GCF of 693/621, 644/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/621, 644/865 i.e 7/537165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/621, 644/865.
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 693/621,644/865?
Given fractions are 693/621,644/865
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 693/621,644/865, numerators are 693,644
Denominators are 621,865
The GCF of 693,644 is 7 .
LCM of 621,865 is 537165.
The greatest common factor of 693/621,644/865 = [GCF of 693,644]/[LCM of 621,865]= 7/537165
Therefore, the GCF of 693/621,644/865 is 7/537165.
To find the highest common factor of 693,644, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The HCF of 693,644 is 7.
Lets's calculate GCF of 693,644
| 7 | 693, 644 |
| 99, 92 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 693,644 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 693,644 . The biggest common factor number is the GCF number.
So the greatest common factor 693,644 is 7.
Lets's calculate LCM of 621,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 537165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/537165
Therefore, the GCF of Fractions 693/621,644/865 is 7/537165
Least Common Multiple of 621,865 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 621,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,865) x common factors =1 x 1 = 1
LCM(621,865) = ( 621 × 865 ) / 1
LCM(621,865) = 537165 / 1
LCM(621,865) = 537165
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FAQs on GCF of Fractions of 693/621, 644/865
1. What is the HCF of 693,644?
The HCF of 693,644 is 7
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 693/621, 644/865?
Answer: GCF of Numerators as per given numbers 693/621, 644/865 is
GCF of Numerators i.e. for 693,644 is 7
LCM of denominators i.e. for 621,865 is 537165.
Thus, GCF of Fractions is 7/537165.Finally, GCF of Fractions for 693/621, 644/865 is 7/537165.