GCF of 2859/376, 9876/8414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2859/376, 9876/8414 i.e 3/1581832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2859/376, 9876/8414.
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 2859/376,9876/8414?
Given fractions are 2859/376,9876/8414
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 2859/376,9876/8414, numerators are 2859,9876
Denominators are 376,8414
The GCF of 2859,9876 is 3 .
LCM of 376,8414 is 1581832.
The greatest common factor of 2859/376,9876/8414 = [GCF of 2859,9876]/[LCM of 376,8414]= 3/1581832
Therefore, the GCF of 2859/376,9876/8414 is 3/1581832.
To find the highest common factor of 2859,9876, we have to find the factors of both numbers and list the highest common factor.
The factors of 2859 are 1, 3, 953, 2859
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The HCF of 2859,9876 is 3.
Lets's calculate GCF of 2859,9876
| 3 | 2859, 9876 |
| 953, 3292 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2859,9876 By Matching Biggest Common Factor Method
Now, list down the factors of 2859
:1,3,953,2859
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 2859,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 2859,9876 is 3.
Lets's calculate LCM of 376,8414
| 2 | 376, 8414 |
| 188, 4207 |
∴ So the LCM of the given numbers is 2 x 188 x 4207 = 1581832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1581832
Therefore, the GCF of Fractions 2859/376,9876/8414 is 3/1581832
Least Common Multiple of 376,8414 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 376,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,8414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,8414) x common factors =2 x 1 = 2
LCM(376,8414) = ( 376 × 8414 ) / 2
LCM(376,8414) = 3163664 / 2
LCM(376,8414) = 1581832
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FAQs on GCF of Fractions of 2859/376, 9876/8414
1. What is the HCF of 2859,9876?
The HCF of 2859,9876 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 2859/376, 9876/8414?
Answer: GCF of Numerators as per given numbers 2859/376, 9876/8414 is
GCF of Numerators i.e. for 2859,9876 is 3
LCM of denominators i.e. for 376,8414 is 1581832.
Thus, GCF of Fractions is 3/1581832.Finally, GCF of Fractions for 2859/376, 9876/8414 is 3/1581832.