Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/70,18/11,70/295,882/692
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 3,18,70,882
Greatest Common Factor of Numerators i.e. GCF of 3,18,70,882 is 1 .
LCM of Denominators means LCM of 70,11,295,692 as per the given fractions.
LCM of 70,11,295,692 is 15718780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,18,70,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 3,18,70,882 . The biggest common factor number is the GCF number.
So the greatest common factor 3,18,70,882 is 1.
Lets's calculate LCM of 70,11,295,692
2 | 70, 11, 295, 692 |
5 | 35, 11, 295, 346 |
7, 11, 59, 346 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 59 x 346 = 15718780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15718780
Therefore, the GCF of Fractions 3/70,18/11,70/295,882/692 is 1/15718780
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 70,11,295,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,11,295,692) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,11,295,692) x common factors =1 x 10 = 10
LCM(70,11,295,692) = ( 70 × 11 × 295 × 692 ) / 10
LCM(70,11,295,692) = 157187800 / 10
LCM(70,11,295,692) = 15718780
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 3/70, 18/11, 70/295, 882/692?
Answer: GCF of Numerators as per given numbers 3/70, 18/11, 70/295, 882/692 is
GCF of Numerators i.e. for 3,18,70,882 is 1
LCM of denominators i.e. for 70,11,295,692 is 15718780.
Thus, GCF of Fractions is 1/15718780.Finally, GCF of Fractions for 3/70, 18/11, 70/295, 882/692 is 1/15718780.