Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/11,707/28,715/820
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 177,707,715
Greatest Common Factor of Numerators i.e. GCF of 177,707,715 is 1 .
LCM of Denominators means LCM of 11,28,820 as per the given fractions.
LCM of 11,28,820 is 63140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 177,707,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 177,707,715 . The biggest common factor number is the GCF number.
So the greatest common factor 177,707,715 is 1.
Lets's calculate LCM of 11,28,820
2 | 11, 28, 820 |
2 | 11, 14, 410 |
11, 7, 205 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 205 = 63140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63140
Therefore, the GCF of Fractions 177/11,707/28,715/820 is 1/63140
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 11,28,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,28,820) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(11,28,820) x common factors =1 x 4 = 4
LCM(11,28,820) = ( 11 × 28 × 820 ) / 4
LCM(11,28,820) = 252560 / 4
LCM(11,28,820) = 63140
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 177/11, 707/28, 715/820?
Answer: GCF of Numerators as per given numbers 177/11, 707/28, 715/820 is
GCF of Numerators i.e. for 177,707,715 is 1
LCM of denominators i.e. for 11,28,820 is 63140.
Thus, GCF of Fractions is 1/63140.Finally, GCF of Fractions for 177/11, 707/28, 715/820 is 1/63140.