GCF of 5213/716, 5736/1006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5213/716, 5736/1006 i.e 1/360148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5213/716, 5736/1006.
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 5213/716,5736/1006?
Given fractions are 5213/716,5736/1006
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 5213/716,5736/1006, numerators are 5213,5736
Denominators are 716,1006
The GCF of 5213,5736 is 1 .
LCM of 716,1006 is 360148.
The greatest common factor of 5213/716,5736/1006 = [GCF of 5213,5736]/[LCM of 716,1006]= 1/360148
Therefore, the GCF of 5213/716,5736/1006 is 1/360148.
To find the highest common factor of 5213,5736, we have to find the factors of both numbers and list the highest common factor.
The factors of 5213 are 1, 13, 401, 5213
The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
The HCF of 5213,5736 is 1.
Lets's calculate GCF of 5213,5736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5213,5736 By Matching Biggest Common Factor Method
Now, list down the factors of 5213
:1,13,401,5213
Now, list down the factors of 5736
:1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Greatest Common Factor
We found the factors 5213,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 5213,5736 is 1.
Lets's calculate LCM of 716,1006
| 2 | 716, 1006 |
| 358, 503 |
∴ So the LCM of the given numbers is 2 x 358 x 503 = 360148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360148
Therefore, the GCF of Fractions 5213/716,5736/1006 is 1/360148
Least Common Multiple of 716,1006 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 716,1006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,1006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,1006) x common factors =2 x 1 = 2
LCM(716,1006) = ( 716 × 1006 ) / 2
LCM(716,1006) = 720296 / 2
LCM(716,1006) = 360148
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FAQs on GCF of Fractions of 5213/716, 5736/1006
1. What is the HCF of 5213,5736?
The HCF of 5213,5736 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 5213/716, 5736/1006?
Answer: GCF of Numerators as per given numbers 5213/716, 5736/1006 is
GCF of Numerators i.e. for 5213,5736 is 1
LCM of denominators i.e. for 716,1006 is 360148.
Thus, GCF of Fractions is 1/360148.Finally, GCF of Fractions for 5213/716, 5736/1006 is 1/360148.