GCF of 9810/455, 6213/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9810/455, 6213/750 i.e 327/68250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9810/455, 6213/750.
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 9810/455,6213/750?
Given fractions are 9810/455,6213/750
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 9810/455,6213/750, numerators are 9810,6213
Denominators are 455,750
The GCF of 9810,6213 is 327 .
LCM of 455,750 is 68250.
The greatest common factor of 9810/455,6213/750 = [GCF of 9810,6213]/[LCM of 455,750]= 327/68250
Therefore, the GCF of 9810/455,6213/750 is 327/68250.
To find the highest common factor of 9810,6213, we have to find the factors of both numbers and list the highest common factor.
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
The factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213
The HCF of 9810,6213 is 327.
Lets's calculate GCF of 9810,6213
| 3 | 9810, 6213 |
| 109 | 3270, 2071 |
| 30, 19 |
∴ So the GCF of the given numbers is 3 x 109 = 327
Greatest Common Factor of 9810,6213 By Matching Biggest Common Factor Method
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Now, list down the factors of 6213
:1,3,19,57,109,327,2071,6213
Greatest Common Factor
We found the factors 9810,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 9810,6213 is 327.
Lets's calculate LCM of 455,750
| 5 | 455, 750 |
| 91, 150 |
∴ So the LCM of the given numbers is 5 x 91 x 150 = 68250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 327/68250
Therefore, the GCF of Fractions 9810/455,6213/750 is 327/68250
Least Common Multiple of 455,750 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 455,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,750) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(455,750) x common factors =5 x 1 = 5
LCM(455,750) = ( 455 × 750 ) / 5
LCM(455,750) = 341250 / 5
LCM(455,750) = 68250
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FAQs on GCF of Fractions of 9810/455, 6213/750
1. What is the HCF of 9810,6213?
The HCF of 9810,6213 is 327
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 9810/455, 6213/750?
Answer: GCF of Numerators as per given numbers 9810/455, 6213/750 is
GCF of Numerators i.e. for 9810,6213 is 327
LCM of denominators i.e. for 455,750 is 68250.
Thus, GCF of Fractions is 327/68250.Finally, GCF of Fractions for 9810/455, 6213/750 is 327/68250.