Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/877,498/918
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 975,498
Greatest Common Factor of Numerators i.e. GCF of 975,498 is 3 .
LCM of Denominators means LCM of 877,918 as per the given fractions.
LCM of 877,918 is 805086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,498
3 | 975, 498 |
325, 166 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 975,498 . The biggest common factor number is the GCF number.
So the greatest common factor 975,498 is 3.
Lets's calculate LCM of 877,918
Given numbers has no common factors except 1. So, there LCM is their product i.e 805086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/805086
Therefore, the GCF of Fractions 975/877,498/918 is 3/805086
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 877,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,918) x common factors =1 x 1 = 1
LCM(877,918) = ( 877 × 918 ) / 1
LCM(877,918) = 805086 / 1
LCM(877,918) = 805086
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 975/877, 498/918?
Answer: GCF of Numerators as per given numbers 975/877, 498/918 is
GCF of Numerators i.e. for 975,498 is 3
LCM of denominators i.e. for 877,918 is 805086.
Thus, GCF of Fractions is 3/805086.Finally, GCF of Fractions for 975/877, 498/918 is 3/805086.