Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 853/55,991/92,840/893
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 853,991,840
Greatest Common Factor of Numerators i.e. GCF of 853,991,840 is 1 .
LCM of Denominators means LCM of 55,92,893 as per the given fractions.
LCM of 55,92,893 is 4518580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 853,991,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 853,991,840 . The biggest common factor number is the GCF number.
So the greatest common factor 853,991,840 is 1.
Lets's calculate LCM of 55,92,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 4518580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4518580
Therefore, the GCF of Fractions 853/55,991/92,840/893 is 1/4518580
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 55,92,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,92,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,92,893) x common factors =1 x 1 = 1
LCM(55,92,893) = ( 55 × 92 × 893 ) / 1
LCM(55,92,893) = 4518580 / 1
LCM(55,92,893) = 4518580
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 853/55, 991/92, 840/893?
Answer: GCF of Numerators as per given numbers 853/55, 991/92, 840/893 is
GCF of Numerators i.e. for 853,991,840 is 1
LCM of denominators i.e. for 55,92,893 is 4518580.
Thus, GCF of Fractions is 1/4518580.Finally, GCF of Fractions for 853/55, 991/92, 840/893 is 1/4518580.