GCF of 865/446, 7583/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 865/446, 7583/909 i.e 1/405414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 865/446, 7583/909.
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 865/446,7583/909?
Given fractions are 865/446,7583/909
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 865/446,7583/909, numerators are 865,7583
Denominators are 446,909
The GCF of 865,7583 is 1 .
LCM of 446,909 is 405414.
The greatest common factor of 865/446,7583/909 = [GCF of 865,7583]/[LCM of 446,909]= 1/405414
Therefore, the GCF of 865/446,7583/909 is 1/405414.
To find the highest common factor of 865,7583, we have to find the factors of both numbers and list the highest common factor.
The factors of 865 are 1, 5, 173, 865
The factors of 7583 are 1, 7583
The HCF of 865,7583 is 1.
Lets's calculate GCF of 865,7583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 865,7583 By Matching Biggest Common Factor Method
Now, list down the factors of 865
:1,5,173,865
Now, list down the factors of 7583
:1,7583
Greatest Common Factor
We found the factors 865,7583 . The biggest common factor number is the GCF number.
So the greatest common factor 865,7583 is 1.
Lets's calculate LCM of 446,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 405414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405414
Therefore, the GCF of Fractions 865/446,7583/909 is 1/405414
Least Common Multiple of 446,909 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 446,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,909) x common factors =1 x 1 = 1
LCM(446,909) = ( 446 × 909 ) / 1
LCM(446,909) = 405414 / 1
LCM(446,909) = 405414
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FAQs on GCF of Fractions of 865/446, 7583/909
1. What is the HCF of 865,7583?
The HCF of 865,7583 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 865/446, 7583/909?
Answer: GCF of Numerators as per given numbers 865/446, 7583/909 is
GCF of Numerators i.e. for 865,7583 is 1
LCM of denominators i.e. for 446,909 is 405414.
Thus, GCF of Fractions is 1/405414.Finally, GCF of Fractions for 865/446, 7583/909 is 1/405414.