Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/884,476/430,877/829
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 89,476,877
Greatest Common Factor of Numerators i.e. GCF of 89,476,877 is 1 .
LCM of Denominators means LCM of 884,430,829 as per the given fractions.
LCM of 884,430,829 is 157559740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,476,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Greatest Common Factor
We found the factors 89,476,877 . The biggest common factor number is the GCF number.
So the greatest common factor 89,476,877 is 1.
Lets's calculate LCM of 884,430,829
2 | 884, 430, 829 |
442, 215, 829 |
∴ So the LCM of the given numbers is 2 x 442 x 215 x 829 = 157559740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157559740
Therefore, the GCF of Fractions 89/884,476/430,877/829 is 1/157559740
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 884,430,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,430,829) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(884,430,829) x common factors =1 x 2 = 2
LCM(884,430,829) = ( 884 × 430 × 829 ) / 2
LCM(884,430,829) = 315119480 / 2
LCM(884,430,829) = 157559740
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 89/884, 476/430, 877/829?
Answer: GCF of Numerators as per given numbers 89/884, 476/430, 877/829 is
GCF of Numerators i.e. for 89,476,877 is 1
LCM of denominators i.e. for 884,430,829 is 157559740.
Thus, GCF of Fractions is 1/157559740.Finally, GCF of Fractions for 89/884, 476/430, 877/829 is 1/157559740.