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GCF of 577/504, 889/284

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 577/504, 889/284 i.e 1/35784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 577/504, 889/284.

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 577/504,889/284?

Given fractions are 577/504,889/284

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 577/504,889/284, numerators are 577,889

Denominators are 504,284

The GCF of 577,889 is 1 .

LCM of 504,284 is 35784.

The greatest common factor of 577/504,889/284 = [GCF of 577,889]/[LCM of 504,284]= 1/35784

Therefore, the GCF of 577/504,889/284 is 1/35784.

Greatest Common Factor of 577,889

To find the highest common factor of 577,889, we have to find the factors of both numbers and list the highest common factor.

The factors of 577 are 1, 577

The factors of 889 are 1, 7, 127, 889

The HCF of 577,889 is 1.

Lets's calculate GCF of 577,889

Greatest Common Factor (GCF) of 577,889 By Common Division

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

Greatest Common Factor of 577,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,889 By Matching Biggest Common Factor Method

Now, list down the factors of 577

:

1,577

Now, list down the factors of 889

:

1,7,127,889

Greatest Common Factor

We found the factors 577,889 . The biggest common factor number is the GCF number.
So the greatest common factor 577,889 is 1.

Lets's calculate LCM of 504,284

Lowest Common Multiple of 504,284 using Common Division

2 504, 284
2 252, 142
126, 71

∴ So the LCM of the given numbers is 2 x 2 x 126 x 71 = 35784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35784

Therefore, the GCF of Fractions 577/504,889/284 is 1/35784

Least Common Multiple of 504,284 with GCF Formula

Least Common Multiple of 504,284 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 504,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,284) = 4

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

GCF(504,284) x common factors =4 x 1 = 4

LCM(504,284) = ( 504 × 284 ) / 4

LCM(504,284) = 143136 / 4

LCM(504,284) = 35784


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FAQs on GCF of Fractions of 577/504, 889/284

1. What is the HCF of 577,889?

The HCF of 577,889 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 577/504, 889/284?

Answer: GCF of Numerators as per given numbers 577/504, 889/284 is

GCF of Numerators i.e. for 577,889 is 1

LCM of denominators i.e. for 504,284 is 35784.

Thus, GCF of Fractions is 1/35784.Finally, GCF of Fractions for 577/504, 889/284 is 1/35784.