GCF of 3693/620, 9912/3419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3693/620, 9912/3419 i.e 3/2119780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3693/620, 9912/3419.
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 3693/620,9912/3419?
Given fractions are 3693/620,9912/3419
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 3693/620,9912/3419, numerators are 3693,9912
Denominators are 620,3419
The GCF of 3693,9912 is 3 .
LCM of 620,3419 is 2119780.
The greatest common factor of 3693/620,9912/3419 = [GCF of 3693,9912]/[LCM of 620,3419]= 3/2119780
Therefore, the GCF of 3693/620,9912/3419 is 3/2119780.
To find the highest common factor of 3693,9912, we have to find the factors of both numbers and list the highest common factor.
The factors of 3693 are 1, 3, 1231, 3693
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912
The HCF of 3693,9912 is 3.
Lets's calculate GCF of 3693,9912
| 3 | 3693, 9912 |
| 1231, 3304 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3693,9912 By Matching Biggest Common Factor Method
Now, list down the factors of 3693
:1,3,1231,3693
Now, list down the factors of 9912
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Greatest Common Factor
We found the factors 3693,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 3693,9912 is 3.
Lets's calculate LCM of 620,3419
Given numbers has no common factors except 1. So, there LCM is their product i.e 2119780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2119780
Therefore, the GCF of Fractions 3693/620,9912/3419 is 3/2119780
Least Common Multiple of 620,3419 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 620,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,3419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,3419) x common factors =1 x 1 = 1
LCM(620,3419) = ( 620 × 3419 ) / 1
LCM(620,3419) = 2119780 / 1
LCM(620,3419) = 2119780
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FAQs on GCF of Fractions of 3693/620, 9912/3419
1. What is the HCF of 3693,9912?
The HCF of 3693,9912 is 3
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 3693/620, 9912/3419?
Answer: GCF of Numerators as per given numbers 3693/620, 9912/3419 is
GCF of Numerators i.e. for 3693,9912 is 3
LCM of denominators i.e. for 620,3419 is 2119780.
Thus, GCF of Fractions is 3/2119780.Finally, GCF of Fractions for 3693/620, 9912/3419 is 3/2119780.