How to Find GCF of 34/79, 578/60, 457/294?

GCF of 34/79, 578/60, 457/294

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 34/79, 578/60, 457/294 i.e 1/232260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/79, 578/60, 457/294.

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 34/79,578/60,457/294?

Given fractions are 34/79,578/60,457/294

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 34/79,578/60,457/294, numerators are 34,578,457

Denominators are 79,60,294

The GCF of 34,578,457 is 1 .

LCM of 79,60,294 is 232260.

The greatest common factor of 34/79,578/60,457/294 = [GCF of 34,578,457]/[LCM of 79,60,294]= 1/232260

Therefore, the GCF of 34/79,578/60,457/294 is 1/232260.

Greatest Common Factor of 34,578,457

To find the highest common factor of 34,578,457, 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 578 are 1, 2, 17, 34, 289, 578

The factors of 457 are 1, 457

The HCF of 34,578,457 is 1.

Lets's calculate GCF of 34,578,457

Greatest Common Factor (GCF) of 34,578,457 By Common Division

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

Greatest Common Factor of 34,578,457 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 578

1,2,17,34,289,578

Now, list down the factors of 457

1,457

Greatest Common Factor

We found the factors 34,578,457 . The biggest common factor number is the GCF number.
So the greatest common factor 34,578,457 is 1.

Lets's calculate LCM of 79,60,294

Lowest Common Multiple of 79,60,294 using Common Division

2	79, 60, 294
3	79, 30, 147
	79, 10, 49

∴ So the LCM of the given numbers is 2 x 3 x 79 x 10 x 49 = 232260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232260

Therefore, the GCF of Fractions 34/79,578/60,457/294 is 1/232260

Least Common Multiple of 79,60,294 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 79,60,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,60,294) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(79,60,294) x common factors =1 x 6 = 6

LCM(79,60,294) = ( 79 × 60 × 294 ) / 6

LCM(79,60,294) = 1393560 / 6

LCM(79,60,294) = 232260

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 34/79, 578/60, 457/294

1. What is the HCF of 34,578,457?

The HCF of 34,578,457 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 34/79, 578/60, 457/294?

Answer: GCF of Numerators as per given numbers 34/79, 578/60, 457/294 is

GCF of Numerators i.e. for 34,578,457 is 1

LCM of denominators i.e. for 79,60,294 is 232260.

Thus, GCF of Fractions is 1/232260.Finally, GCF of Fractions for 34/79, 578/60, 457/294 is 1/232260.