Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7139/212,3669/6776
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 7139,3669
Greatest Common Factor of Numerators i.e. GCF of 7139,3669 is 1 .
LCM of Denominators means LCM of 212,6776 as per the given fractions.
LCM of 212,6776 is 359128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7139,3669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7139
List of positive integer factors of 7139 that divides 7139 without a remainder.
1,11,59,121,649,7139
Factors of 3669
List of positive integer factors of 3669 that divides 3669 without a remainder.
1,3,1223,3669
Greatest Common Factor
We found the factors 7139,3669 . The biggest common factor number is the GCF number.
So the greatest common factor 7139,3669 is 1.
Lets's calculate LCM of 212,6776
2 | 212, 6776 |
2 | 106, 3388 |
53, 1694 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 1694 = 359128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359128
Therefore, the GCF of Fractions 7139/212,3669/6776 is 1/359128
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 212,6776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,6776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,6776) x common factors =4 x 1 = 4
LCM(212,6776) = ( 212 × 6776 ) / 4
LCM(212,6776) = 1436512 / 4
LCM(212,6776) = 359128
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 7139/212, 3669/6776?
Answer: GCF of Numerators as per given numbers 7139/212, 3669/6776 is
GCF of Numerators i.e. for 7139,3669 is 1
LCM of denominators i.e. for 212,6776 is 359128.
Thus, GCF of Fractions is 1/359128.Finally, GCF of Fractions for 7139/212, 3669/6776 is 1/359128.