How to Find GCF of 15/95, 22/78, 980/559?

GCF of 15/95, 22/78, 980/559

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 15/95, 22/78, 980/559 i.e 1/318630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/95, 22/78, 980/559.

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 15/95,22/78,980/559?

Given fractions are 15/95,22/78,980/559

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 15/95,22/78,980/559, numerators are 15,22,980

Denominators are 95,78,559

The GCF of 15,22,980 is 1 .

LCM of 95,78,559 is 318630.

The greatest common factor of 15/95,22/78,980/559 = [GCF of 15,22,980]/[LCM of 95,78,559]= 1/318630

Therefore, the GCF of 15/95,22/78,980/559 is 1/318630.

Greatest Common Factor of 15,22,980

To find the highest common factor of 15,22,980, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 22 are 1, 2, 11, 22

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 15,22,980 is 1.

Lets's calculate GCF of 15,22,980

Greatest Common Factor (GCF) of 15,22,980 By Common Division

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

Greatest Common Factor of 15,22,980 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 15,22,980 . The biggest common factor number is the GCF number.
So the greatest common factor 15,22,980 is 1.

Lets's calculate LCM of 95,78,559

Lowest Common Multiple of 95,78,559 using Common Division

13	95, 78, 559
	95, 6, 43

∴ So the LCM of the given numbers is 13 x 95 x 6 x 43 = 318630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318630

Therefore, the GCF of Fractions 15/95,22/78,980/559 is 1/318630

Least Common Multiple of 95,78,559 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 95,78,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,78,559) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(95,78,559) x common factors =1 x 13 = 13

LCM(95,78,559) = ( 95 × 78 × 559 ) / 13

LCM(95,78,559) = 4142190 / 13

LCM(95,78,559) = 318630

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/95, 22/78, 980/559

1. What is the HCF of 15,22,980?

The HCF of 15,22,980 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 15/95, 22/78, 980/559?

Answer: GCF of Numerators as per given numbers 15/95, 22/78, 980/559 is

GCF of Numerators i.e. for 15,22,980 is 1

LCM of denominators i.e. for 95,78,559 is 318630.

Thus, GCF of Fractions is 1/318630.Finally, GCF of Fractions for 15/95, 22/78, 980/559 is 1/318630.