How to Find GCF of 70/60, 51/28, 203/559?

GCF of 70/60, 51/28, 203/559

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 70/60, 51/28, 203/559 i.e 1/234780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/60, 51/28, 203/559.

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 70/60,51/28,203/559?

Given fractions are 70/60,51/28,203/559

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 70/60,51/28,203/559, numerators are 70,51,203

Denominators are 60,28,559

The GCF of 70,51,203 is 1 .

LCM of 60,28,559 is 234780.

The greatest common factor of 70/60,51/28,203/559 = [GCF of 70,51,203]/[LCM of 60,28,559]= 1/234780

Therefore, the GCF of 70/60,51/28,203/559 is 1/234780.

Greatest Common Factor of 70,51,203

To find the highest common factor of 70,51,203, 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 51 are 1, 3, 17, 51

The factors of 203 are 1, 7, 29, 203

The HCF of 70,51,203 is 1.

Lets's calculate GCF of 70,51,203

Greatest Common Factor (GCF) of 70,51,203 By Common Division

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

Greatest Common Factor of 70,51,203 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 51

1,3,17,51

Now, list down the factors of 203

1,7,29,203

Greatest Common Factor

We found the factors 70,51,203 . The biggest common factor number is the GCF number.
So the greatest common factor 70,51,203 is 1.

Lets's calculate LCM of 60,28,559

Lowest Common Multiple of 60,28,559 using Common Division

2	60, 28, 559
2	30, 14, 559
	15, 7, 559

∴ So the LCM of the given numbers is 2 x 2 x 15 x 7 x 559 = 234780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234780

Therefore, the GCF of Fractions 70/60,51/28,203/559 is 1/234780

Least Common Multiple of 60,28,559 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 60,28,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,28,559) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,28,559) x common factors =1 x 4 = 4

LCM(60,28,559) = ( 60 × 28 × 559 ) / 4

LCM(60,28,559) = 939120 / 4

LCM(60,28,559) = 234780

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FAQs on GCF of Fractions of 70/60, 51/28, 203/559

1. What is the HCF of 70,51,203?

The HCF of 70,51,203 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 70/60, 51/28, 203/559?

Answer: GCF of Numerators as per given numbers 70/60, 51/28, 203/559 is

GCF of Numerators i.e. for 70,51,203 is 1

LCM of denominators i.e. for 60,28,559 is 234780.

Thus, GCF of Fractions is 1/234780.Finally, GCF of Fractions for 70/60, 51/28, 203/559 is 1/234780.