GCF of 8696/772, 9711/7178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8696/772, 9711/7178 i.e 1/2770708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8696/772, 9711/7178.
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 8696/772,9711/7178?
Given fractions are 8696/772,9711/7178
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 8696/772,9711/7178, numerators are 8696,9711
Denominators are 772,7178
The GCF of 8696,9711 is 1 .
LCM of 772,7178 is 2770708.
The greatest common factor of 8696/772,9711/7178 = [GCF of 8696,9711]/[LCM of 772,7178]= 1/2770708
Therefore, the GCF of 8696/772,9711/7178 is 1/2770708.
To find the highest common factor of 8696,9711, we have to find the factors of both numbers and list the highest common factor.
The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The HCF of 8696,9711 is 1.
Lets's calculate GCF of 8696,9711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8696,9711 By Matching Biggest Common Factor Method
Now, list down the factors of 8696
:1,2,4,8,1087,2174,4348,8696
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Greatest Common Factor
We found the factors 8696,9711 . The biggest common factor number is the GCF number.
So the greatest common factor 8696,9711 is 1.
Lets's calculate LCM of 772,7178
| 2 | 772, 7178 |
| 386, 3589 |
∴ So the LCM of the given numbers is 2 x 386 x 3589 = 2770708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2770708
Therefore, the GCF of Fractions 8696/772,9711/7178 is 1/2770708
Least Common Multiple of 772,7178 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 772,7178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,7178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,7178) x common factors =2 x 1 = 2
LCM(772,7178) = ( 772 × 7178 ) / 2
LCM(772,7178) = 5541416 / 2
LCM(772,7178) = 2770708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8696/772, 9711/7178
1. What is the HCF of 8696,9711?
The HCF of 8696,9711 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 8696/772, 9711/7178?
Answer: GCF of Numerators as per given numbers 8696/772, 9711/7178 is
GCF of Numerators i.e. for 8696,9711 is 1
LCM of denominators i.e. for 772,7178 is 2770708.
Thus, GCF of Fractions is 1/2770708.Finally, GCF of Fractions for 8696/772, 9711/7178 is 1/2770708.