GCF of 856/793, 389/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 856/793, 389/862 i.e 1/683566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/793, 389/862.
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 856/793,389/862?
Given fractions are 856/793,389/862
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 856/793,389/862, numerators are 856,389
Denominators are 793,862
The GCF of 856,389 is 1 .
LCM of 793,862 is 683566.
The greatest common factor of 856/793,389/862 = [GCF of 856,389]/[LCM of 793,862]= 1/683566
Therefore, the GCF of 856/793,389/862 is 1/683566.
To find the highest common factor of 856,389, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 389 are 1, 389
The HCF of 856,389 is 1.
Lets's calculate GCF of 856,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 856,389 By Matching Biggest Common Factor Method
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 389
:1,389
Greatest Common Factor
We found the factors 856,389 . The biggest common factor number is the GCF number.
So the greatest common factor 856,389 is 1.
Lets's calculate LCM of 793,862
Given numbers has no common factors except 1. So, there LCM is their product i.e 683566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683566
Therefore, the GCF of Fractions 856/793,389/862 is 1/683566
Least Common Multiple of 793,862 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 793,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,862) x common factors =1 x 1 = 1
LCM(793,862) = ( 793 × 862 ) / 1
LCM(793,862) = 683566 / 1
LCM(793,862) = 683566
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FAQs on GCF of Fractions of 856/793, 389/862
1. What is the HCF of 856,389?
The HCF of 856,389 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 856/793, 389/862?
Answer: GCF of Numerators as per given numbers 856/793, 389/862 is
GCF of Numerators i.e. for 856,389 is 1
LCM of denominators i.e. for 793,862 is 683566.
Thus, GCF of Fractions is 1/683566.Finally, GCF of Fractions for 856/793, 389/862 is 1/683566.