GCF of 4606/924, 8022/6217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4606/924, 8022/6217 i.e 14/5744508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4606/924, 8022/6217.
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 4606/924,8022/6217?
Given fractions are 4606/924,8022/6217
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 4606/924,8022/6217, numerators are 4606,8022
Denominators are 924,6217
The GCF of 4606,8022 is 14 .
LCM of 924,6217 is 5744508.
The greatest common factor of 4606/924,8022/6217 = [GCF of 4606,8022]/[LCM of 924,6217]= 14/5744508
Therefore, the GCF of 4606/924,8022/6217 is 14/5744508.
To find the highest common factor of 4606,8022, we have to find the factors of both numbers and list the highest common factor.
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
The HCF of 4606,8022 is 14.
Lets's calculate GCF of 4606,8022
| 2 | 4606, 8022 |
| 7 | 2303, 4011 |
| 329, 573 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4606,8022 By Matching Biggest Common Factor Method
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Now, list down the factors of 8022
:1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Greatest Common Factor
We found the factors 4606,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 4606,8022 is 14.
Lets's calculate LCM of 924,6217
Given numbers has no common factors except 1. So, there LCM is their product i.e 5744508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/5744508
Therefore, the GCF of Fractions 4606/924,8022/6217 is 14/5744508
Least Common Multiple of 924,6217 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 924,6217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,6217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,6217) x common factors =1 x 1 = 1
LCM(924,6217) = ( 924 × 6217 ) / 1
LCM(924,6217) = 5744508 / 1
LCM(924,6217) = 5744508
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FAQs on GCF of Fractions of 4606/924, 8022/6217
1. What is the HCF of 4606,8022?
The HCF of 4606,8022 is 14
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 4606/924, 8022/6217?
Answer: GCF of Numerators as per given numbers 4606/924, 8022/6217 is
GCF of Numerators i.e. for 4606,8022 is 14
LCM of denominators i.e. for 924,6217 is 5744508.
Thus, GCF of Fractions is 14/5744508.Finally, GCF of Fractions for 4606/924, 8022/6217 is 14/5744508.