How to Find GCF of 17/783, 9962/7879?

GCF of 17/783, 9962/7879

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 17/783, 9962/7879 i.e 17/6169257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/783, 9962/7879.

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 17/783,9962/7879?

Given fractions are 17/783,9962/7879

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 17/783,9962/7879, numerators are 17,9962

Denominators are 783,7879

The GCF of 17,9962 is 17 .

LCM of 783,7879 is 6169257.

The greatest common factor of 17/783,9962/7879 = [GCF of 17,9962]/[LCM of 783,7879]= 17/6169257

Therefore, the GCF of 17/783,9962/7879 is 17/6169257.

Greatest Common Factor of 17,9962

To find the highest common factor of 17,9962, 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 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962

The HCF of 17,9962 is 17.

Lets's calculate GCF of 17,9962

Greatest Common Factor (GCF) of 17,9962 By Common Division

17	17, 9962
	1, 586

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 17,9962 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 9962

1,2,17,34,293,586,4981,9962

Greatest Common Factor

We found the factors 17,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 17,9962 is 17.

Lets's calculate LCM of 783,7879

Lowest Common Multiple of 783,7879 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6169257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6169257

Therefore, the GCF of Fractions 17/783,9962/7879 is 17/6169257

Least Common Multiple of 783,7879 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 783,7879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,7879) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(783,7879) x common factors =1 x 1 = 1

LCM(783,7879) = ( 783 × 7879 ) / 1

LCM(783,7879) = 6169257 / 1

LCM(783,7879) = 6169257

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 17/783, 9962/7879

1. What is the HCF of 17,9962?

The HCF of 17,9962 is 17

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 17/783, 9962/7879?

Answer: GCF of Numerators as per given numbers 17/783, 9962/7879 is

GCF of Numerators i.e. for 17,9962 is 17

LCM of denominators i.e. for 783,7879 is 6169257.

Thus, GCF of Fractions is 17/6169257.Finally, GCF of Fractions for 17/783, 9962/7879 is 17/6169257.