GCF of 4216/329, 3418/5102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4216/329, 3418/5102 i.e 2/1678558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4216/329, 3418/5102.
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 4216/329,3418/5102?
Given fractions are 4216/329,3418/5102
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 4216/329,3418/5102, numerators are 4216,3418
Denominators are 329,5102
The GCF of 4216,3418 is 2 .
LCM of 329,5102 is 1678558.
The greatest common factor of 4216/329,3418/5102 = [GCF of 4216,3418]/[LCM of 329,5102]= 2/1678558
Therefore, the GCF of 4216/329,3418/5102 is 2/1678558.
To find the highest common factor of 4216,3418, we have to find the factors of both numbers and list the highest common factor.
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The factors of 3418 are 1, 2, 1709, 3418
The HCF of 4216,3418 is 2.
Lets's calculate GCF of 4216,3418
| 2 | 4216, 3418 |
| 2108, 1709 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4216,3418 By Matching Biggest Common Factor Method
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Now, list down the factors of 3418
:1,2,1709,3418
Greatest Common Factor
We found the factors 4216,3418 . The biggest common factor number is the GCF number.
So the greatest common factor 4216,3418 is 2.
Lets's calculate LCM of 329,5102
Given numbers has no common factors except 1. So, there LCM is their product i.e 1678558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1678558
Therefore, the GCF of Fractions 4216/329,3418/5102 is 2/1678558
Least Common Multiple of 329,5102 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 329,5102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,5102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,5102) x common factors =1 x 1 = 1
LCM(329,5102) = ( 329 × 5102 ) / 1
LCM(329,5102) = 1678558 / 1
LCM(329,5102) = 1678558
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FAQs on GCF of Fractions of 4216/329, 3418/5102
1. What is the HCF of 4216,3418?
The HCF of 4216,3418 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 4216/329, 3418/5102?
Answer: GCF of Numerators as per given numbers 4216/329, 3418/5102 is
GCF of Numerators i.e. for 4216,3418 is 2
LCM of denominators i.e. for 329,5102 is 1678558.
Thus, GCF of Fractions is 2/1678558.Finally, GCF of Fractions for 4216/329, 3418/5102 is 2/1678558.