GCF of 4758/217, 8690/1859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4758/217, 8690/1859 i.e 2/403403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4758/217, 8690/1859.
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 4758/217,8690/1859?
Given fractions are 4758/217,8690/1859
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 4758/217,8690/1859, numerators are 4758,8690
Denominators are 217,1859
The GCF of 4758,8690 is 2 .
LCM of 217,1859 is 403403.
The greatest common factor of 4758/217,8690/1859 = [GCF of 4758,8690]/[LCM of 217,1859]= 2/403403
Therefore, the GCF of 4758/217,8690/1859 is 2/403403.
To find the highest common factor of 4758,8690, we have to find the factors of both numbers and list the highest common factor.
The factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758
The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
The HCF of 4758,8690 is 2.
Lets's calculate GCF of 4758,8690
| 2 | 4758, 8690 |
| 2379, 4345 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4758,8690 By Matching Biggest Common Factor Method
Now, list down the factors of 4758
:1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758
Now, list down the factors of 8690
:1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690
Greatest Common Factor
We found the factors 4758,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 4758,8690 is 2.
Lets's calculate LCM of 217,1859
Given numbers has no common factors except 1. So, there LCM is their product i.e 403403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/403403
Therefore, the GCF of Fractions 4758/217,8690/1859 is 2/403403
Least Common Multiple of 217,1859 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 217,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,1859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,1859) x common factors =1 x 1 = 1
LCM(217,1859) = ( 217 × 1859 ) / 1
LCM(217,1859) = 403403 / 1
LCM(217,1859) = 403403
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FAQs on GCF of Fractions of 4758/217, 8690/1859
1. What is the HCF of 4758,8690?
The HCF of 4758,8690 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 4758/217, 8690/1859?
Answer: GCF of Numerators as per given numbers 4758/217, 8690/1859 is
GCF of Numerators i.e. for 4758,8690 is 2
LCM of denominators i.e. for 217,1859 is 403403.
Thus, GCF of Fractions is 2/403403.Finally, GCF of Fractions for 4758/217, 8690/1859 is 2/403403.