Use our free GCF of Fractions Calculator tool to compute the GCF of 7069/358, 9193/7211 i.e 1/2581538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7069/358, 9193/7211.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7069/358,9193/7211
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7069/358,9193/7211, numerators are 7069,9193
Denominators are 358,7211
The GCF of 7069,9193 is 1 .
LCM of 358,7211 is 2581538.
The greatest common factor of 7069/358,9193/7211 = [GCF of 7069,9193]/[LCM of 358,7211]= 1/2581538
Therefore, the GCF of 7069/358,9193/7211 is 1/2581538.
To find the highest common factor of 7069,9193, we have to find the factors of both numbers and list the highest common factor.
The factors of 7069 are 1, 7069
The factors of 9193 are 1, 29, 317, 9193
The HCF of 7069,9193 is 1.
Lets's calculate GCF of 7069,9193
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7069
:1,7069
Now, list down the factors of 9193
:1,29,317,9193
Greatest Common Factor
We found the factors 7069,9193 . The biggest common factor number is the GCF number.
So the greatest common factor 7069,9193 is 1.
Lets's calculate LCM of 358,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 2581538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2581538
Therefore, the GCF of Fractions 7069/358,9193/7211 is 1/2581538
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 358,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,7211) x common factors =1 x 1 = 1
LCM(358,7211) = ( 358 × 7211 ) / 1
LCM(358,7211) = 2581538 / 1
LCM(358,7211) = 2581538
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7069,9193?
The HCF of 7069,9193 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 7069/358, 9193/7211?
Answer: GCF of Numerators as per given numbers 7069/358, 9193/7211 is
GCF of Numerators i.e. for 7069,9193 is 1
LCM of denominators i.e. for 358,7211 is 2581538.
Thus, GCF of Fractions is 1/2581538.Finally, GCF of Fractions for 7069/358, 9193/7211 is 1/2581538.