Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/25,710/98,202/350
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 25,710,202
Greatest Common Factor of Numerators i.e. GCF of 25,710,202 is 1 .
LCM of Denominators means LCM of 25,98,350 as per the given fractions.
LCM of 25,98,350 is 2450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,710,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 25,710,202 . The biggest common factor number is the GCF number.
So the greatest common factor 25,710,202 is 1.
Lets's calculate LCM of 25,98,350
2 | 25, 98, 350 |
5 | 25, 49, 175 |
5 | 5, 49, 35 |
7 | 1, 49, 7 |
1, 1, 7 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 1 x 1 x 7 = 2450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2450
Therefore, the GCF of Fractions 25/25,710/98,202/350 is 1/2450
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 25,98,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,98,350) = 1
common factors(in case of two or more numbers have common factors) = 350
GCF(25,98,350) x common factors =1 x 350 = 350
LCM(25,98,350) = ( 25 × 98 × 350 ) / 350
LCM(25,98,350) = 857500 / 350
LCM(25,98,350) = 2450
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 25/25, 710/98, 202/350?
Answer: GCF of Numerators as per given numbers 25/25, 710/98, 202/350 is
GCF of Numerators i.e. for 25,710,202 is 1
LCM of denominators i.e. for 25,98,350 is 2450.
Thus, GCF of Fractions is 1/2450.Finally, GCF of Fractions for 25/25, 710/98, 202/350 is 1/2450.