How to Find GCF of 155/866, 406/121?

GCF of 155/866, 406/121

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 155/866, 406/121 i.e 1/104786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/866, 406/121.

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 155/866,406/121?

Given fractions are 155/866,406/121

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 155/866,406/121, numerators are 155,406

Denominators are 866,121

The GCF of 155,406 is 1 .

LCM of 866,121 is 104786.

The greatest common factor of 155/866,406/121 = [GCF of 155,406]/[LCM of 866,121]= 1/104786

Therefore, the GCF of 155/866,406/121 is 1/104786.

Greatest Common Factor of 155,406

To find the highest common factor of 155,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 155 are 1, 5, 31, 155

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 155,406 is 1.

Lets's calculate GCF of 155,406

Greatest Common Factor (GCF) of 155,406 By Common Division

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

Greatest Common Factor of 155,406 By Matching Biggest Common Factor Method

Now, list down the factors of 155

1,5,31,155

Now, list down the factors of 406

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 155,406 . The biggest common factor number is the GCF number.
So the greatest common factor 155,406 is 1.

Lets's calculate LCM of 866,121

Lowest Common Multiple of 866,121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 104786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104786

Therefore, the GCF of Fractions 155/866,406/121 is 1/104786

Least Common Multiple of 866,121 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 866,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,121) = 1

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

GCF(866,121) x common factors =1 x 1 = 1

LCM(866,121) = ( 866 × 121 ) / 1

LCM(866,121) = 104786 / 1

LCM(866,121) = 104786

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FAQs on GCF of Fractions of 155/866, 406/121

1. What is the HCF of 155,406?

The HCF of 155,406 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 155/866, 406/121?

Answer: GCF of Numerators as per given numbers 155/866, 406/121 is

GCF of Numerators i.e. for 155,406 is 1

LCM of denominators i.e. for 866,121 is 104786.

Thus, GCF of Fractions is 1/104786.Finally, GCF of Fractions for 155/866, 406/121 is 1/104786.