GCF of 5021/526, 8831/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5021/526, 8831/800 i.e 1/210400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5021/526, 8831/800.
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 5021/526,8831/800?
Given fractions are 5021/526,8831/800
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 5021/526,8831/800, numerators are 5021,8831
Denominators are 526,800
The GCF of 5021,8831 is 1 .
LCM of 526,800 is 210400.
The greatest common factor of 5021/526,8831/800 = [GCF of 5021,8831]/[LCM of 526,800]= 1/210400
Therefore, the GCF of 5021/526,8831/800 is 1/210400.
To find the highest common factor of 5021,8831, we have to find the factors of both numbers and list the highest common factor.
The factors of 5021 are 1, 5021
The factors of 8831 are 1, 8831
The HCF of 5021,8831 is 1.
Lets's calculate GCF of 5021,8831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5021,8831 By Matching Biggest Common Factor Method
Now, list down the factors of 5021
:1,5021
Now, list down the factors of 8831
:1,8831
Greatest Common Factor
We found the factors 5021,8831 . The biggest common factor number is the GCF number.
So the greatest common factor 5021,8831 is 1.
Lets's calculate LCM of 526,800
| 2 | 526, 800 |
| 263, 400 |
∴ So the LCM of the given numbers is 2 x 263 x 400 = 210400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210400
Therefore, the GCF of Fractions 5021/526,8831/800 is 1/210400
Least Common Multiple of 526,800 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 526,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,800) x common factors =2 x 1 = 2
LCM(526,800) = ( 526 × 800 ) / 2
LCM(526,800) = 420800 / 2
LCM(526,800) = 210400
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FAQs on GCF of Fractions of 5021/526, 8831/800
1. What is the HCF of 5021,8831?
The HCF of 5021,8831 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 5021/526, 8831/800?
Answer: GCF of Numerators as per given numbers 5021/526, 8831/800 is
GCF of Numerators i.e. for 5021,8831 is 1
LCM of denominators i.e. for 526,800 is 210400.
Thus, GCF of Fractions is 1/210400.Finally, GCF of Fractions for 5021/526, 8831/800 is 1/210400.