GCF of 3174/819, 1016/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3174/819, 1016/958 i.e 2/784602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3174/819, 1016/958.
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 3174/819,1016/958?
Given fractions are 3174/819,1016/958
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 3174/819,1016/958, numerators are 3174,1016
Denominators are 819,958
The GCF of 3174,1016 is 2 .
LCM of 819,958 is 784602.
The greatest common factor of 3174/819,1016/958 = [GCF of 3174,1016]/[LCM of 819,958]= 2/784602
Therefore, the GCF of 3174/819,1016/958 is 2/784602.
To find the highest common factor of 3174,1016, we have to find the factors of both numbers and list the highest common factor.
The factors of 3174 are 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174
The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016
The HCF of 3174,1016 is 2.
Lets's calculate GCF of 3174,1016
| 2 | 3174, 1016 |
| 1587, 508 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3174,1016 By Matching Biggest Common Factor Method
Now, list down the factors of 3174
:1,2,3,6,23,46,69,138,529,1058,1587,3174
Now, list down the factors of 1016
:1,2,4,8,127,254,508,1016
Greatest Common Factor
We found the factors 3174,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 3174,1016 is 2.
Lets's calculate LCM of 819,958
Given numbers has no common factors except 1. So, there LCM is their product i.e 784602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/784602
Therefore, the GCF of Fractions 3174/819,1016/958 is 2/784602
Least Common Multiple of 819,958 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 819,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,958) x common factors =1 x 1 = 1
LCM(819,958) = ( 819 × 958 ) / 1
LCM(819,958) = 784602 / 1
LCM(819,958) = 784602
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FAQs on GCF of Fractions of 3174/819, 1016/958
1. What is the HCF of 3174,1016?
The HCF of 3174,1016 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 3174/819, 1016/958?
Answer: GCF of Numerators as per given numbers 3174/819, 1016/958 is
GCF of Numerators i.e. for 3174,1016 is 2
LCM of denominators i.e. for 819,958 is 784602.
Thus, GCF of Fractions is 2/784602.Finally, GCF of Fractions for 3174/819, 1016/958 is 2/784602.