GCF of 2134/288, 5164/8569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2134/288, 5164/8569 i.e 2/2467872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2134/288, 5164/8569.
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 2134/288,5164/8569?
Given fractions are 2134/288,5164/8569
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 2134/288,5164/8569, numerators are 2134,5164
Denominators are 288,8569
The GCF of 2134,5164 is 2 .
LCM of 288,8569 is 2467872.
The greatest common factor of 2134/288,5164/8569 = [GCF of 2134,5164]/[LCM of 288,8569]= 2/2467872
Therefore, the GCF of 2134/288,5164/8569 is 2/2467872.
To find the highest common factor of 2134,5164, we have to find the factors of both numbers and list the highest common factor.
The factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134
The factors of 5164 are 1, 2, 4, 1291, 2582, 5164
The HCF of 2134,5164 is 2.
Lets's calculate GCF of 2134,5164
| 2 | 2134, 5164 |
| 1067, 2582 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2134,5164 By Matching Biggest Common Factor Method
Now, list down the factors of 2134
:1,2,11,22,97,194,1067,2134
Now, list down the factors of 5164
:1,2,4,1291,2582,5164
Greatest Common Factor
We found the factors 2134,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 2134,5164 is 2.
Lets's calculate LCM of 288,8569
Given numbers has no common factors except 1. So, there LCM is their product i.e 2467872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2467872
Therefore, the GCF of Fractions 2134/288,5164/8569 is 2/2467872
Least Common Multiple of 288,8569 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 288,8569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,8569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,8569) x common factors =1 x 1 = 1
LCM(288,8569) = ( 288 × 8569 ) / 1
LCM(288,8569) = 2467872 / 1
LCM(288,8569) = 2467872
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FAQs on GCF of Fractions of 2134/288, 5164/8569
1. What is the HCF of 2134,5164?
The HCF of 2134,5164 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 2134/288, 5164/8569?
Answer: GCF of Numerators as per given numbers 2134/288, 5164/8569 is
GCF of Numerators i.e. for 2134,5164 is 2
LCM of denominators i.e. for 288,8569 is 2467872.
Thus, GCF of Fractions is 2/2467872.Finally, GCF of Fractions for 2134/288, 5164/8569 is 2/2467872.