GCF of 3876/818, 3540/4667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3876/818, 3540/4667 i.e 12/3817606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3876/818, 3540/4667.
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 3876/818,3540/4667?
Given fractions are 3876/818,3540/4667
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 3876/818,3540/4667, numerators are 3876,3540
Denominators are 818,4667
The GCF of 3876,3540 is 12 .
LCM of 818,4667 is 3817606.
The greatest common factor of 3876/818,3540/4667 = [GCF of 3876,3540]/[LCM of 818,4667]= 12/3817606
Therefore, the GCF of 3876/818,3540/4667 is 12/3817606.
To find the highest common factor of 3876,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 3876,3540 is 12.
Lets's calculate GCF of 3876,3540
| 2 | 3876, 3540 |
| 2 | 1938, 1770 |
| 3 | 969, 885 |
| 323, 295 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3876,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 3876,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,3540 is 12.
Lets's calculate LCM of 818,4667
Given numbers has no common factors except 1. So, there LCM is their product i.e 3817606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3817606
Therefore, the GCF of Fractions 3876/818,3540/4667 is 12/3817606
Least Common Multiple of 818,4667 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 818,4667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,4667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,4667) x common factors =1 x 1 = 1
LCM(818,4667) = ( 818 × 4667 ) / 1
LCM(818,4667) = 3817606 / 1
LCM(818,4667) = 3817606
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FAQs on GCF of Fractions of 3876/818, 3540/4667
1. What is the HCF of 3876,3540?
The HCF of 3876,3540 is 12
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 3876/818, 3540/4667?
Answer: GCF of Numerators as per given numbers 3876/818, 3540/4667 is
GCF of Numerators i.e. for 3876,3540 is 12
LCM of denominators i.e. for 818,4667 is 3817606.
Thus, GCF of Fractions is 12/3817606.Finally, GCF of Fractions for 3876/818, 3540/4667 is 12/3817606.