Use our free GCF of Fractions Calculator tool to compute the GCF of 2672/417, 9095/7546 i.e 1/3146682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2672/417, 9095/7546.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2672/417,9095/7546
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 2672/417,9095/7546, numerators are 2672,9095
Denominators are 417,7546
The GCF of 2672,9095 is 1 .
LCM of 417,7546 is 3146682.
The greatest common factor of 2672/417,9095/7546 = [GCF of 2672,9095]/[LCM of 417,7546]= 1/3146682
Therefore, the GCF of 2672/417,9095/7546 is 1/3146682.
To find the highest common factor of 2672,9095, we have to find the factors of both numbers and list the highest common factor.
The factors of 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672
The factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095
The HCF of 2672,9095 is 1.
Lets's calculate GCF of 2672,9095
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2672
:1,2,4,8,16,167,334,668,1336,2672
Now, list down the factors of 9095
:1,5,17,85,107,535,1819,9095
Greatest Common Factor
We found the factors 2672,9095 . The biggest common factor number is the GCF number.
So the greatest common factor 2672,9095 is 1.
Lets's calculate LCM of 417,7546
Given numbers has no common factors except 1. So, there LCM is their product i.e 3146682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3146682
Therefore, the GCF of Fractions 2672/417,9095/7546 is 1/3146682
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 417,7546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,7546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,7546) x common factors =1 x 1 = 1
LCM(417,7546) = ( 417 × 7546 ) / 1
LCM(417,7546) = 3146682 / 1
LCM(417,7546) = 3146682
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2672,9095?
The HCF of 2672,9095 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 2672/417, 9095/7546?
Answer: GCF of Numerators as per given numbers 2672/417, 9095/7546 is
GCF of Numerators i.e. for 2672,9095 is 1
LCM of denominators i.e. for 417,7546 is 3146682.
Thus, GCF of Fractions is 1/3146682.Finally, GCF of Fractions for 2672/417, 9095/7546 is 1/3146682.