GCF of 6830/381, 9705/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6830/381, 9705/526 i.e 5/200406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6830/381, 9705/526.
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 6830/381,9705/526?
Given fractions are 6830/381,9705/526
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 6830/381,9705/526, numerators are 6830,9705
Denominators are 381,526
The GCF of 6830,9705 is 5 .
LCM of 381,526 is 200406.
The greatest common factor of 6830/381,9705/526 = [GCF of 6830,9705]/[LCM of 381,526]= 5/200406
Therefore, the GCF of 6830/381,9705/526 is 5/200406.
To find the highest common factor of 6830,9705, we have to find the factors of both numbers and list the highest common factor.
The factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830
The factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705
The HCF of 6830,9705 is 5.
Lets's calculate GCF of 6830,9705
| 5 | 6830, 9705 |
| 1366, 1941 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6830,9705 By Matching Biggest Common Factor Method
Now, list down the factors of 6830
:1,2,5,10,683,1366,3415,6830
Now, list down the factors of 9705
:1,3,5,15,647,1941,3235,9705
Greatest Common Factor
We found the factors 6830,9705 . The biggest common factor number is the GCF number.
So the greatest common factor 6830,9705 is 5.
Lets's calculate LCM of 381,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 200406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/200406
Therefore, the GCF of Fractions 6830/381,9705/526 is 5/200406
Least Common Multiple of 381,526 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 381,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,526) x common factors =1 x 1 = 1
LCM(381,526) = ( 381 × 526 ) / 1
LCM(381,526) = 200406 / 1
LCM(381,526) = 200406
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FAQs on GCF of Fractions of 6830/381, 9705/526
1. What is the HCF of 6830,9705?
The HCF of 6830,9705 is 5
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 6830/381, 9705/526?
Answer: GCF of Numerators as per given numbers 6830/381, 9705/526 is
GCF of Numerators i.e. for 6830,9705 is 5
LCM of denominators i.e. for 381,526 is 200406.
Thus, GCF of Fractions is 5/200406.Finally, GCF of Fractions for 6830/381, 9705/526 is 5/200406.