Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 912/847,3763/5873
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 912,3763
Greatest Common Factor of Numerators i.e. GCF of 912,3763 is 1 .
LCM of Denominators means LCM of 847,5873 as per the given fractions.
LCM of 847,5873 is 710633 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 912,3763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 3763
List of positive integer factors of 3763 that divides 3763 without a remainder.
1,53,71,3763
Greatest Common Factor
We found the factors 912,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 912,3763 is 1.
Lets's calculate LCM of 847,5873
7 | 847, 5873 |
121, 839 |
∴ So the LCM of the given numbers is 7 x 121 x 839 = 710633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710633
Therefore, the GCF of Fractions 912/847,3763/5873 is 1/710633
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 847,5873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,5873) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(847,5873) x common factors =7 x 1 = 7
LCM(847,5873) = ( 847 × 5873 ) / 7
LCM(847,5873) = 4974431 / 7
LCM(847,5873) = 710633
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 912/847, 3763/5873?
Answer: GCF of Numerators as per given numbers 912/847, 3763/5873 is
GCF of Numerators i.e. for 912,3763 is 1
LCM of denominators i.e. for 847,5873 is 710633.
Thus, GCF of Fractions is 1/710633.Finally, GCF of Fractions for 912/847, 3763/5873 is 1/710633.