Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/70,22/803,373/829
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 63,22,373
Greatest Common Factor of Numerators i.e. GCF of 63,22,373 is 1 .
LCM of Denominators means LCM of 70,803,829 as per the given fractions.
LCM of 70,803,829 is 46598090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,22,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 63,22,373 . The biggest common factor number is the GCF number.
So the greatest common factor 63,22,373 is 1.
Lets's calculate LCM of 70,803,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 46598090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46598090
Therefore, the GCF of Fractions 63/70,22/803,373/829 is 1/46598090
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 70,803,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,803,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,803,829) x common factors =1 x 1 = 1
LCM(70,803,829) = ( 70 × 803 × 829 ) / 1
LCM(70,803,829) = 46598090 / 1
LCM(70,803,829) = 46598090
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 63/70, 22/803, 373/829?
Answer: GCF of Numerators as per given numbers 63/70, 22/803, 373/829 is
GCF of Numerators i.e. for 63,22,373 is 1
LCM of denominators i.e. for 70,803,829 is 46598090.
Thus, GCF of Fractions is 1/46598090.Finally, GCF of Fractions for 63/70, 22/803, 373/829 is 1/46598090.