Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/520,709/611,651/593
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 252,709,651
Greatest Common Factor of Numerators i.e. GCF of 252,709,651 is 1 .
LCM of Denominators means LCM of 520,611,593 as per the given fractions.
LCM of 520,611,593 is 14492920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 252,709,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 252,709,651 . The biggest common factor number is the GCF number.
So the greatest common factor 252,709,651 is 1.
Lets's calculate LCM of 520,611,593
13 | 520, 611, 593 |
40, 47, 593 |
∴ So the LCM of the given numbers is 13 x 40 x 47 x 593 = 14492920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14492920
Therefore, the GCF of Fractions 252/520,709/611,651/593 is 1/14492920
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 520,611,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,611,593) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(520,611,593) x common factors =1 x 13 = 13
LCM(520,611,593) = ( 520 × 611 × 593 ) / 13
LCM(520,611,593) = 188407960 / 13
LCM(520,611,593) = 14492920
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 252/520, 709/611, 651/593?
Answer: GCF of Numerators as per given numbers 252/520, 709/611, 651/593 is
GCF of Numerators i.e. for 252,709,651 is 1
LCM of denominators i.e. for 520,611,593 is 14492920.
Thus, GCF of Fractions is 1/14492920.Finally, GCF of Fractions for 252/520, 709/611, 651/593 is 1/14492920.