Use our free GCF of Fractions Calculator tool to compute the GCF of 1/53, 92/39, 13/520, 938/708 i.e 1/4878120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/53, 92/39, 13/520, 938/708.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/53,92/39,13/520,938/708
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 1/53,92/39,13/520,938/708, numerators are 1,92,13,938
Denominators are 53,39,520,708
The GCF of 1,92,13,938 is 1 .
LCM of 53,39,520,708 is 4878120.
The greatest common factor of 1/53,92/39,13/520,938/708 = [GCF of 1,92,13,938]/[LCM of 53,39,520,708]= 1/4878120
Therefore, the GCF of 1/53,92/39,13/520,938/708 is 1/4878120.
To find the highest common factor of 1,92,13,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 13 are 1, 13
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 1,92,13,938 is 1.
Lets's calculate GCF of 1,92,13,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 13
:1,13
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 1,92,13,938 . The biggest common factor number is the GCF number.
So the greatest common factor 1,92,13,938 is 1.
Lets's calculate LCM of 53,39,520,708
2 | 53, 39, 520, 708 |
2 | 53, 39, 260, 354 |
3 | 53, 39, 130, 177 |
13 | 53, 13, 130, 59 |
53, 1, 10, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 53 x 1 x 10 x 59 = 4878120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4878120
Therefore, the GCF of Fractions 1/53,92/39,13/520,938/708 is 1/4878120
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 53,39,520,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,39,520,708) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(53,39,520,708) x common factors =1 x 156 = 156
LCM(53,39,520,708) = ( 53 × 39 × 520 × 708 ) / 156
LCM(53,39,520,708) = 760986720 / 156
LCM(53,39,520,708) = 4878120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,92,13,938?
The HCF of 1,92,13,938 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 1/53, 92/39, 13/520, 938/708?
Answer: GCF of Numerators as per given numbers 1/53, 92/39, 13/520, 938/708 is
GCF of Numerators i.e. for 1,92,13,938 is 1
LCM of denominators i.e. for 53,39,520,708 is 4878120.
Thus, GCF of Fractions is 1/4878120.Finally, GCF of Fractions for 1/53, 92/39, 13/520, 938/708 is 1/4878120.