Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/25,58/567,707/221
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 39,58,707
Greatest Common Factor of Numerators i.e. GCF of 39,58,707 is 1 .
LCM of Denominators means LCM of 25,567,221 as per the given fractions.
LCM of 25,567,221 is 3132675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,58,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 39,58,707 . The biggest common factor number is the GCF number.
So the greatest common factor 39,58,707 is 1.
Lets's calculate LCM of 25,567,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 3132675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3132675
Therefore, the GCF of Fractions 39/25,58/567,707/221 is 1/3132675
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 25,567,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,567,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,567,221) x common factors =1 x 1 = 1
LCM(25,567,221) = ( 25 × 567 × 221 ) / 1
LCM(25,567,221) = 3132675 / 1
LCM(25,567,221) = 3132675
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 39/25, 58/567, 707/221?
Answer: GCF of Numerators as per given numbers 39/25, 58/567, 707/221 is
GCF of Numerators i.e. for 39,58,707 is 1
LCM of denominators i.e. for 25,567,221 is 3132675.
Thus, GCF of Fractions is 1/3132675.Finally, GCF of Fractions for 39/25, 58/567, 707/221 is 1/3132675.