GCF of 866/824, 7855/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/824, 7855/437 i.e 1/360088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/824, 7855/437.
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 866/824,7855/437?
Given fractions are 866/824,7855/437
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 866/824,7855/437, numerators are 866,7855
Denominators are 824,437
The GCF of 866,7855 is 1 .
LCM of 824,437 is 360088.
The greatest common factor of 866/824,7855/437 = [GCF of 866,7855]/[LCM of 824,437]= 1/360088
Therefore, the GCF of 866/824,7855/437 is 1/360088.
To find the highest common factor of 866,7855, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 7855 are 1, 5, 1571, 7855
The HCF of 866,7855 is 1.
Lets's calculate GCF of 866,7855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 866,7855 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 866,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 866,7855 is 1.
Lets's calculate LCM of 824,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 360088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360088
Therefore, the GCF of Fractions 866/824,7855/437 is 1/360088
Least Common Multiple of 824,437 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 824,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,437) x common factors =1 x 1 = 1
LCM(824,437) = ( 824 × 437 ) / 1
LCM(824,437) = 360088 / 1
LCM(824,437) = 360088
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FAQs on GCF of Fractions of 866/824, 7855/437
1. What is the HCF of 866,7855?
The HCF of 866,7855 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 866/824, 7855/437?
Answer: GCF of Numerators as per given numbers 866/824, 7855/437 is
GCF of Numerators i.e. for 866,7855 is 1
LCM of denominators i.e. for 824,437 is 360088.
Thus, GCF of Fractions is 1/360088.Finally, GCF of Fractions for 866/824, 7855/437 is 1/360088.