Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/47,992/45,179/602
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 754,992,179
Greatest Common Factor of Numerators i.e. GCF of 754,992,179 is 1 .
LCM of Denominators means LCM of 47,45,602 as per the given fractions.
LCM of 47,45,602 is 1273230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 754,992,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
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
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 754,992,179 . The biggest common factor number is the GCF number.
So the greatest common factor 754,992,179 is 1.
Lets's calculate LCM of 47,45,602
Given numbers has no common factors except 1. So, there LCM is their product i.e 1273230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1273230
Therefore, the GCF of Fractions 754/47,992/45,179/602 is 1/1273230
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 47,45,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,45,602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,45,602) x common factors =1 x 1 = 1
LCM(47,45,602) = ( 47 × 45 × 602 ) / 1
LCM(47,45,602) = 1273230 / 1
LCM(47,45,602) = 1273230
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 754/47, 992/45, 179/602?
Answer: GCF of Numerators as per given numbers 754/47, 992/45, 179/602 is
GCF of Numerators i.e. for 754,992,179 is 1
LCM of denominators i.e. for 47,45,602 is 1273230.
Thus, GCF of Fractions is 1/1273230.Finally, GCF of Fractions for 754/47, 992/45, 179/602 is 1/1273230.