Use our free GCF of Fractions Calculator tool to compute the GCF of 9130/392, 7189/281 i.e 1/110152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9130/392, 7189/281.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9130/392,7189/281
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 9130/392,7189/281, numerators are 9130,7189
Denominators are 392,281
The GCF of 9130,7189 is 1 .
LCM of 392,281 is 110152.
The greatest common factor of 9130/392,7189/281 = [GCF of 9130,7189]/[LCM of 392,281]= 1/110152
Therefore, the GCF of 9130/392,7189/281 is 1/110152.
To find the highest common factor of 9130,7189, we have to find the factors of both numbers and list the highest common factor.
The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189
The HCF of 9130,7189 is 1.
Lets's calculate GCF of 9130,7189
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9130
:1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130
Now, list down the factors of 7189
:1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 9130,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,7189 is 1.
Lets's calculate LCM of 392,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 110152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110152
Therefore, the GCF of Fractions 9130/392,7189/281 is 1/110152
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 392,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,281) x common factors =1 x 1 = 1
LCM(392,281) = ( 392 × 281 ) / 1
LCM(392,281) = 110152 / 1
LCM(392,281) = 110152
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9130,7189?
The HCF of 9130,7189 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 9130/392, 7189/281?
Answer: GCF of Numerators as per given numbers 9130/392, 7189/281 is
GCF of Numerators i.e. for 9130,7189 is 1
LCM of denominators i.e. for 392,281 is 110152.
Thus, GCF of Fractions is 1/110152.Finally, GCF of Fractions for 9130/392, 7189/281 is 1/110152.