GCF of 8153/739, 1501/5362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8153/739, 1501/5362 i.e 1/3962518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8153/739, 1501/5362.
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 8153/739,1501/5362?
Given fractions are 8153/739,1501/5362
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 8153/739,1501/5362, numerators are 8153,1501
Denominators are 739,5362
The GCF of 8153,1501 is 1 .
LCM of 739,5362 is 3962518.
The greatest common factor of 8153/739,1501/5362 = [GCF of 8153,1501]/[LCM of 739,5362]= 1/3962518
Therefore, the GCF of 8153/739,1501/5362 is 1/3962518.
To find the highest common factor of 8153,1501, we have to find the factors of both numbers and list the highest common factor.
The factors of 8153 are 1, 31, 263, 8153
The factors of 1501 are 1, 19, 79, 1501
The HCF of 8153,1501 is 1.
Lets's calculate GCF of 8153,1501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8153,1501 By Matching Biggest Common Factor Method
Now, list down the factors of 8153
:1,31,263,8153
Now, list down the factors of 1501
:1,19,79,1501
Greatest Common Factor
We found the factors 8153,1501 . The biggest common factor number is the GCF number.
So the greatest common factor 8153,1501 is 1.
Lets's calculate LCM of 739,5362
Given numbers has no common factors except 1. So, there LCM is their product i.e 3962518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3962518
Therefore, the GCF of Fractions 8153/739,1501/5362 is 1/3962518
Least Common Multiple of 739,5362 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 739,5362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,5362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,5362) x common factors =1 x 1 = 1
LCM(739,5362) = ( 739 × 5362 ) / 1
LCM(739,5362) = 3962518 / 1
LCM(739,5362) = 3962518
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8153/739, 1501/5362
1. What is the HCF of 8153,1501?
The HCF of 8153,1501 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 8153/739, 1501/5362?
Answer: GCF of Numerators as per given numbers 8153/739, 1501/5362 is
GCF of Numerators i.e. for 8153,1501 is 1
LCM of denominators i.e. for 739,5362 is 3962518.
Thus, GCF of Fractions is 1/3962518.Finally, GCF of Fractions for 8153/739, 1501/5362 is 1/3962518.