How to Find GCF of 34/10, 458/28, 805/393?

GCF of 34/10, 458/28, 805/393

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 34/10, 458/28, 805/393 i.e 1/55020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/10, 458/28, 805/393.

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 34/10,458/28,805/393?

Given fractions are 34/10,458/28,805/393

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 34/10,458/28,805/393, numerators are 34,458,805

Denominators are 10,28,393

The GCF of 34,458,805 is 1 .

LCM of 10,28,393 is 55020.

The greatest common factor of 34/10,458/28,805/393 = [GCF of 34,458,805]/[LCM of 10,28,393]= 1/55020

Therefore, the GCF of 34/10,458/28,805/393 is 1/55020.

Greatest Common Factor of 34,458,805

To find the highest common factor of 34,458,805, 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 458 are 1, 2, 229, 458

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The HCF of 34,458,805 is 1.

Lets's calculate GCF of 34,458,805

Greatest Common Factor (GCF) of 34,458,805 By Common Division

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

Greatest Common Factor of 34,458,805 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 458

1,2,229,458

Now, list down the factors of 805

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 34,458,805 . The biggest common factor number is the GCF number.
So the greatest common factor 34,458,805 is 1.

Lets's calculate LCM of 10,28,393

Lowest Common Multiple of 10,28,393 using Common Division

2	10, 28, 393
	5, 14, 393

∴ So the LCM of the given numbers is 2 x 5 x 14 x 393 = 55020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55020

Therefore, the GCF of Fractions 34/10,458/28,805/393 is 1/55020

Least Common Multiple of 10,28,393 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 10,28,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,28,393) = 1

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

GCF(10,28,393) x common factors =1 x 2 = 2

LCM(10,28,393) = ( 10 × 28 × 393 ) / 2

LCM(10,28,393) = 110040 / 2

LCM(10,28,393) = 55020

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FAQs on GCF of Fractions of 34/10, 458/28, 805/393

1. What is the HCF of 34,458,805?

The HCF of 34,458,805 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 34/10, 458/28, 805/393?

Answer: GCF of Numerators as per given numbers 34/10, 458/28, 805/393 is

GCF of Numerators i.e. for 34,458,805 is 1

LCM of denominators i.e. for 10,28,393 is 55020.

Thus, GCF of Fractions is 1/55020.Finally, GCF of Fractions for 34/10, 458/28, 805/393 is 1/55020.