GCF of 631/278, 329/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/278, 329/286 i.e 1/39754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/278, 329/286.
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 631/278,329/286?
Given fractions are 631/278,329/286
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 631/278,329/286, numerators are 631,329
Denominators are 278,286
The GCF of 631,329 is 1 .
LCM of 278,286 is 39754.
The greatest common factor of 631/278,329/286 = [GCF of 631,329]/[LCM of 278,286]= 1/39754
Therefore, the GCF of 631/278,329/286 is 1/39754.
To find the highest common factor of 631,329, 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 329 are 1, 7, 47, 329
The HCF of 631,329 is 1.
Lets's calculate GCF of 631,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 631,329 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 329
:1,7,47,329
Greatest Common Factor
We found the factors 631,329 . The biggest common factor number is the GCF number.
So the greatest common factor 631,329 is 1.
Lets's calculate LCM of 278,286
| 2 | 278, 286 |
| 139, 143 |
∴ So the LCM of the given numbers is 2 x 139 x 143 = 39754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39754
Therefore, the GCF of Fractions 631/278,329/286 is 1/39754
Least Common Multiple of 278,286 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 278,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,286) x common factors =2 x 1 = 2
LCM(278,286) = ( 278 × 286 ) / 2
LCM(278,286) = 79508 / 2
LCM(278,286) = 39754
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FAQs on GCF of Fractions of 631/278, 329/286
1. What is the HCF of 631,329?
The HCF of 631,329 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 631/278, 329/286?
Answer: GCF of Numerators as per given numbers 631/278, 329/286 is
GCF of Numerators i.e. for 631,329 is 1
LCM of denominators i.e. for 278,286 is 39754.
Thus, GCF of Fractions is 1/39754.Finally, GCF of Fractions for 631/278, 329/286 is 1/39754.