GCF of 8478/851, 9582/6303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8478/851, 9582/6303 i.e 6/5363853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8478/851, 9582/6303.
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 8478/851,9582/6303?
Given fractions are 8478/851,9582/6303
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 8478/851,9582/6303, numerators are 8478,9582
Denominators are 851,6303
The GCF of 8478,9582 is 6 .
LCM of 851,6303 is 5363853.
The greatest common factor of 8478/851,9582/6303 = [GCF of 8478,9582]/[LCM of 851,6303]= 6/5363853
Therefore, the GCF of 8478/851,9582/6303 is 6/5363853.
To find the highest common factor of 8478,9582, we have to find the factors of both numbers and list the highest common factor.
The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
The factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582
The HCF of 8478,9582 is 6.
Lets's calculate GCF of 8478,9582
| 2 | 8478, 9582 |
| 3 | 4239, 4791 |
| 1413, 1597 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8478,9582 By Matching Biggest Common Factor Method
Now, list down the factors of 8478
:1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Now, list down the factors of 9582
:1,2,3,6,1597,3194,4791,9582
Greatest Common Factor
We found the factors 8478,9582 . The biggest common factor number is the GCF number.
So the greatest common factor 8478,9582 is 6.
Lets's calculate LCM of 851,6303
Given numbers has no common factors except 1. So, there LCM is their product i.e 5363853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5363853
Therefore, the GCF of Fractions 8478/851,9582/6303 is 6/5363853
Least Common Multiple of 851,6303 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 851,6303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,6303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,6303) x common factors =1 x 1 = 1
LCM(851,6303) = ( 851 × 6303 ) / 1
LCM(851,6303) = 5363853 / 1
LCM(851,6303) = 5363853
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FAQs on GCF of Fractions of 8478/851, 9582/6303
1. What is the HCF of 8478,9582?
The HCF of 8478,9582 is 6
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 8478/851, 9582/6303?
Answer: GCF of Numerators as per given numbers 8478/851, 9582/6303 is
GCF of Numerators i.e. for 8478,9582 is 6
LCM of denominators i.e. for 851,6303 is 5363853.
Thus, GCF of Fractions is 6/5363853.Finally, GCF of Fractions for 8478/851, 9582/6303 is 6/5363853.