Use our free GCF of Fractions Calculator tool to compute the GCF of 92/262, 938/351, 621/837 i.e 1/2850822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/262, 938/351, 621/837.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/262,938/351,621/837
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 92/262,938/351,621/837, numerators are 92,938,621
Denominators are 262,351,837
The GCF of 92,938,621 is 1 .
LCM of 262,351,837 is 2850822.
The greatest common factor of 92/262,938/351,621/837 = [GCF of 92,938,621]/[LCM of 262,351,837]= 1/2850822
Therefore, the GCF of 92/262,938/351,621/837 is 1/2850822.
To find the highest common factor of 92,938,621, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The HCF of 92,938,621 is 1.
Lets's calculate GCF of 92,938,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 92,938,621 . The biggest common factor number is the GCF number.
So the greatest common factor 92,938,621 is 1.
Lets's calculate LCM of 262,351,837
3 | 262, 351, 837 |
3 | 262, 117, 279 |
3 | 262, 39, 93 |
262, 13, 31 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 262 x 13 x 31 = 2850822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2850822
Therefore, the GCF of Fractions 92/262,938/351,621/837 is 1/2850822
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 262,351,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,351,837) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(262,351,837) x common factors =1 x 27 = 27
LCM(262,351,837) = ( 262 × 351 × 837 ) / 27
LCM(262,351,837) = 76972194 / 27
LCM(262,351,837) = 2850822
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,938,621?
The HCF of 92,938,621 is 1
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 92/262, 938/351, 621/837?
Answer: GCF of Numerators as per given numbers 92/262, 938/351, 621/837 is
GCF of Numerators i.e. for 92,938,621 is 1
LCM of denominators i.e. for 262,351,837 is 2850822.
Thus, GCF of Fractions is 1/2850822.Finally, GCF of Fractions for 92/262, 938/351, 621/837 is 1/2850822.