GCF of 6262/330, 9040/6206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6262/330, 9040/6206 i.e 2/1023990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6262/330, 9040/6206.
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 6262/330,9040/6206?
Given fractions are 6262/330,9040/6206
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 6262/330,9040/6206, numerators are 6262,9040
Denominators are 330,6206
The GCF of 6262,9040 is 2 .
LCM of 330,6206 is 1023990.
The greatest common factor of 6262/330,9040/6206 = [GCF of 6262,9040]/[LCM of 330,6206]= 2/1023990
Therefore, the GCF of 6262/330,9040/6206 is 2/1023990.
To find the highest common factor of 6262,9040, we have to find the factors of both numbers and list the highest common factor.
The factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The HCF of 6262,9040 is 2.
Lets's calculate GCF of 6262,9040
| 2 | 6262, 9040 |
| 3131, 4520 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6262,9040 By Matching Biggest Common Factor Method
Now, list down the factors of 6262
:1,2,31,62,101,202,3131,6262
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 6262,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,9040 is 2.
Lets's calculate LCM of 330,6206
| 2 | 330, 6206 |
| 165, 3103 |
∴ So the LCM of the given numbers is 2 x 165 x 3103 = 1023990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1023990
Therefore, the GCF of Fractions 6262/330,9040/6206 is 2/1023990
Least Common Multiple of 330,6206 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 330,6206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6206) x common factors =2 x 1 = 2
LCM(330,6206) = ( 330 × 6206 ) / 2
LCM(330,6206) = 2047980 / 2
LCM(330,6206) = 1023990
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FAQs on GCF of Fractions of 6262/330, 9040/6206
1. What is the HCF of 6262,9040?
The HCF of 6262,9040 is 2
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 6262/330, 9040/6206?
Answer: GCF of Numerators as per given numbers 6262/330, 9040/6206 is
GCF of Numerators i.e. for 6262,9040 is 2
LCM of denominators i.e. for 330,6206 is 1023990.
Thus, GCF of Fractions is 2/1023990.Finally, GCF of Fractions for 6262/330, 9040/6206 is 2/1023990.