GCF of 2716/120, 3318/3913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2716/120, 3318/3913 i.e 14/469560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2716/120, 3318/3913.
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 2716/120,3318/3913?
Given fractions are 2716/120,3318/3913
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 2716/120,3318/3913, numerators are 2716,3318
Denominators are 120,3913
The GCF of 2716,3318 is 14 .
LCM of 120,3913 is 469560.
The greatest common factor of 2716/120,3318/3913 = [GCF of 2716,3318]/[LCM of 120,3913]= 14/469560
Therefore, the GCF of 2716/120,3318/3913 is 14/469560.
To find the highest common factor of 2716,3318, we have to find the factors of both numbers and list the highest common factor.
The factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716
The factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318
The HCF of 2716,3318 is 14.
Lets's calculate GCF of 2716,3318
| 2 | 2716, 3318 |
| 7 | 1358, 1659 |
| 194, 237 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2716,3318 By Matching Biggest Common Factor Method
Now, list down the factors of 2716
:1,2,4,7,14,28,97,194,388,679,1358,2716
Now, list down the factors of 3318
:1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318
Greatest Common Factor
We found the factors 2716,3318 . The biggest common factor number is the GCF number.
So the greatest common factor 2716,3318 is 14.
Lets's calculate LCM of 120,3913
Given numbers has no common factors except 1. So, there LCM is their product i.e 469560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/469560
Therefore, the GCF of Fractions 2716/120,3318/3913 is 14/469560
Least Common Multiple of 120,3913 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 120,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,3913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,3913) x common factors =1 x 1 = 1
LCM(120,3913) = ( 120 × 3913 ) / 1
LCM(120,3913) = 469560 / 1
LCM(120,3913) = 469560
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FAQs on GCF of Fractions of 2716/120, 3318/3913
1. What is the HCF of 2716,3318?
The HCF of 2716,3318 is 14
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 2716/120, 3318/3913?
Answer: GCF of Numerators as per given numbers 2716/120, 3318/3913 is
GCF of Numerators i.e. for 2716,3318 is 14
LCM of denominators i.e. for 120,3913 is 469560.
Thus, GCF of Fractions is 14/469560.Finally, GCF of Fractions for 2716/120, 3318/3913 is 14/469560.