GCF of 3804/976, 7142/2386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3804/976, 7142/2386 i.e 2/1164368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3804/976, 7142/2386.
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 3804/976,7142/2386?
Given fractions are 3804/976,7142/2386
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 3804/976,7142/2386, numerators are 3804,7142
Denominators are 976,2386
The GCF of 3804,7142 is 2 .
LCM of 976,2386 is 1164368.
The greatest common factor of 3804/976,7142/2386 = [GCF of 3804,7142]/[LCM of 976,2386]= 2/1164368
Therefore, the GCF of 3804/976,7142/2386 is 2/1164368.
To find the highest common factor of 3804,7142, we have to find the factors of both numbers and list the highest common factor.
The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804
The factors of 7142 are 1, 2, 3571, 7142
The HCF of 3804,7142 is 2.
Lets's calculate GCF of 3804,7142
| 2 | 3804, 7142 |
| 1902, 3571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3804,7142 By Matching Biggest Common Factor Method
Now, list down the factors of 3804
:1,2,3,4,6,12,317,634,951,1268,1902,3804
Now, list down the factors of 7142
:1,2,3571,7142
Greatest Common Factor
We found the factors 3804,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,7142 is 2.
Lets's calculate LCM of 976,2386
| 2 | 976, 2386 |
| 488, 1193 |
∴ So the LCM of the given numbers is 2 x 488 x 1193 = 1164368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1164368
Therefore, the GCF of Fractions 3804/976,7142/2386 is 2/1164368
Least Common Multiple of 976,2386 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 976,2386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,2386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,2386) x common factors =2 x 1 = 2
LCM(976,2386) = ( 976 × 2386 ) / 2
LCM(976,2386) = 2328736 / 2
LCM(976,2386) = 1164368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3804/976, 7142/2386
1. What is the HCF of 3804,7142?
The HCF of 3804,7142 is 2
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 3804/976, 7142/2386?
Answer: GCF of Numerators as per given numbers 3804/976, 7142/2386 is
GCF of Numerators i.e. for 3804,7142 is 2
LCM of denominators i.e. for 976,2386 is 1164368.
Thus, GCF of Fractions is 2/1164368.Finally, GCF of Fractions for 3804/976, 7142/2386 is 2/1164368.