GCF of 1312/470, 3089/3946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1312/470, 3089/3946 i.e 1/927310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/470, 3089/3946.
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 1312/470,3089/3946?
Given fractions are 1312/470,3089/3946
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 1312/470,3089/3946, numerators are 1312,3089
Denominators are 470,3946
The GCF of 1312,3089 is 1 .
LCM of 470,3946 is 927310.
The greatest common factor of 1312/470,3089/3946 = [GCF of 1312,3089]/[LCM of 470,3946]= 1/927310
Therefore, the GCF of 1312/470,3089/3946 is 1/927310.
To find the highest common factor of 1312,3089, we have to find the factors of both numbers and list the highest common factor.
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The factors of 3089 are 1, 3089
The HCF of 1312,3089 is 1.
Lets's calculate GCF of 1312,3089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1312,3089 By Matching Biggest Common Factor Method
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Now, list down the factors of 3089
:1,3089
Greatest Common Factor
We found the factors 1312,3089 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,3089 is 1.
Lets's calculate LCM of 470,3946
| 2 | 470, 3946 |
| 235, 1973 |
∴ So the LCM of the given numbers is 2 x 235 x 1973 = 927310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927310
Therefore, the GCF of Fractions 1312/470,3089/3946 is 1/927310
Least Common Multiple of 470,3946 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 470,3946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,3946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,3946) x common factors =2 x 1 = 2
LCM(470,3946) = ( 470 × 3946 ) / 2
LCM(470,3946) = 1854620 / 2
LCM(470,3946) = 927310
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FAQs on GCF of Fractions of 1312/470, 3089/3946
1. What is the HCF of 1312,3089?
The HCF of 1312,3089 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 1312/470, 3089/3946?
Answer: GCF of Numerators as per given numbers 1312/470, 3089/3946 is
GCF of Numerators i.e. for 1312,3089 is 1
LCM of denominators i.e. for 470,3946 is 927310.
Thus, GCF of Fractions is 1/927310.Finally, GCF of Fractions for 1312/470, 3089/3946 is 1/927310.