GCF of 6736/314, 3670/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6736/314, 3670/401 i.e 2/125914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6736/314, 3670/401.
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 6736/314,3670/401?
Given fractions are 6736/314,3670/401
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 6736/314,3670/401, numerators are 6736,3670
Denominators are 314,401
The GCF of 6736,3670 is 2 .
LCM of 314,401 is 125914.
The greatest common factor of 6736/314,3670/401 = [GCF of 6736,3670]/[LCM of 314,401]= 2/125914
Therefore, the GCF of 6736/314,3670/401 is 2/125914.
To find the highest common factor of 6736,3670, we have to find the factors of both numbers and list the highest common factor.
The factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670
The HCF of 6736,3670 is 2.
Lets's calculate GCF of 6736,3670
| 2 | 6736, 3670 |
| 3368, 1835 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6736,3670 By Matching Biggest Common Factor Method
Now, list down the factors of 6736
:1,2,4,8,16,421,842,1684,3368,6736
Now, list down the factors of 3670
:1,2,5,10,367,734,1835,3670
Greatest Common Factor
We found the factors 6736,3670 . The biggest common factor number is the GCF number.
So the greatest common factor 6736,3670 is 2.
Lets's calculate LCM of 314,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 125914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125914
Therefore, the GCF of Fractions 6736/314,3670/401 is 2/125914
Least Common Multiple of 314,401 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 314,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,401) x common factors =1 x 1 = 1
LCM(314,401) = ( 314 × 401 ) / 1
LCM(314,401) = 125914 / 1
LCM(314,401) = 125914
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FAQs on GCF of Fractions of 6736/314, 3670/401
1. What is the HCF of 6736,3670?
The HCF of 6736,3670 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 6736/314, 3670/401?
Answer: GCF of Numerators as per given numbers 6736/314, 3670/401 is
GCF of Numerators i.e. for 6736,3670 is 2
LCM of denominators i.e. for 314,401 is 125914.
Thus, GCF of Fractions is 2/125914.Finally, GCF of Fractions for 6736/314, 3670/401 is 2/125914.