GCF of 6965/654, 6591/6312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6965/654, 6591/6312 i.e 1/688008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6965/654, 6591/6312.
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 6965/654,6591/6312?
Given fractions are 6965/654,6591/6312
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 6965/654,6591/6312, numerators are 6965,6591
Denominators are 654,6312
The GCF of 6965,6591 is 1 .
LCM of 654,6312 is 688008.
The greatest common factor of 6965/654,6591/6312 = [GCF of 6965,6591]/[LCM of 654,6312]= 1/688008
Therefore, the GCF of 6965/654,6591/6312 is 1/688008.
To find the highest common factor of 6965,6591, we have to find the factors of both numbers and list the highest common factor.
The factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965
The factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591
The HCF of 6965,6591 is 1.
Lets's calculate GCF of 6965,6591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6965,6591 By Matching Biggest Common Factor Method
Now, list down the factors of 6965
:1,5,7,35,199,995,1393,6965
Now, list down the factors of 6591
:1,3,13,39,169,507,2197,6591
Greatest Common Factor
We found the factors 6965,6591 . The biggest common factor number is the GCF number.
So the greatest common factor 6965,6591 is 1.
Lets's calculate LCM of 654,6312
| 2 | 654, 6312 |
| 3 | 327, 3156 |
| 109, 1052 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 1052 = 688008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/688008
Therefore, the GCF of Fractions 6965/654,6591/6312 is 1/688008
Least Common Multiple of 654,6312 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 654,6312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,6312) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,6312) x common factors =6 x 1 = 6
LCM(654,6312) = ( 654 × 6312 ) / 6
LCM(654,6312) = 4128048 / 6
LCM(654,6312) = 688008
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FAQs on GCF of Fractions of 6965/654, 6591/6312
1. What is the HCF of 6965,6591?
The HCF of 6965,6591 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 6965/654, 6591/6312?
Answer: GCF of Numerators as per given numbers 6965/654, 6591/6312 is
GCF of Numerators i.e. for 6965,6591 is 1
LCM of denominators i.e. for 654,6312 is 688008.
Thus, GCF of Fractions is 1/688008.Finally, GCF of Fractions for 6965/654, 6591/6312 is 1/688008.