How to Find GCF of 34/947, 73/578, 547/446?

GCF of 34/947, 73/578, 547/446

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 34/947, 73/578, 547/446 i.e 1/122062618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/947, 73/578, 547/446.

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 34/947,73/578,547/446?

Given fractions are 34/947,73/578,547/446

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 34/947,73/578,547/446, numerators are 34,73,547

Denominators are 947,578,446

The GCF of 34,73,547 is 1 .

LCM of 947,578,446 is 122062618.

The greatest common factor of 34/947,73/578,547/446 = [GCF of 34,73,547]/[LCM of 947,578,446]= 1/122062618

Therefore, the GCF of 34/947,73/578,547/446 is 1/122062618.

Greatest Common Factor of 34,73,547

To find the highest common factor of 34,73,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 73 are 1, 73

The factors of 547 are 1, 547

The HCF of 34,73,547 is 1.

Lets's calculate GCF of 34,73,547

Greatest Common Factor (GCF) of 34,73,547 By Common Division

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

Greatest Common Factor of 34,73,547 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 73

1,73

Now, list down the factors of 547

1,547

Greatest Common Factor

We found the factors 34,73,547 . The biggest common factor number is the GCF number.
So the greatest common factor 34,73,547 is 1.

Lets's calculate LCM of 947,578,446

Lowest Common Multiple of 947,578,446 using Common Division

2	947, 578, 446
	947, 289, 223

∴ So the LCM of the given numbers is 2 x 947 x 289 x 223 = 122062618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122062618

Therefore, the GCF of Fractions 34/947,73/578,547/446 is 1/122062618

Least Common Multiple of 947,578,446 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 947,578,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,578,446) = 1

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

GCF(947,578,446) x common factors =1 x 2 = 2

LCM(947,578,446) = ( 947 × 578 × 446 ) / 2

LCM(947,578,446) = 244125236 / 2

LCM(947,578,446) = 122062618

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FAQs on GCF of Fractions of 34/947, 73/578, 547/446

1. What is the HCF of 34,73,547?

The HCF of 34,73,547 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 34/947, 73/578, 547/446?

Answer: GCF of Numerators as per given numbers 34/947, 73/578, 547/446 is

GCF of Numerators i.e. for 34,73,547 is 1

LCM of denominators i.e. for 947,578,446 is 122062618.

Thus, GCF of Fractions is 1/122062618.Finally, GCF of Fractions for 34/947, 73/578, 547/446 is 1/122062618.