Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2844/770,6703/3852
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 2844,6703
Greatest Common Factor of Numerators i.e. GCF of 2844,6703 is 1 .
LCM of Denominators means LCM of 770,3852 as per the given fractions.
LCM of 770,3852 is 1483020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2844,6703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2844
List of positive integer factors of 2844 that divides 2844 without a remainder.
1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844
Factors of 6703
List of positive integer factors of 6703 that divides 6703 without a remainder.
1,6703
Greatest Common Factor
We found the factors 2844,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 2844,6703 is 1.
Lets's calculate LCM of 770,3852
2 | 770, 3852 |
385, 1926 |
∴ So the LCM of the given numbers is 2 x 385 x 1926 = 1483020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1483020
Therefore, the GCF of Fractions 2844/770,6703/3852 is 1/1483020
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 770,3852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,3852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,3852) x common factors =2 x 1 = 2
LCM(770,3852) = ( 770 × 3852 ) / 2
LCM(770,3852) = 2966040 / 2
LCM(770,3852) = 1483020
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 2844/770, 6703/3852?
Answer: GCF of Numerators as per given numbers 2844/770, 6703/3852 is
GCF of Numerators i.e. for 2844,6703 is 1
LCM of denominators i.e. for 770,3852 is 1483020.
Thus, GCF of Fractions is 1/1483020.Finally, GCF of Fractions for 2844/770, 6703/3852 is 1/1483020.