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GCF of 583/70, 627/582

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 583/70, 627/582 i.e 11/20370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/70, 627/582.

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 583/70,627/582?

Given fractions are 583/70,627/582

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 583/70,627/582, numerators are 583,627

Denominators are 70,582

The GCF of 583,627 is 11 .

LCM of 70,582 is 20370.

The greatest common factor of 583/70,627/582 = [GCF of 583,627]/[LCM of 70,582]= 11/20370

Therefore, the GCF of 583/70,627/582 is 11/20370.

Greatest Common Factor of 583,627

To find the highest common factor of 583,627, 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 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 583,627 is 11.

Lets's calculate GCF of 583,627

Greatest Common Factor (GCF) of 583,627 By Common Division

11 583, 627
53, 57

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 583,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,627 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 627

:

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 583,627 . The biggest common factor number is the GCF number.
So the greatest common factor 583,627 is 11.

Lets's calculate LCM of 70,582

Lowest Common Multiple of 70,582 using Common Division

2 70, 582
35, 291

∴ So the LCM of the given numbers is 2 x 35 x 291 = 20370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/20370

Therefore, the GCF of Fractions 583/70,627/582 is 11/20370

Least Common Multiple of 70,582 with GCF Formula

Least Common Multiple of 70,582 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 70,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,582) = 2

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

GCF(70,582) x common factors =2 x 1 = 2

LCM(70,582) = ( 70 × 582 ) / 2

LCM(70,582) = 40740 / 2

LCM(70,582) = 20370


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FAQs on GCF of Fractions of 583/70, 627/582

1. What is the HCF of 583,627?

The HCF of 583,627 is 11

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 583/70, 627/582?

Answer: GCF of Numerators as per given numbers 583/70, 627/582 is

GCF of Numerators i.e. for 583,627 is 11

LCM of denominators i.e. for 70,582 is 20370.

Thus, GCF of Fractions is 11/20370.Finally, GCF of Fractions for 583/70, 627/582 is 11/20370.