How to Find GCF of 34/95, 933/54, 106/476?

GCF of 34/95, 933/54, 106/476

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 34/95, 933/54, 106/476 i.e 1/1220940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/95, 933/54, 106/476.

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 34/95,933/54,106/476?

Given fractions are 34/95,933/54,106/476

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 34/95,933/54,106/476, numerators are 34,933,106

Denominators are 95,54,476

The GCF of 34,933,106 is 1 .

LCM of 95,54,476 is 1220940.

The greatest common factor of 34/95,933/54,106/476 = [GCF of 34,933,106]/[LCM of 95,54,476]= 1/1220940

Therefore, the GCF of 34/95,933/54,106/476 is 1/1220940.

Greatest Common Factor of 34,933,106

To find the highest common factor of 34,933,106, 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 933 are 1, 3, 311, 933

The factors of 106 are 1, 2, 53, 106

The HCF of 34,933,106 is 1.

Lets's calculate GCF of 34,933,106

Greatest Common Factor (GCF) of 34,933,106 By Common Division

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

Greatest Common Factor of 34,933,106 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 933

1,3,311,933

Now, list down the factors of 106

1,2,53,106

Greatest Common Factor

We found the factors 34,933,106 . The biggest common factor number is the GCF number.
So the greatest common factor 34,933,106 is 1.

Lets's calculate LCM of 95,54,476

Lowest Common Multiple of 95,54,476 using Common Division

2	95, 54, 476
	95, 27, 238

∴ So the LCM of the given numbers is 2 x 95 x 27 x 238 = 1220940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1220940

Therefore, the GCF of Fractions 34/95,933/54,106/476 is 1/1220940

Least Common Multiple of 95,54,476 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 95,54,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,54,476) = 1

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

GCF(95,54,476) x common factors =1 x 2 = 2

LCM(95,54,476) = ( 95 × 54 × 476 ) / 2

LCM(95,54,476) = 2441880 / 2

LCM(95,54,476) = 1220940

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FAQs on GCF of Fractions of 34/95, 933/54, 106/476

1. What is the HCF of 34,933,106?

The HCF of 34,933,106 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 34/95, 933/54, 106/476?

Answer: GCF of Numerators as per given numbers 34/95, 933/54, 106/476 is

GCF of Numerators i.e. for 34,933,106 is 1

LCM of denominators i.e. for 95,54,476 is 1220940.

Thus, GCF of Fractions is 1/1220940.Finally, GCF of Fractions for 34/95, 933/54, 106/476 is 1/1220940.