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GCF of 557/504, 2670/692

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 557/504, 2670/692 i.e 1/87192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/504, 2670/692.

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 557/504,2670/692?

Given fractions are 557/504,2670/692

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 557/504,2670/692, numerators are 557,2670

Denominators are 504,692

The GCF of 557,2670 is 1 .

LCM of 504,692 is 87192.

The greatest common factor of 557/504,2670/692 = [GCF of 557,2670]/[LCM of 504,692]= 1/87192

Therefore, the GCF of 557/504,2670/692 is 1/87192.

Greatest Common Factor of 557,2670

To find the highest common factor of 557,2670, we have to find the factors of both numbers and list the highest common factor.

The factors of 557 are 1, 557

The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670

The HCF of 557,2670 is 1.

Lets's calculate GCF of 557,2670

Greatest Common Factor (GCF) of 557,2670 By Common Division

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

Greatest Common Factor of 557,2670 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,2670 By Matching Biggest Common Factor Method

Now, list down the factors of 557

:

1,557

Now, list down the factors of 2670

:

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Greatest Common Factor

We found the factors 557,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 557,2670 is 1.

Lets's calculate LCM of 504,692

Lowest Common Multiple of 504,692 using Common Division

2 504, 692
2 252, 346
126, 173

∴ So the LCM of the given numbers is 2 x 2 x 126 x 173 = 87192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87192

Therefore, the GCF of Fractions 557/504,2670/692 is 1/87192

Least Common Multiple of 504,692 with GCF Formula

Least Common Multiple of 504,692 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 504,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,692) = 4

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

GCF(504,692) x common factors =4 x 1 = 4

LCM(504,692) = ( 504 × 692 ) / 4

LCM(504,692) = 348768 / 4

LCM(504,692) = 87192


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FAQs on GCF of Fractions of 557/504, 2670/692

1. What is the HCF of 557,2670?

The HCF of 557,2670 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 557/504, 2670/692?

Answer: GCF of Numerators as per given numbers 557/504, 2670/692 is

GCF of Numerators i.e. for 557,2670 is 1

LCM of denominators i.e. for 504,692 is 87192.

Thus, GCF of Fractions is 1/87192.Finally, GCF of Fractions for 557/504, 2670/692 is 1/87192.