Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2475/977,9883/636
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 2475,9883
Greatest Common Factor of Numerators i.e. GCF of 2475,9883 is 1 .
LCM of Denominators means LCM of 977,636 as per the given fractions.
LCM of 977,636 is 621372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2475,9883
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2475
List of positive integer factors of 2475 that divides 2475 without a remainder.
1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Factors of 9883
List of positive integer factors of 9883 that divides 9883 without a remainder.
1,9883
Greatest Common Factor
We found the factors 2475,9883 . The biggest common factor number is the GCF number.
So the greatest common factor 2475,9883 is 1.
Lets's calculate LCM of 977,636
Given numbers has no common factors except 1. So, there LCM is their product i.e 621372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621372
Therefore, the GCF of Fractions 2475/977,9883/636 is 1/621372
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 977,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,636) x common factors =1 x 1 = 1
LCM(977,636) = ( 977 × 636 ) / 1
LCM(977,636) = 621372 / 1
LCM(977,636) = 621372
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 2475/977, 9883/636?
Answer: GCF of Numerators as per given numbers 2475/977, 9883/636 is
GCF of Numerators i.e. for 2475,9883 is 1
LCM of denominators i.e. for 977,636 is 621372.
Thus, GCF of Fractions is 1/621372.Finally, GCF of Fractions for 2475/977, 9883/636 is 1/621372.