GCF of 3906/362, 9972/7419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3906/362, 9972/7419 i.e 18/2685678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3906/362, 9972/7419.
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 3906/362,9972/7419?
Given fractions are 3906/362,9972/7419
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 3906/362,9972/7419, numerators are 3906,9972
Denominators are 362,7419
The GCF of 3906,9972 is 18 .
LCM of 362,7419 is 2685678.
The greatest common factor of 3906/362,9972/7419 = [GCF of 3906,9972]/[LCM of 362,7419]= 18/2685678
Therefore, the GCF of 3906/362,9972/7419 is 18/2685678.
To find the highest common factor of 3906,9972, we have to find the factors of both numbers and list the highest common factor.
The factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972
The HCF of 3906,9972 is 18.
Lets's calculate GCF of 3906,9972
| 2 | 3906, 9972 |
| 3 | 1953, 4986 |
| 3 | 651, 1662 |
| 217, 554 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3906,9972 By Matching Biggest Common Factor Method
Now, list down the factors of 3906
:1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Now, list down the factors of 9972
:1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Greatest Common Factor
We found the factors 3906,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,9972 is 18.
Lets's calculate LCM of 362,7419
Given numbers has no common factors except 1. So, there LCM is their product i.e 2685678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2685678
Therefore, the GCF of Fractions 3906/362,9972/7419 is 18/2685678
Least Common Multiple of 362,7419 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 362,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,7419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,7419) x common factors =1 x 1 = 1
LCM(362,7419) = ( 362 × 7419 ) / 1
LCM(362,7419) = 2685678 / 1
LCM(362,7419) = 2685678
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3906/362, 9972/7419
1. What is the HCF of 3906,9972?
The HCF of 3906,9972 is 18
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 3906/362, 9972/7419?
Answer: GCF of Numerators as per given numbers 3906/362, 9972/7419 is
GCF of Numerators i.e. for 3906,9972 is 18
LCM of denominators i.e. for 362,7419 is 2685678.
Thus, GCF of Fractions is 18/2685678.Finally, GCF of Fractions for 3906/362, 9972/7419 is 18/2685678.