GCF of 526/989, 5260/4483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 526/989, 5260/4483 i.e 526/4433687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/989, 5260/4483.
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 526/989,5260/4483?
Given fractions are 526/989,5260/4483
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 526/989,5260/4483, numerators are 526,5260
Denominators are 989,4483
The GCF of 526,5260 is 526 .
LCM of 989,4483 is 4433687.
The greatest common factor of 526/989,5260/4483 = [GCF of 526,5260]/[LCM of 989,4483]= 526/4433687
Therefore, the GCF of 526/989,5260/4483 is 526/4433687.
To find the highest common factor of 526,5260, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 526,5260 is 526.
Lets's calculate GCF of 526,5260
| 2 | 526, 5260 |
| 263 | 263, 2630 |
| 1, 10 |
∴ So the GCF of the given numbers is 2 x 263 = 526
Greatest Common Factor of 526,5260 By Matching Biggest Common Factor Method
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 526,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 526,5260 is 526.
Lets's calculate LCM of 989,4483
Given numbers has no common factors except 1. So, there LCM is their product i.e 4433687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 526/4433687
Therefore, the GCF of Fractions 526/989,5260/4483 is 526/4433687
Least Common Multiple of 989,4483 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 989,4483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,4483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,4483) x common factors =1 x 1 = 1
LCM(989,4483) = ( 989 × 4483 ) / 1
LCM(989,4483) = 4433687 / 1
LCM(989,4483) = 4433687
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FAQs on GCF of Fractions of 526/989, 5260/4483
1. What is the HCF of 526,5260?
The HCF of 526,5260 is 526
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 526/989, 5260/4483?
Answer: GCF of Numerators as per given numbers 526/989, 5260/4483 is
GCF of Numerators i.e. for 526,5260 is 526
LCM of denominators i.e. for 989,4483 is 4433687.
Thus, GCF of Fractions is 526/4433687.Finally, GCF of Fractions for 526/989, 5260/4483 is 526/4433687.