GCF of 1505/784, 3134/6341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1505/784, 3134/6341 i.e 1/4971344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1505/784, 3134/6341.
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 1505/784,3134/6341?
Given fractions are 1505/784,3134/6341
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 1505/784,3134/6341, numerators are 1505,3134
Denominators are 784,6341
The GCF of 1505,3134 is 1 .
LCM of 784,6341 is 4971344.
The greatest common factor of 1505/784,3134/6341 = [GCF of 1505,3134]/[LCM of 784,6341]= 1/4971344
Therefore, the GCF of 1505/784,3134/6341 is 1/4971344.
To find the highest common factor of 1505,3134, we have to find the factors of both numbers and list the highest common factor.
The factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505
The factors of 3134 are 1, 2, 1567, 3134
The HCF of 1505,3134 is 1.
Lets's calculate GCF of 1505,3134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1505,3134 By Matching Biggest Common Factor Method
Now, list down the factors of 1505
:1,5,7,35,43,215,301,1505
Now, list down the factors of 3134
:1,2,1567,3134
Greatest Common Factor
We found the factors 1505,3134 . The biggest common factor number is the GCF number.
So the greatest common factor 1505,3134 is 1.
Lets's calculate LCM of 784,6341
Given numbers has no common factors except 1. So, there LCM is their product i.e 4971344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4971344
Therefore, the GCF of Fractions 1505/784,3134/6341 is 1/4971344
Least Common Multiple of 784,6341 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 784,6341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,6341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,6341) x common factors =1 x 1 = 1
LCM(784,6341) = ( 784 × 6341 ) / 1
LCM(784,6341) = 4971344 / 1
LCM(784,6341) = 4971344
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1505/784, 3134/6341
1. What is the HCF of 1505,3134?
The HCF of 1505,3134 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 1505/784, 3134/6341?
Answer: GCF of Numerators as per given numbers 1505/784, 3134/6341 is
GCF of Numerators i.e. for 1505,3134 is 1
LCM of denominators i.e. for 784,6341 is 4971344.
Thus, GCF of Fractions is 1/4971344.Finally, GCF of Fractions for 1505/784, 3134/6341 is 1/4971344.