GCF of 4174/251, 3216/2686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4174/251, 3216/2686 i.e 2/674186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4174/251, 3216/2686.
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 4174/251,3216/2686?
Given fractions are 4174/251,3216/2686
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 4174/251,3216/2686, numerators are 4174,3216
Denominators are 251,2686
The GCF of 4174,3216 is 2 .
LCM of 251,2686 is 674186.
The greatest common factor of 4174/251,3216/2686 = [GCF of 4174,3216]/[LCM of 251,2686]= 2/674186
Therefore, the GCF of 4174/251,3216/2686 is 2/674186.
To find the highest common factor of 4174,3216, we have to find the factors of both numbers and list the highest common factor.
The factors of 4174 are 1, 2, 2087, 4174
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The HCF of 4174,3216 is 2.
Lets's calculate GCF of 4174,3216
| 2 | 4174, 3216 |
| 2087, 1608 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4174,3216 By Matching Biggest Common Factor Method
Now, list down the factors of 4174
:1,2,2087,4174
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Greatest Common Factor
We found the factors 4174,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 4174,3216 is 2.
Lets's calculate LCM of 251,2686
Given numbers has no common factors except 1. So, there LCM is their product i.e 674186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/674186
Therefore, the GCF of Fractions 4174/251,3216/2686 is 2/674186
Least Common Multiple of 251,2686 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 251,2686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,2686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,2686) x common factors =1 x 1 = 1
LCM(251,2686) = ( 251 × 2686 ) / 1
LCM(251,2686) = 674186 / 1
LCM(251,2686) = 674186
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4174/251, 3216/2686
1. What is the HCF of 4174,3216?
The HCF of 4174,3216 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 4174/251, 3216/2686?
Answer: GCF of Numerators as per given numbers 4174/251, 3216/2686 is
GCF of Numerators i.e. for 4174,3216 is 2
LCM of denominators i.e. for 251,2686 is 674186.
Thus, GCF of Fractions is 2/674186.Finally, GCF of Fractions for 4174/251, 3216/2686 is 2/674186.