GCF of 766/873, 886/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/873, 886/794 i.e 2/693162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/873, 886/794.
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 766/873,886/794?
Given fractions are 766/873,886/794
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 766/873,886/794, numerators are 766,886
Denominators are 873,794
The GCF of 766,886 is 2 .
LCM of 873,794 is 693162.
The greatest common factor of 766/873,886/794 = [GCF of 766,886]/[LCM of 873,794]= 2/693162
Therefore, the GCF of 766/873,886/794 is 2/693162.
To find the highest common factor of 766,886, 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 886 are 1, 2, 443, 886
The HCF of 766,886 is 2.
Lets's calculate GCF of 766,886
| 2 | 766, 886 |
| 383, 443 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 766,886 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 766,886 . The biggest common factor number is the GCF number.
So the greatest common factor 766,886 is 2.
Lets's calculate LCM of 873,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 693162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/693162
Therefore, the GCF of Fractions 766/873,886/794 is 2/693162
Least Common Multiple of 873,794 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 873,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,794) x common factors =1 x 1 = 1
LCM(873,794) = ( 873 × 794 ) / 1
LCM(873,794) = 693162 / 1
LCM(873,794) = 693162
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FAQs on GCF of Fractions of 766/873, 886/794
1. What is the HCF of 766,886?
The HCF of 766,886 is 2
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 766/873, 886/794?
Answer: GCF of Numerators as per given numbers 766/873, 886/794 is
GCF of Numerators i.e. for 766,886 is 2
LCM of denominators i.e. for 873,794 is 693162.
Thus, GCF of Fractions is 2/693162.Finally, GCF of Fractions for 766/873, 886/794 is 2/693162.