GCF of 6313/990, 7375/2022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6313/990, 7375/2022 i.e 59/333630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6313/990, 7375/2022.
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 6313/990,7375/2022?
Given fractions are 6313/990,7375/2022
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 6313/990,7375/2022, numerators are 6313,7375
Denominators are 990,2022
The GCF of 6313,7375 is 59 .
LCM of 990,2022 is 333630.
The greatest common factor of 6313/990,7375/2022 = [GCF of 6313,7375]/[LCM of 990,2022]= 59/333630
Therefore, the GCF of 6313/990,7375/2022 is 59/333630.
To find the highest common factor of 6313,7375, we have to find the factors of both numbers and list the highest common factor.
The factors of 6313 are 1, 59, 107, 6313
The factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375
The HCF of 6313,7375 is 59.
Lets's calculate GCF of 6313,7375
| 59 | 6313, 7375 |
| 107, 125 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 6313,7375 By Matching Biggest Common Factor Method
Now, list down the factors of 6313
:1,59,107,6313
Now, list down the factors of 7375
:1,5,25,59,125,295,1475,7375
Greatest Common Factor
We found the factors 6313,7375 . The biggest common factor number is the GCF number.
So the greatest common factor 6313,7375 is 59.
Lets's calculate LCM of 990,2022
| 2 | 990, 2022 |
| 3 | 495, 1011 |
| 165, 337 |
∴ So the LCM of the given numbers is 2 x 3 x 165 x 337 = 333630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/333630
Therefore, the GCF of Fractions 6313/990,7375/2022 is 59/333630
Least Common Multiple of 990,2022 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 990,2022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,2022) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(990,2022) x common factors =6 x 1 = 6
LCM(990,2022) = ( 990 × 2022 ) / 6
LCM(990,2022) = 2001780 / 6
LCM(990,2022) = 333630
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FAQs on GCF of Fractions of 6313/990, 7375/2022
1. What is the HCF of 6313,7375?
The HCF of 6313,7375 is 59
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 6313/990, 7375/2022?
Answer: GCF of Numerators as per given numbers 6313/990, 7375/2022 is
GCF of Numerators i.e. for 6313,7375 is 59
LCM of denominators i.e. for 990,2022 is 333630.
Thus, GCF of Fractions is 59/333630.Finally, GCF of Fractions for 6313/990, 7375/2022 is 59/333630.