GCF of 504/84, 667/374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 504/84, 667/374 i.e 1/15708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/84, 667/374.
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 504/84,667/374?
Given fractions are 504/84,667/374
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 504/84,667/374, numerators are 504,667
Denominators are 84,374
The GCF of 504,667 is 1 .
LCM of 84,374 is 15708.
The greatest common factor of 504/84,667/374 = [GCF of 504,667]/[LCM of 84,374]= 1/15708
Therefore, the GCF of 504/84,667/374 is 1/15708.
To find the highest common factor of 504,667, 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 667 are 1, 23, 29, 667
The HCF of 504,667 is 1.
Lets's calculate GCF of 504,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 504,667 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 667
:1,23,29,667
Greatest Common Factor
We found the factors 504,667 . The biggest common factor number is the GCF number.
So the greatest common factor 504,667 is 1.
Lets's calculate LCM of 84,374
| 2 | 84, 374 |
| 42, 187 |
∴ So the LCM of the given numbers is 2 x 42 x 187 = 15708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15708
Therefore, the GCF of Fractions 504/84,667/374 is 1/15708
Least Common Multiple of 84,374 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 84,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,374) x common factors =2 x 1 = 2
LCM(84,374) = ( 84 × 374 ) / 2
LCM(84,374) = 31416 / 2
LCM(84,374) = 15708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 504/84, 667/374
1. What is the HCF of 504,667?
The HCF of 504,667 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 504/84, 667/374?
Answer: GCF of Numerators as per given numbers 504/84, 667/374 is
GCF of Numerators i.e. for 504,667 is 1
LCM of denominators i.e. for 84,374 is 15708.
Thus, GCF of Fractions is 1/15708.Finally, GCF of Fractions for 504/84, 667/374 is 1/15708.