GCF of 766/843, 365/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/843, 365/827 i.e 1/697161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/843, 365/827.
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 766/843,365/827?
Given fractions are 766/843,365/827
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 766/843,365/827, numerators are 766,365
Denominators are 843,827
The GCF of 766,365 is 1 .
LCM of 843,827 is 697161.
The greatest common factor of 766/843,365/827 = [GCF of 766,365]/[LCM of 843,827]= 1/697161
Therefore, the GCF of 766/843,365/827 is 1/697161.
To find the highest common factor of 766,365, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 365 are 1, 5, 73, 365
The HCF of 766,365 is 1.
Lets's calculate GCF of 766,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 766,365 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 365
:1,5,73,365
Greatest Common Factor
We found the factors 766,365 . The biggest common factor number is the GCF number.
So the greatest common factor 766,365 is 1.
Lets's calculate LCM of 843,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 697161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/697161
Therefore, the GCF of Fractions 766/843,365/827 is 1/697161
Least Common Multiple of 843,827 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 843,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,827) x common factors =1 x 1 = 1
LCM(843,827) = ( 843 × 827 ) / 1
LCM(843,827) = 697161 / 1
LCM(843,827) = 697161
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FAQs on GCF of Fractions of 766/843, 365/827
1. What is the HCF of 766,365?
The HCF of 766,365 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 766/843, 365/827?
Answer: GCF of Numerators as per given numbers 766/843, 365/827 is
GCF of Numerators i.e. for 766,365 is 1
LCM of denominators i.e. for 843,827 is 697161.
Thus, GCF of Fractions is 1/697161.Finally, GCF of Fractions for 766/843, 365/827 is 1/697161.