Use our free GCF of Fractions Calculator tool to compute the GCF of 3942/421, 9322/2725 i.e 2/1147225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3942/421, 9322/2725.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3942/421,9322/2725
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 3942/421,9322/2725, numerators are 3942,9322
Denominators are 421,2725
The GCF of 3942,9322 is 2 .
LCM of 421,2725 is 1147225.
The greatest common factor of 3942/421,9322/2725 = [GCF of 3942,9322]/[LCM of 421,2725]= 2/1147225
Therefore, the GCF of 3942/421,9322/2725 is 2/1147225.
To find the highest common factor of 3942,9322, we have to find the factors of both numbers and list the highest common factor.
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The HCF of 3942,9322 is 2.
Lets's calculate GCF of 3942,9322
2 | 3942, 9322 |
1971, 4661 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3942
:1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Greatest Common Factor
We found the factors 3942,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 3942,9322 is 2.
Lets's calculate LCM of 421,2725
Given numbers has no common factors except 1. So, there LCM is their product i.e 1147225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1147225
Therefore, the GCF of Fractions 3942/421,9322/2725 is 2/1147225
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 421,2725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,2725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,2725) x common factors =1 x 1 = 1
LCM(421,2725) = ( 421 × 2725 ) / 1
LCM(421,2725) = 1147225 / 1
LCM(421,2725) = 1147225
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3942,9322?
The HCF of 3942,9322 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 3942/421, 9322/2725?
Answer: GCF of Numerators as per given numbers 3942/421, 9322/2725 is
GCF of Numerators i.e. for 3942,9322 is 2
LCM of denominators i.e. for 421,2725 is 1147225.
Thus, GCF of Fractions is 2/1147225.Finally, GCF of Fractions for 3942/421, 9322/2725 is 2/1147225.