Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/705,72/803,781/740
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 58,72,781
Greatest Common Factor of Numerators i.e. GCF of 58,72,781 is 1 .
LCM of Denominators means LCM of 705,803,740 as per the given fractions.
LCM of 705,803,740 is 83785020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,72,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 58,72,781 . The biggest common factor number is the GCF number.
So the greatest common factor 58,72,781 is 1.
Lets's calculate LCM of 705,803,740
5 | 705, 803, 740 |
141, 803, 148 |
∴ So the LCM of the given numbers is 5 x 141 x 803 x 148 = 83785020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83785020
Therefore, the GCF of Fractions 58/705,72/803,781/740 is 1/83785020
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 705,803,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,803,740) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(705,803,740) x common factors =1 x 5 = 5
LCM(705,803,740) = ( 705 × 803 × 740 ) / 5
LCM(705,803,740) = 418925100 / 5
LCM(705,803,740) = 83785020
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 58/705, 72/803, 781/740?
Answer: GCF of Numerators as per given numbers 58/705, 72/803, 781/740 is
GCF of Numerators i.e. for 58,72,781 is 1
LCM of denominators i.e. for 705,803,740 is 83785020.
Thus, GCF of Fractions is 1/83785020.Finally, GCF of Fractions for 58/705, 72/803, 781/740 is 1/83785020.