GCF of 5740/526, 7292/8333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5740/526, 7292/8333 i.e 4/4383158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5740/526, 7292/8333.
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 5740/526,7292/8333?
Given fractions are 5740/526,7292/8333
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 5740/526,7292/8333, numerators are 5740,7292
Denominators are 526,8333
The GCF of 5740,7292 is 4 .
LCM of 526,8333 is 4383158.
The greatest common factor of 5740/526,7292/8333 = [GCF of 5740,7292]/[LCM of 526,8333]= 4/4383158
Therefore, the GCF of 5740/526,7292/8333 is 4/4383158.
To find the highest common factor of 5740,7292, we have to find the factors of both numbers and list the highest common factor.
The factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740
The factors of 7292 are 1, 2, 4, 1823, 3646, 7292
The HCF of 5740,7292 is 4.
Lets's calculate GCF of 5740,7292
| 2 | 5740, 7292 |
| 2 | 2870, 3646 |
| 1435, 1823 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5740,7292 By Matching Biggest Common Factor Method
Now, list down the factors of 5740
:1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740
Now, list down the factors of 7292
:1,2,4,1823,3646,7292
Greatest Common Factor
We found the factors 5740,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 5740,7292 is 4.
Lets's calculate LCM of 526,8333
Given numbers has no common factors except 1. So, there LCM is their product i.e 4383158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4383158
Therefore, the GCF of Fractions 5740/526,7292/8333 is 4/4383158
Least Common Multiple of 526,8333 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 526,8333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,8333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,8333) x common factors =1 x 1 = 1
LCM(526,8333) = ( 526 × 8333 ) / 1
LCM(526,8333) = 4383158 / 1
LCM(526,8333) = 4383158
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FAQs on GCF of Fractions of 5740/526, 7292/8333
1. What is the HCF of 5740,7292?
The HCF of 5740,7292 is 4
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 5740/526, 7292/8333?
Answer: GCF of Numerators as per given numbers 5740/526, 7292/8333 is
GCF of Numerators i.e. for 5740,7292 is 4
LCM of denominators i.e. for 526,8333 is 4383158.
Thus, GCF of Fractions is 4/4383158.Finally, GCF of Fractions for 5740/526, 7292/8333 is 4/4383158.