Use our free GCF of Fractions Calculator tool to compute the GCF of 72/416, 141/787, 680/624 i.e 1/982176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/416, 141/787, 680/624.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/416,141/787,680/624
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 72/416,141/787,680/624, numerators are 72,141,680
Denominators are 416,787,624
The GCF of 72,141,680 is 1 .
LCM of 416,787,624 is 982176.
The greatest common factor of 72/416,141/787,680/624 = [GCF of 72,141,680]/[LCM of 416,787,624]= 1/982176
Therefore, the GCF of 72/416,141/787,680/624 is 1/982176.
To find the highest common factor of 72,141,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 141 are 1, 3, 47, 141
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 72,141,680 is 1.
Lets's calculate GCF of 72,141,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 72,141,680 . The biggest common factor number is the GCF number.
So the greatest common factor 72,141,680 is 1.
Lets's calculate LCM of 416,787,624
2 | 416, 787, 624 |
2 | 208, 787, 312 |
2 | 104, 787, 156 |
2 | 52, 787, 78 |
13 | 26, 787, 39 |
2, 787, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 2 x 787 x 3 = 982176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/982176
Therefore, the GCF of Fractions 72/416,141/787,680/624 is 1/982176
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 416,787,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,787,624) = 1
common factors(in case of two or more numbers have common factors) = 208
GCF(416,787,624) x common factors =1 x 208 = 208
LCM(416,787,624) = ( 416 × 787 × 624 ) / 208
LCM(416,787,624) = 204292608 / 208
LCM(416,787,624) = 982176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,141,680?
The HCF of 72,141,680 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 72/416, 141/787, 680/624?
Answer: GCF of Numerators as per given numbers 72/416, 141/787, 680/624 is
GCF of Numerators i.e. for 72,141,680 is 1
LCM of denominators i.e. for 416,787,624 is 982176.
Thus, GCF of Fractions is 1/982176.Finally, GCF of Fractions for 72/416, 141/787, 680/624 is 1/982176.