GCF of 965/321, 638/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 965/321, 638/856 i.e 1/2568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/321, 638/856.
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 965/321,638/856?
Given fractions are 965/321,638/856
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 965/321,638/856, numerators are 965,638
Denominators are 321,856
The GCF of 965,638 is 1 .
LCM of 321,856 is 2568.
The greatest common factor of 965/321,638/856 = [GCF of 965,638]/[LCM of 321,856]= 1/2568
Therefore, the GCF of 965/321,638/856 is 1/2568.
To find the highest common factor of 965,638, we have to find the factors of both numbers and list the highest common factor.
The factors of 965 are 1, 5, 193, 965
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The HCF of 965,638 is 1.
Lets's calculate GCF of 965,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 965,638 By Matching Biggest Common Factor Method
Now, list down the factors of 965
:1,5,193,965
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 965,638 . The biggest common factor number is the GCF number.
So the greatest common factor 965,638 is 1.
Lets's calculate LCM of 321,856
| 107 | 321, 856 |
| 3, 8 |
∴ So the LCM of the given numbers is 107 x 3 x 8 = 2568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2568
Therefore, the GCF of Fractions 965/321,638/856 is 1/2568
Least Common Multiple of 321,856 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 321,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,856) = 107
common factors(in case of two or more numbers have common factors) = 1
GCF(321,856) x common factors =107 x 1 = 107
LCM(321,856) = ( 321 × 856 ) / 107
LCM(321,856) = 274776 / 107
LCM(321,856) = 2568
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FAQs on GCF of Fractions of 965/321, 638/856
1. What is the HCF of 965,638?
The HCF of 965,638 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 965/321, 638/856?
Answer: GCF of Numerators as per given numbers 965/321, 638/856 is
GCF of Numerators i.e. for 965,638 is 1
LCM of denominators i.e. for 321,856 is 2568.
Thus, GCF of Fractions is 1/2568.Finally, GCF of Fractions for 965/321, 638/856 is 1/2568.