GCF of 2874/330, 7816/858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2874/330, 7816/858 i.e 2/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2874/330, 7816/858.
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 2874/330,7816/858?
Given fractions are 2874/330,7816/858
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 2874/330,7816/858, numerators are 2874,7816
Denominators are 330,858
The GCF of 2874,7816 is 2 .
LCM of 330,858 is 4290.
The greatest common factor of 2874/330,7816/858 = [GCF of 2874,7816]/[LCM of 330,858]= 2/4290
Therefore, the GCF of 2874/330,7816/858 is 2/4290.
To find the highest common factor of 2874,7816, we have to find the factors of both numbers and list the highest common factor.
The factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The HCF of 2874,7816 is 2.
Lets's calculate GCF of 2874,7816
| 2 | 2874, 7816 |
| 1437, 3908 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2874,7816 By Matching Biggest Common Factor Method
Now, list down the factors of 2874
:1,2,3,6,479,958,1437,2874
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Greatest Common Factor
We found the factors 2874,7816 . The biggest common factor number is the GCF number.
So the greatest common factor 2874,7816 is 2.
Lets's calculate LCM of 330,858
| 2 | 330, 858 |
| 3 | 165, 429 |
| 11 | 55, 143 |
| 5, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 13 = 4290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4290
Therefore, the GCF of Fractions 2874/330,7816/858 is 2/4290
Least Common Multiple of 330,858 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 330,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,858) = 66
common factors(in case of two or more numbers have common factors) = 1
GCF(330,858) x common factors =66 x 1 = 66
LCM(330,858) = ( 330 × 858 ) / 66
LCM(330,858) = 283140 / 66
LCM(330,858) = 4290
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FAQs on GCF of Fractions of 2874/330, 7816/858
1. What is the HCF of 2874,7816?
The HCF of 2874,7816 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 2874/330, 7816/858?
Answer: GCF of Numerators as per given numbers 2874/330, 7816/858 is
GCF of Numerators i.e. for 2874,7816 is 2
LCM of denominators i.e. for 330,858 is 4290.
Thus, GCF of Fractions is 2/4290.Finally, GCF of Fractions for 2874/330, 7816/858 is 2/4290.