GCF of 3318/119, 3710/9613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3318/119, 3710/9613 i.e 14/1143947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3318/119, 3710/9613.
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 3318/119,3710/9613?
Given fractions are 3318/119,3710/9613
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 3318/119,3710/9613, numerators are 3318,3710
Denominators are 119,9613
The GCF of 3318,3710 is 14 .
LCM of 119,9613 is 1143947.
The greatest common factor of 3318/119,3710/9613 = [GCF of 3318,3710]/[LCM of 119,9613]= 14/1143947
Therefore, the GCF of 3318/119,3710/9613 is 14/1143947.
To find the highest common factor of 3318,3710, we have to find the factors of both numbers and list the highest common factor.
The factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The HCF of 3318,3710 is 14.
Lets's calculate GCF of 3318,3710
| 2 | 3318, 3710 |
| 7 | 1659, 1855 |
| 237, 265 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3318,3710 By Matching Biggest Common Factor Method
Now, list down the factors of 3318
:1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Greatest Common Factor
We found the factors 3318,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 3318,3710 is 14.
Lets's calculate LCM of 119,9613
Given numbers has no common factors except 1. So, there LCM is their product i.e 1143947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1143947
Therefore, the GCF of Fractions 3318/119,3710/9613 is 14/1143947
Least Common Multiple of 119,9613 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 119,9613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,9613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,9613) x common factors =1 x 1 = 1
LCM(119,9613) = ( 119 × 9613 ) / 1
LCM(119,9613) = 1143947 / 1
LCM(119,9613) = 1143947
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FAQs on GCF of Fractions of 3318/119, 3710/9613
1. What is the HCF of 3318,3710?
The HCF of 3318,3710 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 3318/119, 3710/9613?
Answer: GCF of Numerators as per given numbers 3318/119, 3710/9613 is
GCF of Numerators i.e. for 3318,3710 is 14
LCM of denominators i.e. for 119,9613 is 1143947.
Thus, GCF of Fractions is 14/1143947.Finally, GCF of Fractions for 3318/119, 3710/9613 is 14/1143947.