GCF of 6022/417, 6224/7348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6022/417, 6224/7348 i.e 2/3064116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6022/417, 6224/7348.
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 6022/417,6224/7348?
Given fractions are 6022/417,6224/7348
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 6022/417,6224/7348, numerators are 6022,6224
Denominators are 417,7348
The GCF of 6022,6224 is 2 .
LCM of 417,7348 is 3064116.
The greatest common factor of 6022/417,6224/7348 = [GCF of 6022,6224]/[LCM of 417,7348]= 2/3064116
Therefore, the GCF of 6022/417,6224/7348 is 2/3064116.
To find the highest common factor of 6022,6224, we have to find the factors of both numbers and list the highest common factor.
The factors of 6022 are 1, 2, 3011, 6022
The factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224
The HCF of 6022,6224 is 2.
Lets's calculate GCF of 6022,6224
| 2 | 6022, 6224 |
| 3011, 3112 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6022,6224 By Matching Biggest Common Factor Method
Now, list down the factors of 6022
:1,2,3011,6022
Now, list down the factors of 6224
:1,2,4,8,16,389,778,1556,3112,6224
Greatest Common Factor
We found the factors 6022,6224 . The biggest common factor number is the GCF number.
So the greatest common factor 6022,6224 is 2.
Lets's calculate LCM of 417,7348
Given numbers has no common factors except 1. So, there LCM is their product i.e 3064116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3064116
Therefore, the GCF of Fractions 6022/417,6224/7348 is 2/3064116
Least Common Multiple of 417,7348 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 417,7348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,7348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,7348) x common factors =1 x 1 = 1
LCM(417,7348) = ( 417 × 7348 ) / 1
LCM(417,7348) = 3064116 / 1
LCM(417,7348) = 3064116
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FAQs on GCF of Fractions of 6022/417, 6224/7348
1. What is the HCF of 6022,6224?
The HCF of 6022,6224 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 6022/417, 6224/7348?
Answer: GCF of Numerators as per given numbers 6022/417, 6224/7348 is
GCF of Numerators i.e. for 6022,6224 is 2
LCM of denominators i.e. for 417,7348 is 3064116.
Thus, GCF of Fractions is 2/3064116.Finally, GCF of Fractions for 6022/417, 6224/7348 is 2/3064116.