GCF of 4726/214, 2108/8001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4726/214, 2108/8001 i.e 34/1712214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4726/214, 2108/8001.
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 4726/214,2108/8001?
Given fractions are 4726/214,2108/8001
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 4726/214,2108/8001, numerators are 4726,2108
Denominators are 214,8001
The GCF of 4726,2108 is 34 .
LCM of 214,8001 is 1712214.
The greatest common factor of 4726/214,2108/8001 = [GCF of 4726,2108]/[LCM of 214,8001]= 34/1712214
Therefore, the GCF of 4726/214,2108/8001 is 34/1712214.
To find the highest common factor of 4726,2108, we have to find the factors of both numbers and list the highest common factor.
The factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The HCF of 4726,2108 is 34.
Lets's calculate GCF of 4726,2108
| 2 | 4726, 2108 |
| 17 | 2363, 1054 |
| 139, 62 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 4726,2108 By Matching Biggest Common Factor Method
Now, list down the factors of 4726
:1,2,17,34,139,278,2363,4726
Now, list down the factors of 2108
:1,2,4,17,31,34,62,68,124,527,1054,2108
Greatest Common Factor
We found the factors 4726,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 4726,2108 is 34.
Lets's calculate LCM of 214,8001
Given numbers has no common factors except 1. So, there LCM is their product i.e 1712214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1712214
Therefore, the GCF of Fractions 4726/214,2108/8001 is 34/1712214
Least Common Multiple of 214,8001 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 214,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,8001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,8001) x common factors =1 x 1 = 1
LCM(214,8001) = ( 214 × 8001 ) / 1
LCM(214,8001) = 1712214 / 1
LCM(214,8001) = 1712214
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FAQs on GCF of Fractions of 4726/214, 2108/8001
1. What is the HCF of 4726,2108?
The HCF of 4726,2108 is 34
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 4726/214, 2108/8001?
Answer: GCF of Numerators as per given numbers 4726/214, 2108/8001 is
GCF of Numerators i.e. for 4726,2108 is 34
LCM of denominators i.e. for 214,8001 is 1712214.
Thus, GCF of Fractions is 34/1712214.Finally, GCF of Fractions for 4726/214, 2108/8001 is 34/1712214.