GCF of 5188/509, 8625/661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5188/509, 8625/661 i.e 1/336449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5188/509, 8625/661.
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 5188/509,8625/661?
Given fractions are 5188/509,8625/661
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 5188/509,8625/661, numerators are 5188,8625
Denominators are 509,661
The GCF of 5188,8625 is 1 .
LCM of 509,661 is 336449.
The greatest common factor of 5188/509,8625/661 = [GCF of 5188,8625]/[LCM of 509,661]= 1/336449
Therefore, the GCF of 5188/509,8625/661 is 1/336449.
To find the highest common factor of 5188,8625, we have to find the factors of both numbers and list the highest common factor.
The factors of 5188 are 1, 2, 4, 1297, 2594, 5188
The factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625
The HCF of 5188,8625 is 1.
Lets's calculate GCF of 5188,8625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5188,8625 By Matching Biggest Common Factor Method
Now, list down the factors of 5188
:1,2,4,1297,2594,5188
Now, list down the factors of 8625
:1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625
Greatest Common Factor
We found the factors 5188,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 5188,8625 is 1.
Lets's calculate LCM of 509,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 336449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336449
Therefore, the GCF of Fractions 5188/509,8625/661 is 1/336449
Least Common Multiple of 509,661 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 509,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,661) x common factors =1 x 1 = 1
LCM(509,661) = ( 509 × 661 ) / 1
LCM(509,661) = 336449 / 1
LCM(509,661) = 336449
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FAQs on GCF of Fractions of 5188/509, 8625/661
1. What is the HCF of 5188,8625?
The HCF of 5188,8625 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 5188/509, 8625/661?
Answer: GCF of Numerators as per given numbers 5188/509, 8625/661 is
GCF of Numerators i.e. for 5188,8625 is 1
LCM of denominators i.e. for 509,661 is 336449.
Thus, GCF of Fractions is 1/336449.Finally, GCF of Fractions for 5188/509, 8625/661 is 1/336449.