GCF of 260/40, 850/9504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 260/40, 850/9504 i.e 10/47520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 260/40, 850/9504.
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 260/40,850/9504?
Given fractions are 260/40,850/9504
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 260/40,850/9504, numerators are 260,850
Denominators are 40,9504
The GCF of 260,850 is 10 .
LCM of 40,9504 is 47520.
The greatest common factor of 260/40,850/9504 = [GCF of 260,850]/[LCM of 40,9504]= 10/47520
Therefore, the GCF of 260/40,850/9504 is 10/47520.
To find the highest common factor of 260,850, we have to find the factors of both numbers and list the highest common factor.
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The HCF of 260,850 is 10.
Lets's calculate GCF of 260,850
| 2 | 260, 850 |
| 5 | 130, 425 |
| 26, 85 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 260,850 By Matching Biggest Common Factor Method
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 260,850 . The biggest common factor number is the GCF number.
So the greatest common factor 260,850 is 10.
Lets's calculate LCM of 40,9504
| 2 | 40, 9504 |
| 2 | 20, 4752 |
| 2 | 10, 2376 |
| 5, 1188 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1188 = 47520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47520
Therefore, the GCF of Fractions 260/40,850/9504 is 10/47520
Least Common Multiple of 40,9504 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 40,9504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,9504) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(40,9504) x common factors =8 x 1 = 8
LCM(40,9504) = ( 40 × 9504 ) / 8
LCM(40,9504) = 380160 / 8
LCM(40,9504) = 47520
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FAQs on GCF of Fractions of 260/40, 850/9504
1. What is the HCF of 260,850?
The HCF of 260,850 is 10
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 260/40, 850/9504?
Answer: GCF of Numerators as per given numbers 260/40, 850/9504 is
GCF of Numerators i.e. for 260,850 is 10
LCM of denominators i.e. for 40,9504 is 47520.
Thus, GCF of Fractions is 10/47520.Finally, GCF of Fractions for 260/40, 850/9504 is 10/47520.