GCF of 6220/830, 9310/4684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6220/830, 9310/4684 i.e 10/1943860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6220/830, 9310/4684.
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 6220/830,9310/4684?
Given fractions are 6220/830,9310/4684
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 6220/830,9310/4684, numerators are 6220,9310
Denominators are 830,4684
The GCF of 6220,9310 is 10 .
LCM of 830,4684 is 1943860.
The greatest common factor of 6220/830,9310/4684 = [GCF of 6220,9310]/[LCM of 830,4684]= 10/1943860
Therefore, the GCF of 6220/830,9310/4684 is 10/1943860.
To find the highest common factor of 6220,9310, we have to find the factors of both numbers and list the highest common factor.
The factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220
The factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310
The HCF of 6220,9310 is 10.
Lets's calculate GCF of 6220,9310
| 2 | 6220, 9310 |
| 5 | 3110, 4655 |
| 622, 931 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6220,9310 By Matching Biggest Common Factor Method
Now, list down the factors of 6220
:1,2,4,5,10,20,311,622,1244,1555,3110,6220
Now, list down the factors of 9310
:1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310
Greatest Common Factor
We found the factors 6220,9310 . The biggest common factor number is the GCF number.
So the greatest common factor 6220,9310 is 10.
Lets's calculate LCM of 830,4684
| 2 | 830, 4684 |
| 415, 2342 |
∴ So the LCM of the given numbers is 2 x 415 x 2342 = 1943860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1943860
Therefore, the GCF of Fractions 6220/830,9310/4684 is 10/1943860
Least Common Multiple of 830,4684 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 830,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,4684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,4684) x common factors =2 x 1 = 2
LCM(830,4684) = ( 830 × 4684 ) / 2
LCM(830,4684) = 3887720 / 2
LCM(830,4684) = 1943860
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FAQs on GCF of Fractions of 6220/830, 9310/4684
1. What is the HCF of 6220,9310?
The HCF of 6220,9310 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 6220/830, 9310/4684?
Answer: GCF of Numerators as per given numbers 6220/830, 9310/4684 is
GCF of Numerators i.e. for 6220,9310 is 10
LCM of denominators i.e. for 830,4684 is 1943860.
Thus, GCF of Fractions is 10/1943860.Finally, GCF of Fractions for 6220/830, 9310/4684 is 10/1943860.