GCF of 5726/218, 7490/4597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5726/218, 7490/4597 i.e 14/1002146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5726/218, 7490/4597.
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 5726/218,7490/4597?
Given fractions are 5726/218,7490/4597
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 5726/218,7490/4597, numerators are 5726,7490
Denominators are 218,4597
The GCF of 5726,7490 is 14 .
LCM of 218,4597 is 1002146.
The greatest common factor of 5726/218,7490/4597 = [GCF of 5726,7490]/[LCM of 218,4597]= 14/1002146
Therefore, the GCF of 5726/218,7490/4597 is 14/1002146.
To find the highest common factor of 5726,7490, we have to find the factors of both numbers and list the highest common factor.
The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726
The factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490
The HCF of 5726,7490 is 14.
Lets's calculate GCF of 5726,7490
| 2 | 5726, 7490 |
| 7 | 2863, 3745 |
| 409, 535 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5726,7490 By Matching Biggest Common Factor Method
Now, list down the factors of 5726
:1,2,7,14,409,818,2863,5726
Now, list down the factors of 7490
:1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490
Greatest Common Factor
We found the factors 5726,7490 . The biggest common factor number is the GCF number.
So the greatest common factor 5726,7490 is 14.
Lets's calculate LCM of 218,4597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1002146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1002146
Therefore, the GCF of Fractions 5726/218,7490/4597 is 14/1002146
Least Common Multiple of 218,4597 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 218,4597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,4597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,4597) x common factors =1 x 1 = 1
LCM(218,4597) = ( 218 × 4597 ) / 1
LCM(218,4597) = 1002146 / 1
LCM(218,4597) = 1002146
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FAQs on GCF of Fractions of 5726/218, 7490/4597
1. What is the HCF of 5726,7490?
The HCF of 5726,7490 is 14
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 5726/218, 7490/4597?
Answer: GCF of Numerators as per given numbers 5726/218, 7490/4597 is
GCF of Numerators i.e. for 5726,7490 is 14
LCM of denominators i.e. for 218,4597 is 1002146.
Thus, GCF of Fractions is 14/1002146.Finally, GCF of Fractions for 5726/218, 7490/4597 is 14/1002146.