How to Find GCF of 359/905, 529/108, 440/151?

GCF of 359/905, 529/108, 440/151

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 359/905, 529/108, 440/151 i.e 1/14758740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/905, 529/108, 440/151.

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 359/905,529/108,440/151?

Given fractions are 359/905,529/108,440/151

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 359/905,529/108,440/151, numerators are 359,529,440

Denominators are 905,108,151

The GCF of 359,529,440 is 1 .

LCM of 905,108,151 is 14758740.

The greatest common factor of 359/905,529/108,440/151 = [GCF of 359,529,440]/[LCM of 905,108,151]= 1/14758740

Therefore, the GCF of 359/905,529/108,440/151 is 1/14758740.

Greatest Common Factor of 359,529,440

To find the highest common factor of 359,529,440, we have to find the factors of both numbers and list the highest common factor.

The factors of 359 are 1, 359

The factors of 529 are 1, 23, 529

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The HCF of 359,529,440 is 1.

Lets's calculate GCF of 359,529,440

Greatest Common Factor (GCF) of 359,529,440 By Common Division

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

Greatest Common Factor of 359,529,440 By Matching Biggest Common Factor Method

Now, list down the factors of 359

1,359

Now, list down the factors of 529

1,23,529

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 359,529,440 . The biggest common factor number is the GCF number.
So the greatest common factor 359,529,440 is 1.

Lets's calculate LCM of 905,108,151

Lowest Common Multiple of 905,108,151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14758740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14758740

Therefore, the GCF of Fractions 359/905,529/108,440/151 is 1/14758740

Least Common Multiple of 905,108,151 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 905,108,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,108,151) = 1

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

GCF(905,108,151) x common factors =1 x 1 = 1

LCM(905,108,151) = ( 905 × 108 × 151 ) / 1

LCM(905,108,151) = 14758740 / 1

LCM(905,108,151) = 14758740

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 359/905, 529/108, 440/151

1. What is the HCF of 359,529,440?

The HCF of 359,529,440 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 359/905, 529/108, 440/151?

Answer: GCF of Numerators as per given numbers 359/905, 529/108, 440/151 is

GCF of Numerators i.e. for 359,529,440 is 1

LCM of denominators i.e. for 905,108,151 is 14758740.

Thus, GCF of Fractions is 1/14758740.Finally, GCF of Fractions for 359/905, 529/108, 440/151 is 1/14758740.