GCF of 863/859, 140/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 863/859, 140/745 i.e 1/639955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/859, 140/745.
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 863/859,140/745?
Given fractions are 863/859,140/745
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 863/859,140/745, numerators are 863,140
Denominators are 859,745
The GCF of 863,140 is 1 .
LCM of 859,745 is 639955.
The greatest common factor of 863/859,140/745 = [GCF of 863,140]/[LCM of 859,745]= 1/639955
Therefore, the GCF of 863/859,140/745 is 1/639955.
To find the highest common factor of 863,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 863 are 1, 863
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 863,140 is 1.
Lets's calculate GCF of 863,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 863,140 By Matching Biggest Common Factor Method
Now, list down the factors of 863
:1,863
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 863,140 . The biggest common factor number is the GCF number.
So the greatest common factor 863,140 is 1.
Lets's calculate LCM of 859,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 639955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639955
Therefore, the GCF of Fractions 863/859,140/745 is 1/639955
Least Common Multiple of 859,745 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 859,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,745) x common factors =1 x 1 = 1
LCM(859,745) = ( 859 × 745 ) / 1
LCM(859,745) = 639955 / 1
LCM(859,745) = 639955
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FAQs on GCF of Fractions of 863/859, 140/745
1. What is the HCF of 863,140?
The HCF of 863,140 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 863/859, 140/745?
Answer: GCF of Numerators as per given numbers 863/859, 140/745 is
GCF of Numerators i.e. for 863,140 is 1
LCM of denominators i.e. for 859,745 is 639955.
Thus, GCF of Fractions is 1/639955.Finally, GCF of Fractions for 863/859, 140/745 is 1/639955.