Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 745/761,628/857,151/303
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 745,628,151
Greatest Common Factor of Numerators i.e. GCF of 745,628,151 is 1 .
LCM of Denominators means LCM of 761,857,303 as per the given fractions.
LCM of 761,857,303 is 197609631 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 745,628,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 745,628,151 . The biggest common factor number is the GCF number.
So the greatest common factor 745,628,151 is 1.
Lets's calculate LCM of 761,857,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 197609631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197609631
Therefore, the GCF of Fractions 745/761,628/857,151/303 is 1/197609631
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 761,857,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,857,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,857,303) x common factors =1 x 1 = 1
LCM(761,857,303) = ( 761 × 857 × 303 ) / 1
LCM(761,857,303) = 197609631 / 1
LCM(761,857,303) = 197609631
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 745/761, 628/857, 151/303?
Answer: GCF of Numerators as per given numbers 745/761, 628/857, 151/303 is
GCF of Numerators i.e. for 745,628,151 is 1
LCM of denominators i.e. for 761,857,303 is 197609631.
Thus, GCF of Fractions is 1/197609631.Finally, GCF of Fractions for 745/761, 628/857, 151/303 is 1/197609631.