GCF of 2390/624, 8250/5007
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2390/624, 8250/5007 i.e 10/1041456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2390/624, 8250/5007.
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 2390/624,8250/5007?
Given fractions are 2390/624,8250/5007
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 2390/624,8250/5007, numerators are 2390,8250
Denominators are 624,5007
The GCF of 2390,8250 is 10 .
LCM of 624,5007 is 1041456.
The greatest common factor of 2390/624,8250/5007 = [GCF of 2390,8250]/[LCM of 624,5007]= 10/1041456
Therefore, the GCF of 2390/624,8250/5007 is 10/1041456.
To find the highest common factor of 2390,8250, we have to find the factors of both numbers and list the highest common factor.
The factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The HCF of 2390,8250 is 10.
Lets's calculate GCF of 2390,8250
| 2 | 2390, 8250 |
| 5 | 1195, 4125 |
| 239, 825 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2390,8250 By Matching Biggest Common Factor Method
Now, list down the factors of 2390
:1,2,5,10,239,478,1195,2390
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Greatest Common Factor
We found the factors 2390,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 2390,8250 is 10.
Lets's calculate LCM of 624,5007
| 3 | 624, 5007 |
| 208, 1669 |
∴ So the LCM of the given numbers is 3 x 208 x 1669 = 1041456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1041456
Therefore, the GCF of Fractions 2390/624,8250/5007 is 10/1041456
Least Common Multiple of 624,5007 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 624,5007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5007) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5007) x common factors =3 x 1 = 3
LCM(624,5007) = ( 624 × 5007 ) / 3
LCM(624,5007) = 3124368 / 3
LCM(624,5007) = 1041456
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2390/624, 8250/5007
1. What is the HCF of 2390,8250?
The HCF of 2390,8250 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 2390/624, 8250/5007?
Answer: GCF of Numerators as per given numbers 2390/624, 8250/5007 is
GCF of Numerators i.e. for 2390,8250 is 10
LCM of denominators i.e. for 624,5007 is 1041456.
Thus, GCF of Fractions is 10/1041456.Finally, GCF of Fractions for 2390/624, 8250/5007 is 10/1041456.