GCF of 7513/226, 1743/6286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7513/226, 1743/6286 i.e 1/710318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7513/226, 1743/6286.
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 7513/226,1743/6286?
Given fractions are 7513/226,1743/6286
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 7513/226,1743/6286, numerators are 7513,1743
Denominators are 226,6286
The GCF of 7513,1743 is 1 .
LCM of 226,6286 is 710318.
The greatest common factor of 7513/226,1743/6286 = [GCF of 7513,1743]/[LCM of 226,6286]= 1/710318
Therefore, the GCF of 7513/226,1743/6286 is 1/710318.
To find the highest common factor of 7513,1743, we have to find the factors of both numbers and list the highest common factor.
The factors of 7513 are 1, 11, 683, 7513
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743
The HCF of 7513,1743 is 1.
Lets's calculate GCF of 7513,1743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7513,1743 By Matching Biggest Common Factor Method
Now, list down the factors of 7513
:1,11,683,7513
Now, list down the factors of 1743
:1,3,7,21,83,249,581,1743
Greatest Common Factor
We found the factors 7513,1743 . The biggest common factor number is the GCF number.
So the greatest common factor 7513,1743 is 1.
Lets's calculate LCM of 226,6286
| 2 | 226, 6286 |
| 113, 3143 |
∴ So the LCM of the given numbers is 2 x 113 x 3143 = 710318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710318
Therefore, the GCF of Fractions 7513/226,1743/6286 is 1/710318
Least Common Multiple of 226,6286 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 226,6286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,6286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,6286) x common factors =2 x 1 = 2
LCM(226,6286) = ( 226 × 6286 ) / 2
LCM(226,6286) = 1420636 / 2
LCM(226,6286) = 710318
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FAQs on GCF of Fractions of 7513/226, 1743/6286
1. What is the HCF of 7513,1743?
The HCF of 7513,1743 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 7513/226, 1743/6286?
Answer: GCF of Numerators as per given numbers 7513/226, 1743/6286 is
GCF of Numerators i.e. for 7513,1743 is 1
LCM of denominators i.e. for 226,6286 is 710318.
Thus, GCF of Fractions is 1/710318.Finally, GCF of Fractions for 7513/226, 1743/6286 is 1/710318.