Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 714/94,158/9047
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 714,158
Greatest Common Factor of Numerators i.e. GCF of 714,158 is 2 .
LCM of Denominators means LCM of 94,9047 as per the given fractions.
LCM of 94,9047 is 850418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 714,158
2 | 714, 158 |
357, 79 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 714,158 . The biggest common factor number is the GCF number.
So the greatest common factor 714,158 is 2.
Lets's calculate LCM of 94,9047
Given numbers has no common factors except 1. So, there LCM is their product i.e 850418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/850418
Therefore, the GCF of Fractions 714/94,158/9047 is 2/850418
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 94,9047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,9047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,9047) x common factors =1 x 1 = 1
LCM(94,9047) = ( 94 × 9047 ) / 1
LCM(94,9047) = 850418 / 1
LCM(94,9047) = 850418
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 714/94, 158/9047?
Answer: GCF of Numerators as per given numbers 714/94, 158/9047 is
GCF of Numerators i.e. for 714,158 is 2
LCM of denominators i.e. for 94,9047 is 850418.
Thus, GCF of Fractions is 2/850418.Finally, GCF of Fractions for 714/94, 158/9047 is 2/850418.