GCF of 8188/551, 5134/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8188/551, 5134/867 i.e 2/477717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8188/551, 5134/867.
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 8188/551,5134/867?
Given fractions are 8188/551,5134/867
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 8188/551,5134/867, numerators are 8188,5134
Denominators are 551,867
The GCF of 8188,5134 is 2 .
LCM of 551,867 is 477717.
The greatest common factor of 8188/551,5134/867 = [GCF of 8188,5134]/[LCM of 551,867]= 2/477717
Therefore, the GCF of 8188/551,5134/867 is 2/477717.
To find the highest common factor of 8188,5134, we have to find the factors of both numbers and list the highest common factor.
The factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188
The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134
The HCF of 8188,5134 is 2.
Lets's calculate GCF of 8188,5134
| 2 | 8188, 5134 |
| 4094, 2567 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8188,5134 By Matching Biggest Common Factor Method
Now, list down the factors of 8188
:1,2,4,23,46,89,92,178,356,2047,4094,8188
Now, list down the factors of 5134
:1,2,17,34,151,302,2567,5134
Greatest Common Factor
We found the factors 8188,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 8188,5134 is 2.
Lets's calculate LCM of 551,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 477717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/477717
Therefore, the GCF of Fractions 8188/551,5134/867 is 2/477717
Least Common Multiple of 551,867 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 551,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,867) x common factors =1 x 1 = 1
LCM(551,867) = ( 551 × 867 ) / 1
LCM(551,867) = 477717 / 1
LCM(551,867) = 477717
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FAQs on GCF of Fractions of 8188/551, 5134/867
1. What is the HCF of 8188,5134?
The HCF of 8188,5134 is 2
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 8188/551, 5134/867?
Answer: GCF of Numerators as per given numbers 8188/551, 5134/867 is
GCF of Numerators i.e. for 8188,5134 is 2
LCM of denominators i.e. for 551,867 is 477717.
Thus, GCF of Fractions is 2/477717.Finally, GCF of Fractions for 8188/551, 5134/867 is 2/477717.