GCF of 8159/735, 1436/1382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8159/735, 1436/1382 i.e 1/1015770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8159/735, 1436/1382.
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 8159/735,1436/1382?
Given fractions are 8159/735,1436/1382
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 8159/735,1436/1382, numerators are 8159,1436
Denominators are 735,1382
The GCF of 8159,1436 is 1 .
LCM of 735,1382 is 1015770.
The greatest common factor of 8159/735,1436/1382 = [GCF of 8159,1436]/[LCM of 735,1382]= 1/1015770
Therefore, the GCF of 8159/735,1436/1382 is 1/1015770.
To find the highest common factor of 8159,1436, we have to find the factors of both numbers and list the highest common factor.
The factors of 8159 are 1, 41, 199, 8159
The factors of 1436 are 1, 2, 4, 359, 718, 1436
The HCF of 8159,1436 is 1.
Lets's calculate GCF of 8159,1436
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8159,1436 By Matching Biggest Common Factor Method
Now, list down the factors of 8159
:1,41,199,8159
Now, list down the factors of 1436
:1,2,4,359,718,1436
Greatest Common Factor
We found the factors 8159,1436 . The biggest common factor number is the GCF number.
So the greatest common factor 8159,1436 is 1.
Lets's calculate LCM of 735,1382
Given numbers has no common factors except 1. So, there LCM is their product i.e 1015770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1015770
Therefore, the GCF of Fractions 8159/735,1436/1382 is 1/1015770
Least Common Multiple of 735,1382 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 735,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,1382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,1382) x common factors =1 x 1 = 1
LCM(735,1382) = ( 735 × 1382 ) / 1
LCM(735,1382) = 1015770 / 1
LCM(735,1382) = 1015770
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FAQs on GCF of Fractions of 8159/735, 1436/1382
1. What is the HCF of 8159,1436?
The HCF of 8159,1436 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 8159/735, 1436/1382?
Answer: GCF of Numerators as per given numbers 8159/735, 1436/1382 is
GCF of Numerators i.e. for 8159,1436 is 1
LCM of denominators i.e. for 735,1382 is 1015770.
Thus, GCF of Fractions is 1/1015770.Finally, GCF of Fractions for 8159/735, 1436/1382 is 1/1015770.