GCF of 3876/376, 8092/951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3876/376, 8092/951 i.e 68/357576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3876/376, 8092/951.
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 3876/376,8092/951?
Given fractions are 3876/376,8092/951
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 3876/376,8092/951, numerators are 3876,8092
Denominators are 376,951
The GCF of 3876,8092 is 68 .
LCM of 376,951 is 357576.
The greatest common factor of 3876/376,8092/951 = [GCF of 3876,8092]/[LCM of 376,951]= 68/357576
Therefore, the GCF of 3876/376,8092/951 is 68/357576.
To find the highest common factor of 3876,8092, 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 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The HCF of 3876,8092 is 68.
Lets's calculate GCF of 3876,8092
| 2 | 3876, 8092 |
| 2 | 1938, 4046 |
| 17 | 969, 2023 |
| 57, 119 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 3876,8092 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 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Greatest Common Factor
We found the factors 3876,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,8092 is 68.
Lets's calculate LCM of 376,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 357576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/357576
Therefore, the GCF of Fractions 3876/376,8092/951 is 68/357576
Least Common Multiple of 376,951 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 376,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,951) x common factors =1 x 1 = 1
LCM(376,951) = ( 376 × 951 ) / 1
LCM(376,951) = 357576 / 1
LCM(376,951) = 357576
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FAQs on GCF of Fractions of 3876/376, 8092/951
1. What is the HCF of 3876,8092?
The HCF of 3876,8092 is 68
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 3876/376, 8092/951?
Answer: GCF of Numerators as per given numbers 3876/376, 8092/951 is
GCF of Numerators i.e. for 3876,8092 is 68
LCM of denominators i.e. for 376,951 is 357576.
Thus, GCF of Fractions is 68/357576.Finally, GCF of Fractions for 3876/376, 8092/951 is 68/357576.