Use our free GCF of Fractions Calculator tool to compute the GCF of 7637/693, 7312/3168 i.e 1/22176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7637/693, 7312/3168.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7637/693,7312/3168
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 7637/693,7312/3168, numerators are 7637,7312
Denominators are 693,3168
The GCF of 7637,7312 is 1 .
LCM of 693,3168 is 22176.
The greatest common factor of 7637/693,7312/3168 = [GCF of 7637,7312]/[LCM of 693,3168]= 1/22176
Therefore, the GCF of 7637/693,7312/3168 is 1/22176.
To find the highest common factor of 7637,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 7637 are 1, 7, 1091, 7637
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 7637,7312 is 1.
Lets's calculate GCF of 7637,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7637
:1,7,1091,7637
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 7637,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 7637,7312 is 1.
Lets's calculate LCM of 693,3168
3 | 693, 3168 |
3 | 231, 1056 |
11 | 77, 352 |
7, 32 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 7 x 32 = 22176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22176
Therefore, the GCF of Fractions 7637/693,7312/3168 is 1/22176
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 693,3168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,3168) = 99
common factors(in case of two or more numbers have common factors) = 1
GCF(693,3168) x common factors =99 x 1 = 99
LCM(693,3168) = ( 693 × 3168 ) / 99
LCM(693,3168) = 2195424 / 99
LCM(693,3168) = 22176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7637,7312?
The HCF of 7637,7312 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 7637/693, 7312/3168?
Answer: GCF of Numerators as per given numbers 7637/693, 7312/3168 is
GCF of Numerators i.e. for 7637,7312 is 1
LCM of denominators i.e. for 693,3168 is 22176.
Thus, GCF of Fractions is 1/22176.Finally, GCF of Fractions for 7637/693, 7312/3168 is 1/22176.