GCF of 618/504, 6893/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/504, 6893/378 i.e 1/1512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/504, 6893/378.
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 618/504,6893/378?
Given fractions are 618/504,6893/378
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 618/504,6893/378, numerators are 618,6893
Denominators are 504,378
The GCF of 618,6893 is 1 .
LCM of 504,378 is 1512.
The greatest common factor of 618/504,6893/378 = [GCF of 618,6893]/[LCM of 504,378]= 1/1512
Therefore, the GCF of 618/504,6893/378 is 1/1512.
To find the highest common factor of 618,6893, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 6893 are 1, 61, 113, 6893
The HCF of 618,6893 is 1.
Lets's calculate GCF of 618,6893
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 618,6893 By Matching Biggest Common Factor Method
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 6893
:1,61,113,6893
Greatest Common Factor
We found the factors 618,6893 . The biggest common factor number is the GCF number.
So the greatest common factor 618,6893 is 1.
Lets's calculate LCM of 504,378
| 2 | 504, 378 |
| 3 | 252, 189 |
| 3 | 84, 63 |
| 7 | 28, 21 |
| 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 4 x 3 = 1512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1512
Therefore, the GCF of Fractions 618/504,6893/378 is 1/1512
Least Common Multiple of 504,378 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 504,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,378) = 126
common factors(in case of two or more numbers have common factors) = 1
GCF(504,378) x common factors =126 x 1 = 126
LCM(504,378) = ( 504 × 378 ) / 126
LCM(504,378) = 190512 / 126
LCM(504,378) = 1512
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FAQs on GCF of Fractions of 618/504, 6893/378
1. What is the HCF of 618,6893?
The HCF of 618,6893 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 618/504, 6893/378?
Answer: GCF of Numerators as per given numbers 618/504, 6893/378 is
GCF of Numerators i.e. for 618,6893 is 1
LCM of denominators i.e. for 504,378 is 1512.
Thus, GCF of Fractions is 1/1512.Finally, GCF of Fractions for 618/504, 6893/378 is 1/1512.