GCF of 9260/120, 6570/4766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9260/120, 6570/4766 i.e 10/285960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9260/120, 6570/4766.
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 9260/120,6570/4766?
Given fractions are 9260/120,6570/4766
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 9260/120,6570/4766, numerators are 9260,6570
Denominators are 120,4766
The GCF of 9260,6570 is 10 .
LCM of 120,4766 is 285960.
The greatest common factor of 9260/120,6570/4766 = [GCF of 9260,6570]/[LCM of 120,4766]= 10/285960
Therefore, the GCF of 9260/120,6570/4766 is 10/285960.
To find the highest common factor of 9260,6570, we have to find the factors of both numbers and list the highest common factor.
The factors of 9260 are 1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260
The factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The HCF of 9260,6570 is 10.
Lets's calculate GCF of 9260,6570
| 2 | 9260, 6570 |
| 5 | 4630, 3285 |
| 926, 657 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9260,6570 By Matching Biggest Common Factor Method
Now, list down the factors of 9260
:1,2,4,5,10,20,463,926,1852,2315,4630,9260
Now, list down the factors of 6570
:1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Greatest Common Factor
We found the factors 9260,6570 . The biggest common factor number is the GCF number.
So the greatest common factor 9260,6570 is 10.
Lets's calculate LCM of 120,4766
| 2 | 120, 4766 |
| 60, 2383 |
∴ So the LCM of the given numbers is 2 x 60 x 2383 = 285960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/285960
Therefore, the GCF of Fractions 9260/120,6570/4766 is 10/285960
Least Common Multiple of 120,4766 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 120,4766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,4766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(120,4766) x common factors =2 x 1 = 2
LCM(120,4766) = ( 120 × 4766 ) / 2
LCM(120,4766) = 571920 / 2
LCM(120,4766) = 285960
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FAQs on GCF of Fractions of 9260/120, 6570/4766
1. What is the HCF of 9260,6570?
The HCF of 9260,6570 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 9260/120, 6570/4766?
Answer: GCF of Numerators as per given numbers 9260/120, 6570/4766 is
GCF of Numerators i.e. for 9260,6570 is 10
LCM of denominators i.e. for 120,4766 is 285960.
Thus, GCF of Fractions is 10/285960.Finally, GCF of Fractions for 9260/120, 6570/4766 is 10/285960.