How to Find GCF of 13/555, 67/406, 601/202?

GCF of 13/555, 67/406, 601/202

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 13/555, 67/406, 601/202 i.e 1/22758330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/555, 67/406, 601/202.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 13/555,67/406,601/202?

Given fractions are 13/555,67/406,601/202

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 13/555,67/406,601/202, numerators are 13,67,601

Denominators are 555,406,202

The GCF of 13,67,601 is 1 .

LCM of 555,406,202 is 22758330.

The greatest common factor of 13/555,67/406,601/202 = [GCF of 13,67,601]/[LCM of 555,406,202]= 1/22758330

Therefore, the GCF of 13/555,67/406,601/202 is 1/22758330.

Greatest Common Factor of 13,67,601

To find the highest common factor of 13,67,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 67 are 1, 67

The factors of 601 are 1, 601

The HCF of 13,67,601 is 1.

Lets's calculate GCF of 13,67,601

Greatest Common Factor (GCF) of 13,67,601 By Common Division

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

Greatest Common Factor of 13,67,601 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 67

1,67

Now, list down the factors of 601

1,601

Greatest Common Factor

We found the factors 13,67,601 . The biggest common factor number is the GCF number.
So the greatest common factor 13,67,601 is 1.

Lets's calculate LCM of 555,406,202

Lowest Common Multiple of 555,406,202 using Common Division

2	555, 406, 202
	555, 203, 101

∴ So the LCM of the given numbers is 2 x 555 x 203 x 101 = 22758330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22758330

Therefore, the GCF of Fractions 13/555,67/406,601/202 is 1/22758330

Least Common Multiple of 555,406,202 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 555,406,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,406,202) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(555,406,202) x common factors =1 x 2 = 2

LCM(555,406,202) = ( 555 × 406 × 202 ) / 2

LCM(555,406,202) = 45516660 / 2

LCM(555,406,202) = 22758330

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FAQs on GCF of Fractions of 13/555, 67/406, 601/202

1. What is the HCF of 13,67,601?

The HCF of 13,67,601 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 13/555, 67/406, 601/202?

Answer: GCF of Numerators as per given numbers 13/555, 67/406, 601/202 is

GCF of Numerators i.e. for 13,67,601 is 1

LCM of denominators i.e. for 555,406,202 is 22758330.

Thus, GCF of Fractions is 1/22758330.Finally, GCF of Fractions for 13/555, 67/406, 601/202 is 1/22758330.