Use our free GCF of Fractions Calculator tool to compute the GCF of 97/224, 91/2664 i.e 1/74592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/224, 91/2664.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/224,91/2664
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 97/224,91/2664, numerators are 97,91
Denominators are 224,2664
The GCF of 97,91 is 1 .
LCM of 224,2664 is 74592.
The greatest common factor of 97/224,91/2664 = [GCF of 97,91]/[LCM of 224,2664]= 1/74592
Therefore, the GCF of 97/224,91/2664 is 1/74592.
To find the highest common factor of 97,91, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 91 are 1, 7, 13, 91
The HCF of 97,91 is 1.
Lets's calculate GCF of 97,91
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 224,2664
2 | 224, 2664 |
2 | 112, 1332 |
2 | 56, 666 |
28, 333 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 333 = 74592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74592
Therefore, the GCF of Fractions 97/224,91/2664 is 1/74592
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 224,2664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,2664) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(224,2664) x common factors =8 x 1 = 8
LCM(224,2664) = ( 224 × 2664 ) / 8
LCM(224,2664) = 596736 / 8
LCM(224,2664) = 74592
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,91?
The HCF of 97,91 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 97/224, 91/2664?
Answer: GCF of Numerators as per given numbers 97/224, 91/2664 is
GCF of Numerators i.e. for 97,91 is 1
LCM of denominators i.e. for 224,2664 is 74592.
Thus, GCF of Fractions is 1/74592.Finally, GCF of Fractions for 97/224, 91/2664 is 1/74592.