GCF of 3310/314, 4187/316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3310/314, 4187/316 i.e 1/49612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3310/314, 4187/316.
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 3310/314,4187/316?
Given fractions are 3310/314,4187/316
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 3310/314,4187/316, numerators are 3310,4187
Denominators are 314,316
The GCF of 3310,4187 is 1 .
LCM of 314,316 is 49612.
The greatest common factor of 3310/314,4187/316 = [GCF of 3310,4187]/[LCM of 314,316]= 1/49612
Therefore, the GCF of 3310/314,4187/316 is 1/49612.
To find the highest common factor of 3310,4187, we have to find the factors of both numbers and list the highest common factor.
The factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310
The factors of 4187 are 1, 53, 79, 4187
The HCF of 3310,4187 is 1.
Lets's calculate GCF of 3310,4187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3310,4187 By Matching Biggest Common Factor Method
Now, list down the factors of 3310
:1,2,5,10,331,662,1655,3310
Now, list down the factors of 4187
:1,53,79,4187
Greatest Common Factor
We found the factors 3310,4187 . The biggest common factor number is the GCF number.
So the greatest common factor 3310,4187 is 1.
Lets's calculate LCM of 314,316
| 2 | 314, 316 |
| 157, 158 |
∴ So the LCM of the given numbers is 2 x 157 x 158 = 49612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49612
Therefore, the GCF of Fractions 3310/314,4187/316 is 1/49612
Least Common Multiple of 314,316 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 314,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,316) x common factors =2 x 1 = 2
LCM(314,316) = ( 314 × 316 ) / 2
LCM(314,316) = 99224 / 2
LCM(314,316) = 49612
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3310/314, 4187/316
1. What is the HCF of 3310,4187?
The HCF of 3310,4187 is 1
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 3310/314, 4187/316?
Answer: GCF of Numerators as per given numbers 3310/314, 4187/316 is
GCF of Numerators i.e. for 3310,4187 is 1
LCM of denominators i.e. for 314,316 is 49612.
Thus, GCF of Fractions is 1/49612.Finally, GCF of Fractions for 3310/314, 4187/316 is 1/49612.