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GCF of 586/88, 667/220

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 586/88, 667/220 i.e 1/440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 586/88, 667/220.

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 586/88,667/220?

Given fractions are 586/88,667/220

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 586/88,667/220, numerators are 586,667

Denominators are 88,220

The GCF of 586,667 is 1 .

LCM of 88,220 is 440.

The greatest common factor of 586/88,667/220 = [GCF of 586,667]/[LCM of 88,220]= 1/440

Therefore, the GCF of 586/88,667/220 is 1/440.

Greatest Common Factor of 586,667

To find the highest common factor of 586,667, we have to find the factors of both numbers and list the highest common factor.

The factors of 586 are 1, 2, 293, 586

The factors of 667 are 1, 23, 29, 667

The HCF of 586,667 is 1.

Lets's calculate GCF of 586,667

Greatest Common Factor (GCF) of 586,667 By Common Division

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

Greatest Common Factor of 586,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,667 By Matching Biggest Common Factor Method

Now, list down the factors of 586

:

1,2,293,586

Now, list down the factors of 667

:

1,23,29,667

Greatest Common Factor

We found the factors 586,667 . The biggest common factor number is the GCF number.
So the greatest common factor 586,667 is 1.

Lets's calculate LCM of 88,220

Lowest Common Multiple of 88,220 using Common Division

2 88, 220
2 44, 110
11 22, 55
2, 5

∴ So the LCM of the given numbers is 2 x 2 x 11 x 2 x 5 = 440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440

Therefore, the GCF of Fractions 586/88,667/220 is 1/440

Least Common Multiple of 88,220 with GCF Formula

Least Common Multiple of 88,220 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 88,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,220) = 44

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

GCF(88,220) x common factors =44 x 1 = 44

LCM(88,220) = ( 88 × 220 ) / 44

LCM(88,220) = 19360 / 44

LCM(88,220) = 440


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FAQs on GCF of Fractions of 586/88, 667/220

1. What is the HCF of 586,667?

The HCF of 586,667 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 586/88, 667/220?

Answer: GCF of Numerators as per given numbers 586/88, 667/220 is

GCF of Numerators i.e. for 586,667 is 1

LCM of denominators i.e. for 88,220 is 440.

Thus, GCF of Fractions is 1/440.Finally, GCF of Fractions for 586/88, 667/220 is 1/440.