How to Find GCF of 70/203, 568/106, 334/978?

GCF of 70/203, 568/106, 334/978

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 70/203, 568/106, 334/978 i.e 2/10522302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/203, 568/106, 334/978.

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 70/203,568/106,334/978?

Given fractions are 70/203,568/106,334/978

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 70/203,568/106,334/978, numerators are 70,568,334

Denominators are 203,106,978

The GCF of 70,568,334 is 2 .

LCM of 203,106,978 is 10522302.

The greatest common factor of 70/203,568/106,334/978 = [GCF of 70,568,334]/[LCM of 203,106,978]= 2/10522302

Therefore, the GCF of 70/203,568/106,334/978 is 2/10522302.

Greatest Common Factor of 70,568,334

To find the highest common factor of 70,568,334, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The factors of 334 are 1, 2, 167, 334

The HCF of 70,568,334 is 2.

Lets's calculate GCF of 70,568,334

Greatest Common Factor (GCF) of 70,568,334 By Common Division

2	70, 568, 334
	35, 284, 167

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,568,334 By Matching Biggest Common Factor Method

Now, list down the factors of 70

1,2,5,7,10,14,35,70

Now, list down the factors of 568

1,2,4,8,71,142,284,568

Now, list down the factors of 334

1,2,167,334

Greatest Common Factor

We found the factors 70,568,334 . The biggest common factor number is the GCF number.
So the greatest common factor 70,568,334 is 2.

Lets's calculate LCM of 203,106,978

Lowest Common Multiple of 203,106,978 using Common Division

2	203, 106, 978
	203, 53, 489

∴ So the LCM of the given numbers is 2 x 203 x 53 x 489 = 10522302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10522302

Therefore, the GCF of Fractions 70/203,568/106,334/978 is 2/10522302

Least Common Multiple of 203,106,978 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 203,106,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,106,978) = 1

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

GCF(203,106,978) x common factors =1 x 2 = 2

LCM(203,106,978) = ( 203 × 106 × 978 ) / 2

LCM(203,106,978) = 21044604 / 2

LCM(203,106,978) = 10522302

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 70/203, 568/106, 334/978

1. What is the HCF of 70,568,334?

The HCF of 70,568,334 is 2

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 70/203, 568/106, 334/978?

Answer: GCF of Numerators as per given numbers 70/203, 568/106, 334/978 is

GCF of Numerators i.e. for 70,568,334 is 2

LCM of denominators i.e. for 203,106,978 is 10522302.

Thus, GCF of Fractions is 2/10522302.Finally, GCF of Fractions for 70/203, 568/106, 334/978 is 2/10522302.