Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4211/690,7825/4076
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 4211,7825
Greatest Common Factor of Numerators i.e. GCF of 4211,7825 is 1 .
LCM of Denominators means LCM of 690,4076 as per the given fractions.
LCM of 690,4076 is 1406220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4211,7825
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4211
List of positive integer factors of 4211 that divides 4211 without a remainder.
1,4211
Factors of 7825
List of positive integer factors of 7825 that divides 7825 without a remainder.
1,5,25,313,1565,7825
Greatest Common Factor
We found the factors 4211,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,7825 is 1.
Lets's calculate LCM of 690,4076
2 | 690, 4076 |
345, 2038 |
∴ So the LCM of the given numbers is 2 x 345 x 2038 = 1406220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1406220
Therefore, the GCF of Fractions 4211/690,7825/4076 is 1/1406220
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 690,4076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,4076) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,4076) x common factors =2 x 1 = 2
LCM(690,4076) = ( 690 × 4076 ) / 2
LCM(690,4076) = 2812440 / 2
LCM(690,4076) = 1406220
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 4211/690, 7825/4076?
Answer: GCF of Numerators as per given numbers 4211/690, 7825/4076 is
GCF of Numerators i.e. for 4211,7825 is 1
LCM of denominators i.e. for 690,4076 is 1406220.
Thus, GCF of Fractions is 1/1406220.Finally, GCF of Fractions for 4211/690, 7825/4076 is 1/1406220.