GCF of 651/682, 644/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 651/682, 644/384 i.e 7/130944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 651/682, 644/384.
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 651/682,644/384?
Given fractions are 651/682,644/384
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 651/682,644/384, numerators are 651,644
Denominators are 682,384
The GCF of 651,644 is 7 .
LCM of 682,384 is 130944.
The greatest common factor of 651/682,644/384 = [GCF of 651,644]/[LCM of 682,384]= 7/130944
Therefore, the GCF of 651/682,644/384 is 7/130944.
To find the highest common factor of 651,644, we have to find the factors of both numbers and list the highest common factor.
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The HCF of 651,644 is 7.
Lets's calculate GCF of 651,644
| 7 | 651, 644 |
| 93, 92 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 651,644 By Matching Biggest Common Factor Method
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
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 651,644 . The biggest common factor number is the GCF number.
So the greatest common factor 651,644 is 7.
Lets's calculate LCM of 682,384
| 2 | 682, 384 |
| 341, 192 |
∴ So the LCM of the given numbers is 2 x 341 x 192 = 130944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/130944
Therefore, the GCF of Fractions 651/682,644/384 is 7/130944
Least Common Multiple of 682,384 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 682,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,384) x common factors =2 x 1 = 2
LCM(682,384) = ( 682 × 384 ) / 2
LCM(682,384) = 261888 / 2
LCM(682,384) = 130944
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FAQs on GCF of Fractions of 651/682, 644/384
1. What is the HCF of 651,644?
The HCF of 651,644 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 651/682, 644/384?
Answer: GCF of Numerators as per given numbers 651/682, 644/384 is
GCF of Numerators i.e. for 651,644 is 7
LCM of denominators i.e. for 682,384 is 130944.
Thus, GCF of Fractions is 7/130944.Finally, GCF of Fractions for 651/682, 644/384 is 7/130944.