Use our free GCF of Fractions Calculator tool to compute the GCF of 92/747, 53/664, 958/548 i.e 1/818712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/747, 53/664, 958/548.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/747,53/664,958/548
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 92/747,53/664,958/548, numerators are 92,53,958
Denominators are 747,664,548
The GCF of 92,53,958 is 1 .
LCM of 747,664,548 is 818712.
The greatest common factor of 92/747,53/664,958/548 = [GCF of 92,53,958]/[LCM of 747,664,548]= 1/818712
Therefore, the GCF of 92/747,53/664,958/548 is 1/818712.
To find the highest common factor of 92,53,958, 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 53 are 1, 53
The factors of 958 are 1, 2, 479, 958
The HCF of 92,53,958 is 1.
Lets's calculate GCF of 92,53,958
∴ 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 53
:1,53
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 92,53,958 . The biggest common factor number is the GCF number.
So the greatest common factor 92,53,958 is 1.
Lets's calculate LCM of 747,664,548
2 | 747, 664, 548 |
2 | 747, 332, 274 |
83 | 747, 166, 137 |
9, 2, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 83 x 9 x 2 x 137 = 818712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/818712
Therefore, the GCF of Fractions 92/747,53/664,958/548 is 1/818712
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 747,664,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,664,548) = 1
common factors(in case of two or more numbers have common factors) = 332
GCF(747,664,548) x common factors =1 x 332 = 332
LCM(747,664,548) = ( 747 × 664 × 548 ) / 332
LCM(747,664,548) = 271812384 / 332
LCM(747,664,548) = 818712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,53,958?
The HCF of 92,53,958 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 92/747, 53/664, 958/548?
Answer: GCF of Numerators as per given numbers 92/747, 53/664, 958/548 is
GCF of Numerators i.e. for 92,53,958 is 1
LCM of denominators i.e. for 747,664,548 is 818712.
Thus, GCF of Fractions is 1/818712.Finally, GCF of Fractions for 92/747, 53/664, 958/548 is 1/818712.