GCF of 8760/594, 7716/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8760/594, 7716/416 i.e 12/123552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8760/594, 7716/416.
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 8760/594,7716/416?
Given fractions are 8760/594,7716/416
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 8760/594,7716/416, numerators are 8760,7716
Denominators are 594,416
The GCF of 8760,7716 is 12 .
LCM of 594,416 is 123552.
The greatest common factor of 8760/594,7716/416 = [GCF of 8760,7716]/[LCM of 594,416]= 12/123552
Therefore, the GCF of 8760/594,7716/416 is 12/123552.
To find the highest common factor of 8760,7716, we have to find the factors of both numbers and list the highest common factor.
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716
The HCF of 8760,7716 is 12.
Lets's calculate GCF of 8760,7716
| 2 | 8760, 7716 |
| 2 | 4380, 3858 |
| 3 | 2190, 1929 |
| 730, 643 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8760,7716 By Matching Biggest Common Factor Method
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Now, list down the factors of 7716
:1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Greatest Common Factor
We found the factors 8760,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 8760,7716 is 12.
Lets's calculate LCM of 594,416
| 2 | 594, 416 |
| 297, 208 |
∴ So the LCM of the given numbers is 2 x 297 x 208 = 123552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/123552
Therefore, the GCF of Fractions 8760/594,7716/416 is 12/123552
Least Common Multiple of 594,416 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 594,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,416) x common factors =2 x 1 = 2
LCM(594,416) = ( 594 × 416 ) / 2
LCM(594,416) = 247104 / 2
LCM(594,416) = 123552
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8760/594, 7716/416
1. What is the HCF of 8760,7716?
The HCF of 8760,7716 is 12
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 8760/594, 7716/416?
Answer: GCF of Numerators as per given numbers 8760/594, 7716/416 is
GCF of Numerators i.e. for 8760,7716 is 12
LCM of denominators i.e. for 594,416 is 123552.
Thus, GCF of Fractions is 12/123552.Finally, GCF of Fractions for 8760/594, 7716/416 is 12/123552.