GCF of 1945/519, 4317/6434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1945/519, 4317/6434 i.e 1/3339246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1945/519, 4317/6434.
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 1945/519,4317/6434?
Given fractions are 1945/519,4317/6434
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 1945/519,4317/6434, numerators are 1945,4317
Denominators are 519,6434
The GCF of 1945,4317 is 1 .
LCM of 519,6434 is 3339246.
The greatest common factor of 1945/519,4317/6434 = [GCF of 1945,4317]/[LCM of 519,6434]= 1/3339246
Therefore, the GCF of 1945/519,4317/6434 is 1/3339246.
To find the highest common factor of 1945,4317, we have to find the factors of both numbers and list the highest common factor.
The factors of 1945 are 1, 5, 389, 1945
The factors of 4317 are 1, 3, 1439, 4317
The HCF of 1945,4317 is 1.
Lets's calculate GCF of 1945,4317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1945,4317 By Matching Biggest Common Factor Method
Now, list down the factors of 1945
:1,5,389,1945
Now, list down the factors of 4317
:1,3,1439,4317
Greatest Common Factor
We found the factors 1945,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 1945,4317 is 1.
Lets's calculate LCM of 519,6434
Given numbers has no common factors except 1. So, there LCM is their product i.e 3339246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3339246
Therefore, the GCF of Fractions 1945/519,4317/6434 is 1/3339246
Least Common Multiple of 519,6434 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 519,6434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,6434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,6434) x common factors =1 x 1 = 1
LCM(519,6434) = ( 519 × 6434 ) / 1
LCM(519,6434) = 3339246 / 1
LCM(519,6434) = 3339246
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FAQs on GCF of Fractions of 1945/519, 4317/6434
1. What is the HCF of 1945,4317?
The HCF of 1945,4317 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 1945/519, 4317/6434?
Answer: GCF of Numerators as per given numbers 1945/519, 4317/6434 is
GCF of Numerators i.e. for 1945,4317 is 1
LCM of denominators i.e. for 519,6434 is 3339246.
Thus, GCF of Fractions is 1/3339246.Finally, GCF of Fractions for 1945/519, 4317/6434 is 1/3339246.