Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/47,753/1092
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 851,753
Greatest Common Factor of Numerators i.e. GCF of 851,753 is 1 .
LCM of Denominators means LCM of 47,1092 as per the given fractions.
LCM of 47,1092 is 51324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 851,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 851,753 . The biggest common factor number is the GCF number.
So the greatest common factor 851,753 is 1.
Lets's calculate LCM of 47,1092
Given numbers has no common factors except 1. So, there LCM is their product i.e 51324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51324
Therefore, the GCF of Fractions 851/47,753/1092 is 1/51324
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 47,1092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,1092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,1092) x common factors =1 x 1 = 1
LCM(47,1092) = ( 47 × 1092 ) / 1
LCM(47,1092) = 51324 / 1
LCM(47,1092) = 51324
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 851/47, 753/1092?
Answer: GCF of Numerators as per given numbers 851/47, 753/1092 is
GCF of Numerators i.e. for 851,753 is 1
LCM of denominators i.e. for 47,1092 is 51324.
Thus, GCF of Fractions is 1/51324.Finally, GCF of Fractions for 851/47, 753/1092 is 1/51324.