How to Find GCF of 155/40, 528/431?

GCF of 155/40, 528/431

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 155/40, 528/431 i.e 1/17240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/40, 528/431.

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 155/40,528/431?

Given fractions are 155/40,528/431

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 155/40,528/431, numerators are 155,528

Denominators are 40,431

The GCF of 155,528 is 1 .

LCM of 40,431 is 17240.

The greatest common factor of 155/40,528/431 = [GCF of 155,528]/[LCM of 40,431]= 1/17240

Therefore, the GCF of 155/40,528/431 is 1/17240.

Greatest Common Factor of 155,528

To find the highest common factor of 155,528, 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 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

The HCF of 155,528 is 1.

Lets's calculate GCF of 155,528

Greatest Common Factor (GCF) of 155,528 By Common Division

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

Greatest Common Factor of 155,528 By Matching Biggest Common Factor Method

Now, list down the factors of 155

1,5,31,155

Now, list down the factors of 528

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 155,528 . The biggest common factor number is the GCF number.
So the greatest common factor 155,528 is 1.

Lets's calculate LCM of 40,431

Lowest Common Multiple of 40,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17240

Therefore, the GCF of Fractions 155/40,528/431 is 1/17240

Least Common Multiple of 40,431 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 40,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,431) = 1

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

GCF(40,431) x common factors =1 x 1 = 1

LCM(40,431) = ( 40 × 431 ) / 1

LCM(40,431) = 17240 / 1

LCM(40,431) = 17240

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 155/40, 528/431

1. What is the HCF of 155,528?

The HCF of 155,528 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 155/40, 528/431?

Answer: GCF of Numerators as per given numbers 155/40, 528/431 is

GCF of Numerators i.e. for 155,528 is 1

LCM of denominators i.e. for 40,431 is 17240.

Thus, GCF of Fractions is 1/17240.Finally, GCF of Fractions for 155/40, 528/431 is 1/17240.