Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/473,679/351,139/479
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 52,679,139
Greatest Common Factor of Numerators i.e. GCF of 52,679,139 is 1 .
LCM of Denominators means LCM of 473,351,479 as per the given fractions.
LCM of 473,351,479 is 79525017 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,679,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Greatest Common Factor
We found the factors 52,679,139 . The biggest common factor number is the GCF number.
So the greatest common factor 52,679,139 is 1.
Lets's calculate LCM of 473,351,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 79525017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79525017
Therefore, the GCF of Fractions 52/473,679/351,139/479 is 1/79525017
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 473,351,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,351,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,351,479) x common factors =1 x 1 = 1
LCM(473,351,479) = ( 473 × 351 × 479 ) / 1
LCM(473,351,479) = 79525017 / 1
LCM(473,351,479) = 79525017
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 52/473, 679/351, 139/479?
Answer: GCF of Numerators as per given numbers 52/473, 679/351, 139/479 is
GCF of Numerators i.e. for 52,679,139 is 1
LCM of denominators i.e. for 473,351,479 is 79525017.
Thus, GCF of Fractions is 1/79525017.Finally, GCF of Fractions for 52/473, 679/351, 139/479 is 1/79525017.