Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/70,59/19,73/309,992/953
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 7,59,73,992
Greatest Common Factor of Numerators i.e. GCF of 7,59,73,992 is 1 .
LCM of Denominators means LCM of 70,19,309,953 as per the given fractions.
LCM of 70,19,309,953 is 391654410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,59,73,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 7,59,73,992 . The biggest common factor number is the GCF number.
So the greatest common factor 7,59,73,992 is 1.
Lets's calculate LCM of 70,19,309,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 391654410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391654410
Therefore, the GCF of Fractions 7/70,59/19,73/309,992/953 is 1/391654410
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 70,19,309,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,19,309,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,19,309,953) x common factors =1 x 1 = 1
LCM(70,19,309,953) = ( 70 × 19 × 309 × 953 ) / 1
LCM(70,19,309,953) = 391654410 / 1
LCM(70,19,309,953) = 391654410
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 7/70, 59/19, 73/309, 992/953?
Answer: GCF of Numerators as per given numbers 7/70, 59/19, 73/309, 992/953 is
GCF of Numerators i.e. for 7,59,73,992 is 1
LCM of denominators i.e. for 70,19,309,953 is 391654410.
Thus, GCF of Fractions is 1/391654410.Finally, GCF of Fractions for 7/70, 59/19, 73/309, 992/953 is 1/391654410.