Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/278,4331/508
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 870,4331
Greatest Common Factor of Numerators i.e. GCF of 870,4331 is 1 .
LCM of Denominators means LCM of 278,508 as per the given fractions.
LCM of 278,508 is 70612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 870,4331
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 4331
List of positive integer factors of 4331 that divides 4331 without a remainder.
1,61,71,4331
Greatest Common Factor
We found the factors 870,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 870,4331 is 1.
Lets's calculate LCM of 278,508
2 | 278, 508 |
139, 254 |
∴ So the LCM of the given numbers is 2 x 139 x 254 = 70612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70612
Therefore, the GCF of Fractions 870/278,4331/508 is 1/70612
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 278,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,508) x common factors =2 x 1 = 2
LCM(278,508) = ( 278 × 508 ) / 2
LCM(278,508) = 141224 / 2
LCM(278,508) = 70612
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 870/278, 4331/508?
Answer: GCF of Numerators as per given numbers 870/278, 4331/508 is
GCF of Numerators i.e. for 870,4331 is 1
LCM of denominators i.e. for 278,508 is 70612.
Thus, GCF of Fractions is 1/70612.Finally, GCF of Fractions for 870/278, 4331/508 is 1/70612.