GCF of 412/65, 275/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 412/65, 275/623 i.e 1/40495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 412/65, 275/623.
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 412/65,275/623?
Given fractions are 412/65,275/623
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 412/65,275/623, numerators are 412,275
Denominators are 65,623
The GCF of 412,275 is 1 .
LCM of 65,623 is 40495.
The greatest common factor of 412/65,275/623 = [GCF of 412,275]/[LCM of 65,623]= 1/40495
Therefore, the GCF of 412/65,275/623 is 1/40495.
To find the highest common factor of 412,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 412 are 1, 2, 4, 103, 206, 412
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 412,275 is 1.
Lets's calculate GCF of 412,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 412,275 By Matching Biggest Common Factor Method
Now, list down the factors of 412
:1,2,4,103,206,412
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 412,275 . The biggest common factor number is the GCF number.
So the greatest common factor 412,275 is 1.
Lets's calculate LCM of 65,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 40495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40495
Therefore, the GCF of Fractions 412/65,275/623 is 1/40495
Least Common Multiple of 65,623 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 65,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,623) x common factors =1 x 1 = 1
LCM(65,623) = ( 65 × 623 ) / 1
LCM(65,623) = 40495 / 1
LCM(65,623) = 40495
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FAQs on GCF of Fractions of 412/65, 275/623
1. What is the HCF of 412,275?
The HCF of 412,275 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 412/65, 275/623?
Answer: GCF of Numerators as per given numbers 412/65, 275/623 is
GCF of Numerators i.e. for 412,275 is 1
LCM of denominators i.e. for 65,623 is 40495.
Thus, GCF of Fractions is 1/40495.Finally, GCF of Fractions for 412/65, 275/623 is 1/40495.