GCF of 7665/634, 6321/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7665/634, 6321/695 i.e 21/440630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7665/634, 6321/695.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7665/634,6321/695?
Given fractions are 7665/634,6321/695
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 7665/634,6321/695, numerators are 7665,6321
Denominators are 634,695
The GCF of 7665,6321 is 21 .
LCM of 634,695 is 440630.
The greatest common factor of 7665/634,6321/695 = [GCF of 7665,6321]/[LCM of 634,695]= 21/440630
Therefore, the GCF of 7665/634,6321/695 is 21/440630.
To find the highest common factor of 7665,6321, we have to find the factors of both numbers and list the highest common factor.
The factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
The factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321
The HCF of 7665,6321 is 21.
Lets's calculate GCF of 7665,6321
| 3 | 7665, 6321 |
| 7 | 2555, 2107 |
| 365, 301 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 7665,6321 By Matching Biggest Common Factor Method
Now, list down the factors of 7665
:1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Now, list down the factors of 6321
:1,3,7,21,43,49,129,147,301,903,2107,6321
Greatest Common Factor
We found the factors 7665,6321 . The biggest common factor number is the GCF number.
So the greatest common factor 7665,6321 is 21.
Lets's calculate LCM of 634,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 440630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/440630
Therefore, the GCF of Fractions 7665/634,6321/695 is 21/440630
Least Common Multiple of 634,695 with GCF Formula
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 634,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,695) x common factors =1 x 1 = 1
LCM(634,695) = ( 634 × 695 ) / 1
LCM(634,695) = 440630 / 1
LCM(634,695) = 440630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7665/634, 6321/695
1. What is the HCF of 7665,6321?
The HCF of 7665,6321 is 21
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 7665/634, 6321/695?
Answer: GCF of Numerators as per given numbers 7665/634, 6321/695 is
GCF of Numerators i.e. for 7665,6321 is 21
LCM of denominators i.e. for 634,695 is 440630.
Thus, GCF of Fractions is 21/440630.Finally, GCF of Fractions for 7665/634, 6321/695 is 21/440630.