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GCF of 555/204, 739/692

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 555/204, 739/692 i.e 1/35292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/204, 739/692.

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 555/204,739/692?

Given fractions are 555/204,739/692

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 555/204,739/692, numerators are 555,739

Denominators are 204,692

The GCF of 555,739 is 1 .

LCM of 204,692 is 35292.

The greatest common factor of 555/204,739/692 = [GCF of 555,739]/[LCM of 204,692]= 1/35292

Therefore, the GCF of 555/204,739/692 is 1/35292.

Greatest Common Factor of 555,739

To find the highest common factor of 555,739, we have to find the factors of both numbers and list the highest common factor.

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 739 are 1, 739

The HCF of 555,739 is 1.

Lets's calculate GCF of 555,739

Greatest Common Factor (GCF) of 555,739 By Common Division

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

Greatest Common Factor of 555,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,739 By Matching Biggest Common Factor Method

Now, list down the factors of 555

:

1,3,5,15,37,111,185,555

Now, list down the factors of 739

:

1,739

Greatest Common Factor

We found the factors 555,739 . The biggest common factor number is the GCF number.
So the greatest common factor 555,739 is 1.

Lets's calculate LCM of 204,692

Lowest Common Multiple of 204,692 using Common Division

2 204, 692
2 102, 346
51, 173

∴ So the LCM of the given numbers is 2 x 2 x 51 x 173 = 35292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35292

Therefore, the GCF of Fractions 555/204,739/692 is 1/35292

Least Common Multiple of 204,692 with GCF Formula

Least Common Multiple of 204,692 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 204,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,692) = 4

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

GCF(204,692) x common factors =4 x 1 = 4

LCM(204,692) = ( 204 × 692 ) / 4

LCM(204,692) = 141168 / 4

LCM(204,692) = 35292


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FAQs on GCF of Fractions of 555/204, 739/692

1. What is the HCF of 555,739?

The HCF of 555,739 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 555/204, 739/692?

Answer: GCF of Numerators as per given numbers 555/204, 739/692 is

GCF of Numerators i.e. for 555,739 is 1

LCM of denominators i.e. for 204,692 is 35292.

Thus, GCF of Fractions is 1/35292.Finally, GCF of Fractions for 555/204, 739/692 is 1/35292.