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GCF of 582/669, 1069/892

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 582/669, 1069/892 i.e 1/2676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/669, 1069/892.

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 582/669,1069/892?

Given fractions are 582/669,1069/892

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 582/669,1069/892, numerators are 582,1069

Denominators are 669,892

The GCF of 582,1069 is 1 .

LCM of 669,892 is 2676.

The greatest common factor of 582/669,1069/892 = [GCF of 582,1069]/[LCM of 669,892]= 1/2676

Therefore, the GCF of 582/669,1069/892 is 1/2676.

Greatest Common Factor of 582,1069

To find the highest common factor of 582,1069, we have to find the factors of both numbers and list the highest common factor.

The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582

The factors of 1069 are 1, 1069

The HCF of 582,1069 is 1.

Lets's calculate GCF of 582,1069

Greatest Common Factor (GCF) of 582,1069 By Common Division

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

Greatest Common Factor of 582,1069 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,1069 By Matching Biggest Common Factor Method

Now, list down the factors of 582

:

1,2,3,6,97,194,291,582

Now, list down the factors of 1069

:

1,1069

Greatest Common Factor

We found the factors 582,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 582,1069 is 1.

Lets's calculate LCM of 669,892

Lowest Common Multiple of 669,892 using Common Division

223 669, 892
3, 4

∴ So the LCM of the given numbers is 223 x 3 x 4 = 2676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2676

Therefore, the GCF of Fractions 582/669,1069/892 is 1/2676

Least Common Multiple of 669,892 with GCF Formula

Least Common Multiple of 669,892 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 669,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,892) = 223

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

GCF(669,892) x common factors =223 x 1 = 223

LCM(669,892) = ( 669 × 892 ) / 223

LCM(669,892) = 596748 / 223

LCM(669,892) = 2676


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FAQs on GCF of Fractions of 582/669, 1069/892

1. What is the HCF of 582,1069?

The HCF of 582,1069 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 582/669, 1069/892?

Answer: GCF of Numerators as per given numbers 582/669, 1069/892 is

GCF of Numerators i.e. for 582,1069 is 1

LCM of denominators i.e. for 669,892 is 2676.

Thus, GCF of Fractions is 1/2676.Finally, GCF of Fractions for 582/669, 1069/892 is 1/2676.