GCF of 504/639, 507/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 504/639, 507/834 i.e 3/177642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/639, 507/834.
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 504/639,507/834?
Given fractions are 504/639,507/834
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 504/639,507/834, numerators are 504,507
Denominators are 639,834
The GCF of 504,507 is 3 .
LCM of 639,834 is 177642.
The greatest common factor of 504/639,507/834 = [GCF of 504,507]/[LCM of 639,834]= 3/177642
Therefore, the GCF of 504/639,507/834 is 3/177642.
To find the highest common factor of 504,507, we have to find the factors of both numbers and list the highest common factor.
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The factors of 507 are 1, 3, 13, 39, 169, 507
The HCF of 504,507 is 3.
Lets's calculate GCF of 504,507
| 3 | 504, 507 |
| 168, 169 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 504,507 By Matching Biggest Common Factor Method
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Now, list down the factors of 507
:1,3,13,39,169,507
Greatest Common Factor
We found the factors 504,507 . The biggest common factor number is the GCF number.
So the greatest common factor 504,507 is 3.
Lets's calculate LCM of 639,834
| 3 | 639, 834 |
| 213, 278 |
∴ So the LCM of the given numbers is 3 x 213 x 278 = 177642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/177642
Therefore, the GCF of Fractions 504/639,507/834 is 3/177642
Least Common Multiple of 639,834 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 639,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,834) x common factors =3 x 1 = 3
LCM(639,834) = ( 639 × 834 ) / 3
LCM(639,834) = 532926 / 3
LCM(639,834) = 177642
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 504/639, 507/834
1. What is the HCF of 504,507?
The HCF of 504,507 is 3
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 504/639, 507/834?
Answer: GCF of Numerators as per given numbers 504/639, 507/834 is
GCF of Numerators i.e. for 504,507 is 3
LCM of denominators i.e. for 639,834 is 177642.
Thus, GCF of Fractions is 3/177642.Finally, GCF of Fractions for 504/639, 507/834 is 3/177642.