Use our free GCF of Fractions Calculator tool to compute the GCF of 4/75, 59/76, 97/168, 781/516 i.e 1/3431400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/75, 59/76, 97/168, 781/516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/75,59/76,97/168,781/516
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 4/75,59/76,97/168,781/516, numerators are 4,59,97,781
Denominators are 75,76,168,516
The GCF of 4,59,97,781 is 1 .
LCM of 75,76,168,516 is 3431400.
The greatest common factor of 4/75,59/76,97/168,781/516 = [GCF of 4,59,97,781]/[LCM of 75,76,168,516]= 1/3431400
Therefore, the GCF of 4/75,59/76,97/168,781/516 is 1/3431400.
To find the highest common factor of 4,59,97,781, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 59 are 1, 59
The factors of 97 are 1, 97
The factors of 781 are 1, 11, 71, 781
The HCF of 4,59,97,781 is 1.
Lets's calculate GCF of 4,59,97,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 59
:1,59
Now, list down the factors of 97
:1,97
Now, list down the factors of 781
:1,11,71,781
Greatest Common Factor
We found the factors 4,59,97,781 . The biggest common factor number is the GCF number.
So the greatest common factor 4,59,97,781 is 1.
Lets's calculate LCM of 75,76,168,516
2 | 75, 76, 168, 516 |
2 | 75, 38, 84, 258 |
3 | 75, 19, 42, 129 |
25, 19, 14, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 19 x 14 x 43 = 3431400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3431400
Therefore, the GCF of Fractions 4/75,59/76,97/168,781/516 is 1/3431400
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 75,76,168,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,76,168,516) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(75,76,168,516) x common factors =1 x 144 = 144
LCM(75,76,168,516) = ( 75 × 76 × 168 × 516 ) / 144
LCM(75,76,168,516) = 494121600 / 144
LCM(75,76,168,516) = 3431400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,59,97,781?
The HCF of 4,59,97,781 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 4/75, 59/76, 97/168, 781/516?
Answer: GCF of Numerators as per given numbers 4/75, 59/76, 97/168, 781/516 is
GCF of Numerators i.e. for 4,59,97,781 is 1
LCM of denominators i.e. for 75,76,168,516 is 3431400.
Thus, GCF of Fractions is 1/3431400.Finally, GCF of Fractions for 4/75, 59/76, 97/168, 781/516 is 1/3431400.