GCF of 442/967, 8209/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 442/967, 8209/660 i.e 1/638220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/967, 8209/660.
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 442/967,8209/660?
Given fractions are 442/967,8209/660
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 442/967,8209/660, numerators are 442,8209
Denominators are 967,660
The GCF of 442,8209 is 1 .
LCM of 967,660 is 638220.
The greatest common factor of 442/967,8209/660 = [GCF of 442,8209]/[LCM of 967,660]= 1/638220
Therefore, the GCF of 442/967,8209/660 is 1/638220.
To find the highest common factor of 442,8209, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 8209 are 1, 8209
The HCF of 442,8209 is 1.
Lets's calculate GCF of 442,8209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 442,8209 By Matching Biggest Common Factor Method
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 8209
:1,8209
Greatest Common Factor
We found the factors 442,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 442,8209 is 1.
Lets's calculate LCM of 967,660
Given numbers has no common factors except 1. So, there LCM is their product i.e 638220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638220
Therefore, the GCF of Fractions 442/967,8209/660 is 1/638220
Least Common Multiple of 967,660 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 967,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,660) x common factors =1 x 1 = 1
LCM(967,660) = ( 967 × 660 ) / 1
LCM(967,660) = 638220 / 1
LCM(967,660) = 638220
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FAQs on GCF of Fractions of 442/967, 8209/660
1. What is the HCF of 442,8209?
The HCF of 442,8209 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 442/967, 8209/660?
Answer: GCF of Numerators as per given numbers 442/967, 8209/660 is
GCF of Numerators i.e. for 442,8209 is 1
LCM of denominators i.e. for 967,660 is 638220.
Thus, GCF of Fractions is 1/638220.Finally, GCF of Fractions for 442/967, 8209/660 is 1/638220.