GCF of 1425/233, 6510/9685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1425/233, 6510/9685 i.e 15/2256605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1425/233, 6510/9685.
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 1425/233,6510/9685?
Given fractions are 1425/233,6510/9685
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 1425/233,6510/9685, numerators are 1425,6510
Denominators are 233,9685
The GCF of 1425,6510 is 15 .
LCM of 233,9685 is 2256605.
The greatest common factor of 1425/233,6510/9685 = [GCF of 1425,6510]/[LCM of 233,9685]= 15/2256605
Therefore, the GCF of 1425/233,6510/9685 is 15/2256605.
To find the highest common factor of 1425,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 1425,6510 is 15.
Lets's calculate GCF of 1425,6510
| 3 | 1425, 6510 |
| 5 | 475, 2170 |
| 95, 434 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1425,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 1425
:1,3,5,15,19,25,57,75,95,285,475,1425
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 1425,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,6510 is 15.
Lets's calculate LCM of 233,9685
Given numbers has no common factors except 1. So, there LCM is their product i.e 2256605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2256605
Therefore, the GCF of Fractions 1425/233,6510/9685 is 15/2256605
Least Common Multiple of 233,9685 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 233,9685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,9685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,9685) x common factors =1 x 1 = 1
LCM(233,9685) = ( 233 × 9685 ) / 1
LCM(233,9685) = 2256605 / 1
LCM(233,9685) = 2256605
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FAQs on GCF of Fractions of 1425/233, 6510/9685
1. What is the HCF of 1425,6510?
The HCF of 1425,6510 is 15
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 1425/233, 6510/9685?
Answer: GCF of Numerators as per given numbers 1425/233, 6510/9685 is
GCF of Numerators i.e. for 1425,6510 is 15
LCM of denominators i.e. for 233,9685 is 2256605.
Thus, GCF of Fractions is 15/2256605.Finally, GCF of Fractions for 1425/233, 6510/9685 is 15/2256605.