GCF of 3876/187, 3224/9644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3876/187, 3224/9644 i.e 4/1803428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3876/187, 3224/9644.
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 3876/187,3224/9644?
Given fractions are 3876/187,3224/9644
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 3876/187,3224/9644, numerators are 3876,3224
Denominators are 187,9644
The GCF of 3876,3224 is 4 .
LCM of 187,9644 is 1803428.
The greatest common factor of 3876/187,3224/9644 = [GCF of 3876,3224]/[LCM of 187,9644]= 4/1803428
Therefore, the GCF of 3876/187,3224/9644 is 4/1803428.
To find the highest common factor of 3876,3224, 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 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224
The HCF of 3876,3224 is 4.
Lets's calculate GCF of 3876,3224
| 2 | 3876, 3224 |
| 2 | 1938, 1612 |
| 969, 806 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3876,3224 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 3224
:1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224
Greatest Common Factor
We found the factors 3876,3224 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,3224 is 4.
Lets's calculate LCM of 187,9644
Given numbers has no common factors except 1. So, there LCM is their product i.e 1803428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1803428
Therefore, the GCF of Fractions 3876/187,3224/9644 is 4/1803428
Least Common Multiple of 187,9644 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 187,9644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,9644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,9644) x common factors =1 x 1 = 1
LCM(187,9644) = ( 187 × 9644 ) / 1
LCM(187,9644) = 1803428 / 1
LCM(187,9644) = 1803428
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FAQs on GCF of Fractions of 3876/187, 3224/9644
1. What is the HCF of 3876,3224?
The HCF of 3876,3224 is 4
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 3876/187, 3224/9644?
Answer: GCF of Numerators as per given numbers 3876/187, 3224/9644 is
GCF of Numerators i.e. for 3876,3224 is 4
LCM of denominators i.e. for 187,9644 is 1803428.
Thus, GCF of Fractions is 4/1803428.Finally, GCF of Fractions for 3876/187, 3224/9644 is 4/1803428.