How to Find GCF of 17/492, 19/210, 115/776?

GCF of 17/492, 19/210, 115/776

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 17/492, 19/210, 115/776 i.e 1/3340680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/492, 19/210, 115/776.

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 17/492,19/210,115/776?

Given fractions are 17/492,19/210,115/776

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 17/492,19/210,115/776, numerators are 17,19,115

Denominators are 492,210,776

The GCF of 17,19,115 is 1 .

LCM of 492,210,776 is 3340680.

The greatest common factor of 17/492,19/210,115/776 = [GCF of 17,19,115]/[LCM of 492,210,776]= 1/3340680

Therefore, the GCF of 17/492,19/210,115/776 is 1/3340680.

Greatest Common Factor of 17,19,115

To find the highest common factor of 17,19,115, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 19 are 1, 19

The factors of 115 are 1, 5, 23, 115

The HCF of 17,19,115 is 1.

Lets's calculate GCF of 17,19,115

Greatest Common Factor (GCF) of 17,19,115 By Common Division

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

Greatest Common Factor of 17,19,115 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 19

1,19

Now, list down the factors of 115

1,5,23,115

Greatest Common Factor

We found the factors 17,19,115 . The biggest common factor number is the GCF number.
So the greatest common factor 17,19,115 is 1.

Lets's calculate LCM of 492,210,776

Lowest Common Multiple of 492,210,776 using Common Division

2	492, 210, 776
2	246, 105, 388
3	123, 105, 194
	41, 35, 194

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 35 x 194 = 3340680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3340680

Therefore, the GCF of Fractions 17/492,19/210,115/776 is 1/3340680

Least Common Multiple of 492,210,776 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 492,210,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,210,776) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(492,210,776) x common factors =2 x 12 = 24

LCM(492,210,776) = ( 492 × 210 × 776 ) / 24

LCM(492,210,776) = 80176320 / 24

LCM(492,210,776) = 3340680

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/492, 19/210, 115/776

1. What is the HCF of 17,19,115?

The HCF of 17,19,115 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 17/492, 19/210, 115/776?

Answer: GCF of Numerators as per given numbers 17/492, 19/210, 115/776 is

GCF of Numerators i.e. for 17,19,115 is 1

LCM of denominators i.e. for 492,210,776 is 3340680.

Thus, GCF of Fractions is 1/3340680.Finally, GCF of Fractions for 17/492, 19/210, 115/776 is 1/3340680.