Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/770,5636/9925
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 249,5636
Greatest Common Factor of Numerators i.e. GCF of 249,5636 is 1 .
LCM of Denominators means LCM of 770,9925 as per the given fractions.
LCM of 770,9925 is 1528450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 249,5636
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 5636
List of positive integer factors of 5636 that divides 5636 without a remainder.
1,2,4,1409,2818,5636
Greatest Common Factor
We found the factors 249,5636 . The biggest common factor number is the GCF number.
So the greatest common factor 249,5636 is 1.
Lets's calculate LCM of 770,9925
5 | 770, 9925 |
154, 1985 |
∴ So the LCM of the given numbers is 5 x 154 x 1985 = 1528450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528450
Therefore, the GCF of Fractions 249/770,5636/9925 is 1/1528450
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 770,9925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,9925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(770,9925) x common factors =5 x 1 = 5
LCM(770,9925) = ( 770 × 9925 ) / 5
LCM(770,9925) = 7642250 / 5
LCM(770,9925) = 1528450
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 249/770, 5636/9925?
Answer: GCF of Numerators as per given numbers 249/770, 5636/9925 is
GCF of Numerators i.e. for 249,5636 is 1
LCM of denominators i.e. for 770,9925 is 1528450.
Thus, GCF of Fractions is 1/1528450.Finally, GCF of Fractions for 249/770, 5636/9925 is 1/1528450.