GCF of 5217/378, 2108/6214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5217/378, 2108/6214 i.e 1/1174446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5217/378, 2108/6214.
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 5217/378,2108/6214?
Given fractions are 5217/378,2108/6214
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 5217/378,2108/6214, numerators are 5217,2108
Denominators are 378,6214
The GCF of 5217,2108 is 1 .
LCM of 378,6214 is 1174446.
The greatest common factor of 5217/378,2108/6214 = [GCF of 5217,2108]/[LCM of 378,6214]= 1/1174446
Therefore, the GCF of 5217/378,2108/6214 is 1/1174446.
To find the highest common factor of 5217,2108, we have to find the factors of both numbers and list the highest common factor.
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The HCF of 5217,2108 is 1.
Lets's calculate GCF of 5217,2108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5217,2108 By Matching Biggest Common Factor Method
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
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 5217,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,2108 is 1.
Lets's calculate LCM of 378,6214
| 2 | 378, 6214 |
| 189, 3107 |
∴ So the LCM of the given numbers is 2 x 189 x 3107 = 1174446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1174446
Therefore, the GCF of Fractions 5217/378,2108/6214 is 1/1174446
Least Common Multiple of 378,6214 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 378,6214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,6214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,6214) x common factors =2 x 1 = 2
LCM(378,6214) = ( 378 × 6214 ) / 2
LCM(378,6214) = 2348892 / 2
LCM(378,6214) = 1174446
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FAQs on GCF of Fractions of 5217/378, 2108/6214
1. What is the HCF of 5217,2108?
The HCF of 5217,2108 is 1
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 5217/378, 2108/6214?
Answer: GCF of Numerators as per given numbers 5217/378, 2108/6214 is
GCF of Numerators i.e. for 5217,2108 is 1
LCM of denominators i.e. for 378,6214 is 1174446.
Thus, GCF of Fractions is 1/1174446.Finally, GCF of Fractions for 5217/378, 2108/6214 is 1/1174446.