Use our free GCF of Fractions Calculator tool to compute the GCF of 92/757, 60/142, 364/781 i.e 4/1182434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/757, 60/142, 364/781.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/757,60/142,364/781
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 92/757,60/142,364/781, numerators are 92,60,364
Denominators are 757,142,781
The GCF of 92,60,364 is 4 .
LCM of 757,142,781 is 1182434.
The greatest common factor of 92/757,60/142,364/781 = [GCF of 92,60,364]/[LCM of 757,142,781]= 4/1182434
Therefore, the GCF of 92/757,60/142,364/781 is 4/1182434.
To find the highest common factor of 92,60,364, 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 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The HCF of 92,60,364 is 4.
Lets's calculate GCF of 92,60,364
2 | 92, 60, 364 |
2 | 46, 30, 182 |
23, 15, 91 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 92,60,364 . The biggest common factor number is the GCF number.
So the greatest common factor 92,60,364 is 4.
Lets's calculate LCM of 757,142,781
71 | 757, 142, 781 |
757, 2, 11 |
∴ So the LCM of the given numbers is 71 x 757 x 2 x 11 = 1182434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1182434
Therefore, the GCF of Fractions 92/757,60/142,364/781 is 4/1182434
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 757,142,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,142,781) = 1
common factors(in case of two or more numbers have common factors) = 71
GCF(757,142,781) x common factors =1 x 71 = 71
LCM(757,142,781) = ( 757 × 142 × 781 ) / 71
LCM(757,142,781) = 83952814 / 71
LCM(757,142,781) = 1182434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,60,364?
The HCF of 92,60,364 is 4
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 92/757, 60/142, 364/781?
Answer: GCF of Numerators as per given numbers 92/757, 60/142, 364/781 is
GCF of Numerators i.e. for 92,60,364 is 4
LCM of denominators i.e. for 757,142,781 is 1182434.
Thus, GCF of Fractions is 4/1182434.Finally, GCF of Fractions for 92/757, 60/142, 364/781 is 4/1182434.