
236, 4129

∴ So the LCM of the given numbers is 2 x 236 x 4129 = 1948888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1948888

Therefore, the GCF of Fractions 583/472,1065/8258 is 1/1948888

Least Common Multiple of 472,8258 with GCF Formula

Least Common Multiple of 472,8258 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 472,8258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,8258) = 2

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

GCF(472,8258) x common factors =2 x 1 = 2

LCM(472,8258) = ( 472 × 8258 ) / 2

LCM(472,8258) = 3897776 / 2

LCM(472,8258) = 1948888


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FAQs on GCF of Fractions of 583/472, 1065/8258

1. What is the HCF of 583,1065?

The HCF of 583,1065 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 583/472, 1065/8258?

Answer: GCF of Numerators as per given numbers 583/472, 1065/8258 is

GCF of Numerators i.e. for 583,1065 is 1

LCM of denominators i.e. for 472,8258 is 1948888.

Thus, GCF of Fractions is 1/1948888.Finally, GCF of Fractions for 583/472, 1065/8258 is 1/1948888.