Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/295,761/437,140/188
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 907,761,140
Greatest Common Factor of Numerators i.e. GCF of 907,761,140 is 1 .
LCM of Denominators means LCM of 295,437,188 as per the given fractions.
LCM of 295,437,188 is 24236020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 907,761,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 907,761,140 . The biggest common factor number is the GCF number.
So the greatest common factor 907,761,140 is 1.
Lets's calculate LCM of 295,437,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 24236020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24236020
Therefore, the GCF of Fractions 907/295,761/437,140/188 is 1/24236020
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 295,437,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,437,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,437,188) x common factors =1 x 1 = 1
LCM(295,437,188) = ( 295 × 437 × 188 ) / 1
LCM(295,437,188) = 24236020 / 1
LCM(295,437,188) = 24236020
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 907/295, 761/437, 140/188?
Answer: GCF of Numerators as per given numbers 907/295, 761/437, 140/188 is
GCF of Numerators i.e. for 907,761,140 is 1
LCM of denominators i.e. for 295,437,188 is 24236020.
Thus, GCF of Fractions is 1/24236020.Finally, GCF of Fractions for 907/295, 761/437, 140/188 is 1/24236020.