GCF of 3882/504, 7131/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3882/504, 7131/813 i.e 3/136584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3882/504, 7131/813.
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 3882/504,7131/813?
Given fractions are 3882/504,7131/813
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 3882/504,7131/813, numerators are 3882,7131
Denominators are 504,813
The GCF of 3882,7131 is 3 .
LCM of 504,813 is 136584.
The greatest common factor of 3882/504,7131/813 = [GCF of 3882,7131]/[LCM of 504,813]= 3/136584
Therefore, the GCF of 3882/504,7131/813 is 3/136584.
To find the highest common factor of 3882,7131, we have to find the factors of both numbers and list the highest common factor.
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The factors of 7131 are 1, 3, 2377, 7131
The HCF of 3882,7131 is 3.
Lets's calculate GCF of 3882,7131
| 3 | 3882, 7131 |
| 1294, 2377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3882,7131 By Matching Biggest Common Factor Method
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Now, list down the factors of 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 3882,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 3882,7131 is 3.
Lets's calculate LCM of 504,813
| 3 | 504, 813 |
| 168, 271 |
∴ So the LCM of the given numbers is 3 x 168 x 271 = 136584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136584
Therefore, the GCF of Fractions 3882/504,7131/813 is 3/136584
Least Common Multiple of 504,813 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 504,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,813) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(504,813) x common factors =3 x 1 = 3
LCM(504,813) = ( 504 × 813 ) / 3
LCM(504,813) = 409752 / 3
LCM(504,813) = 136584
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FAQs on GCF of Fractions of 3882/504, 7131/813
1. What is the HCF of 3882,7131?
The HCF of 3882,7131 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 3882/504, 7131/813?
Answer: GCF of Numerators as per given numbers 3882/504, 7131/813 is
GCF of Numerators i.e. for 3882,7131 is 3
LCM of denominators i.e. for 504,813 is 136584.
Thus, GCF of Fractions is 3/136584.Finally, GCF of Fractions for 3882/504, 7131/813 is 3/136584.