How to Find GCF of 732/559, 710/191, 433/937?

GCF of 732/559, 710/191, 433/937

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 732/559, 710/191, 433/937 i.e 1/100042553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/559, 710/191, 433/937.

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 732/559,710/191,433/937?

Given fractions are 732/559,710/191,433/937

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 732/559,710/191,433/937, numerators are 732,710,433

Denominators are 559,191,937

The GCF of 732,710,433 is 1 .

LCM of 559,191,937 is 100042553.

The greatest common factor of 732/559,710/191,433/937 = [GCF of 732,710,433]/[LCM of 559,191,937]= 1/100042553

Therefore, the GCF of 732/559,710/191,433/937 is 1/100042553.

Greatest Common Factor of 732,710,433

To find the highest common factor of 732,710,433, we have to find the factors of both numbers and list the highest common factor.

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710

The factors of 433 are 1, 433

The HCF of 732,710,433 is 1.

Lets's calculate GCF of 732,710,433

Greatest Common Factor (GCF) of 732,710,433 By Common Division

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

Greatest Common Factor of 732,710,433 By Matching Biggest Common Factor Method

Now, list down the factors of 732

1,2,3,4,6,12,61,122,183,244,366,732

Now, list down the factors of 710

1,2,5,10,71,142,355,710

Now, list down the factors of 433

1,433

Greatest Common Factor

We found the factors 732,710,433 . The biggest common factor number is the GCF number.
So the greatest common factor 732,710,433 is 1.

Lets's calculate LCM of 559,191,937

Lowest Common Multiple of 559,191,937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 100042553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100042553

Therefore, the GCF of Fractions 732/559,710/191,433/937 is 1/100042553

Least Common Multiple of 559,191,937 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 559,191,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,191,937) = 1

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

GCF(559,191,937) x common factors =1 x 1 = 1

LCM(559,191,937) = ( 559 × 191 × 937 ) / 1

LCM(559,191,937) = 100042553 / 1

LCM(559,191,937) = 100042553

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 732/559, 710/191, 433/937

1. What is the HCF of 732,710,433?

The HCF of 732,710,433 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 732/559, 710/191, 433/937?

Answer: GCF of Numerators as per given numbers 732/559, 710/191, 433/937 is

GCF of Numerators i.e. for 732,710,433 is 1

LCM of denominators i.e. for 559,191,937 is 100042553.

Thus, GCF of Fractions is 1/100042553.Finally, GCF of Fractions for 732/559, 710/191, 433/937 is 1/100042553.