Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/58,795/10,740/70
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 139,795,740
Greatest Common Factor of Numerators i.e. GCF of 139,795,740 is 1 .
LCM of Denominators means LCM of 58,10,70 as per the given fractions.
LCM of 58,10,70 is 2030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 139,795,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 139,795,740 . The biggest common factor number is the GCF number.
So the greatest common factor 139,795,740 is 1.
Lets's calculate LCM of 58,10,70
2 | 58, 10, 70 |
5 | 29, 5, 35 |
29, 1, 7 |
∴ So the LCM of the given numbers is 2 x 5 x 29 x 1 x 7 = 2030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030
Therefore, the GCF of Fractions 139/58,795/10,740/70 is 1/2030
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 58,10,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,10,70) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(58,10,70) x common factors =2 x 10 = 20
LCM(58,10,70) = ( 58 × 10 × 70 ) / 20
LCM(58,10,70) = 40600 / 20
LCM(58,10,70) = 2030
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 139/58, 795/10, 740/70?
Answer: GCF of Numerators as per given numbers 139/58, 795/10, 740/70 is
GCF of Numerators i.e. for 139,795,740 is 1
LCM of denominators i.e. for 58,10,70 is 2030.
Thus, GCF of Fractions is 1/2030.Finally, GCF of Fractions for 139/58, 795/10, 740/70 is 1/2030.