GCF of 631/595, 512/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/595, 512/782 i.e 1/27370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/595, 512/782.
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 631/595,512/782?
Given fractions are 631/595,512/782
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 631/595,512/782, numerators are 631,512
Denominators are 595,782
The GCF of 631,512 is 1 .
LCM of 595,782 is 27370.
The greatest common factor of 631/595,512/782 = [GCF of 631,512]/[LCM of 595,782]= 1/27370
Therefore, the GCF of 631/595,512/782 is 1/27370.
To find the highest common factor of 631,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 631,512 is 1.
Lets's calculate GCF of 631,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 631,512 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 631,512 . The biggest common factor number is the GCF number.
So the greatest common factor 631,512 is 1.
Lets's calculate LCM of 595,782
| 17 | 595, 782 |
| 35, 46 |
∴ So the LCM of the given numbers is 17 x 35 x 46 = 27370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27370
Therefore, the GCF of Fractions 631/595,512/782 is 1/27370
Least Common Multiple of 595,782 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 595,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,782) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(595,782) x common factors =17 x 1 = 17
LCM(595,782) = ( 595 × 782 ) / 17
LCM(595,782) = 465290 / 17
LCM(595,782) = 27370
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FAQs on GCF of Fractions of 631/595, 512/782
1. What is the HCF of 631,512?
The HCF of 631,512 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 631/595, 512/782?
Answer: GCF of Numerators as per given numbers 631/595, 512/782 is
GCF of Numerators i.e. for 631,512 is 1
LCM of denominators i.e. for 595,782 is 27370.
Thus, GCF of Fractions is 1/27370.Finally, GCF of Fractions for 631/595, 512/782 is 1/27370.