GCF of 968/470, 560/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 968/470, 560/415 i.e 8/39010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/470, 560/415.
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 968/470,560/415?
Given fractions are 968/470,560/415
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 968/470,560/415, numerators are 968,560
Denominators are 470,415
The GCF of 968,560 is 8 .
LCM of 470,415 is 39010.
The greatest common factor of 968/470,560/415 = [GCF of 968,560]/[LCM of 470,415]= 8/39010
Therefore, the GCF of 968/470,560/415 is 8/39010.
To find the highest common factor of 968,560, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The HCF of 968,560 is 8.
Lets's calculate GCF of 968,560
| 2 | 968, 560 |
| 2 | 484, 280 |
| 2 | 242, 140 |
| 121, 70 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 968,560 By Matching Biggest Common Factor Method
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 968,560 . The biggest common factor number is the GCF number.
So the greatest common factor 968,560 is 8.
Lets's calculate LCM of 470,415
| 5 | 470, 415 |
| 94, 83 |
∴ So the LCM of the given numbers is 5 x 94 x 83 = 39010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/39010
Therefore, the GCF of Fractions 968/470,560/415 is 8/39010
Least Common Multiple of 470,415 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 470,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(470,415) x common factors =5 x 1 = 5
LCM(470,415) = ( 470 × 415 ) / 5
LCM(470,415) = 195050 / 5
LCM(470,415) = 39010
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FAQs on GCF of Fractions of 968/470, 560/415
1. What is the HCF of 968,560?
The HCF of 968,560 is 8
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 968/470, 560/415?
Answer: GCF of Numerators as per given numbers 968/470, 560/415 is
GCF of Numerators i.e. for 968,560 is 8
LCM of denominators i.e. for 470,415 is 39010.
Thus, GCF of Fractions is 8/39010.Finally, GCF of Fractions for 968/470, 560/415 is 8/39010.