GCF of 7286/165, 7539/4753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7286/165, 7539/4753 i.e 1/784245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7286/165, 7539/4753.
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 7286/165,7539/4753?
Given fractions are 7286/165,7539/4753
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 7286/165,7539/4753, numerators are 7286,7539
Denominators are 165,4753
The GCF of 7286,7539 is 1 .
LCM of 165,4753 is 784245.
The greatest common factor of 7286/165,7539/4753 = [GCF of 7286,7539]/[LCM of 165,4753]= 1/784245
Therefore, the GCF of 7286/165,7539/4753 is 1/784245.
To find the highest common factor of 7286,7539, we have to find the factors of both numbers and list the highest common factor.
The factors of 7286 are 1, 2, 3643, 7286
The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539
The HCF of 7286,7539 is 1.
Lets's calculate GCF of 7286,7539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7286,7539 By Matching Biggest Common Factor Method
Now, list down the factors of 7286
:1,2,3643,7286
Now, list down the factors of 7539
:1,3,7,21,359,1077,2513,7539
Greatest Common Factor
We found the factors 7286,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 7286,7539 is 1.
Lets's calculate LCM of 165,4753
Given numbers has no common factors except 1. So, there LCM is their product i.e 784245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784245
Therefore, the GCF of Fractions 7286/165,7539/4753 is 1/784245
Least Common Multiple of 165,4753 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 165,4753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,4753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,4753) x common factors =1 x 1 = 1
LCM(165,4753) = ( 165 × 4753 ) / 1
LCM(165,4753) = 784245 / 1
LCM(165,4753) = 784245
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FAQs on GCF of Fractions of 7286/165, 7539/4753
1. What is the HCF of 7286,7539?
The HCF of 7286,7539 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 7286/165, 7539/4753?
Answer: GCF of Numerators as per given numbers 7286/165, 7539/4753 is
GCF of Numerators i.e. for 7286,7539 is 1
LCM of denominators i.e. for 165,4753 is 784245.
Thus, GCF of Fractions is 1/784245.Finally, GCF of Fractions for 7286/165, 7539/4753 is 1/784245.