GCF of 8428/410, 4216/3860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8428/410, 4216/3860 i.e 4/158260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8428/410, 4216/3860.
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 8428/410,4216/3860?
Given fractions are 8428/410,4216/3860
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 8428/410,4216/3860, numerators are 8428,4216
Denominators are 410,3860
The GCF of 8428,4216 is 4 .
LCM of 410,3860 is 158260.
The greatest common factor of 8428/410,4216/3860 = [GCF of 8428,4216]/[LCM of 410,3860]= 4/158260
Therefore, the GCF of 8428/410,4216/3860 is 4/158260.
To find the highest common factor of 8428,4216, we have to find the factors of both numbers and list the highest common factor.
The factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The HCF of 8428,4216 is 4.
Lets's calculate GCF of 8428,4216
| 2 | 8428, 4216 |
| 2 | 4214, 2108 |
| 2107, 1054 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8428,4216 By Matching Biggest Common Factor Method
Now, list down the factors of 8428
:1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Greatest Common Factor
We found the factors 8428,4216 . The biggest common factor number is the GCF number.
So the greatest common factor 8428,4216 is 4.
Lets's calculate LCM of 410,3860
| 2 | 410, 3860 |
| 5 | 205, 1930 |
| 41, 386 |
∴ So the LCM of the given numbers is 2 x 5 x 41 x 386 = 158260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/158260
Therefore, the GCF of Fractions 8428/410,4216/3860 is 4/158260
Least Common Multiple of 410,3860 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 410,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,3860) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(410,3860) x common factors =10 x 1 = 10
LCM(410,3860) = ( 410 × 3860 ) / 10
LCM(410,3860) = 1582600 / 10
LCM(410,3860) = 158260
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FAQs on GCF of Fractions of 8428/410, 4216/3860
1. What is the HCF of 8428,4216?
The HCF of 8428,4216 is 4
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 8428/410, 4216/3860?
Answer: GCF of Numerators as per given numbers 8428/410, 4216/3860 is
GCF of Numerators i.e. for 8428,4216 is 4
LCM of denominators i.e. for 410,3860 is 158260.
Thus, GCF of Fractions is 4/158260.Finally, GCF of Fractions for 8428/410, 4216/3860 is 4/158260.