GCF of 8534/925, 3676/3592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8534/925, 3676/3592 i.e 2/3322600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8534/925, 3676/3592.
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 8534/925,3676/3592?
Given fractions are 8534/925,3676/3592
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 8534/925,3676/3592, numerators are 8534,3676
Denominators are 925,3592
The GCF of 8534,3676 is 2 .
LCM of 925,3592 is 3322600.
The greatest common factor of 8534/925,3676/3592 = [GCF of 8534,3676]/[LCM of 925,3592]= 2/3322600
Therefore, the GCF of 8534/925,3676/3592 is 2/3322600.
To find the highest common factor of 8534,3676, we have to find the factors of both numbers and list the highest common factor.
The factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534
The factors of 3676 are 1, 2, 4, 919, 1838, 3676
The HCF of 8534,3676 is 2.
Lets's calculate GCF of 8534,3676
| 2 | 8534, 3676 |
| 4267, 1838 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8534,3676 By Matching Biggest Common Factor Method
Now, list down the factors of 8534
:1,2,17,34,251,502,4267,8534
Now, list down the factors of 3676
:1,2,4,919,1838,3676
Greatest Common Factor
We found the factors 8534,3676 . The biggest common factor number is the GCF number.
So the greatest common factor 8534,3676 is 2.
Lets's calculate LCM of 925,3592
Given numbers has no common factors except 1. So, there LCM is their product i.e 3322600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3322600
Therefore, the GCF of Fractions 8534/925,3676/3592 is 2/3322600
Least Common Multiple of 925,3592 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 925,3592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,3592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,3592) x common factors =1 x 1 = 1
LCM(925,3592) = ( 925 × 3592 ) / 1
LCM(925,3592) = 3322600 / 1
LCM(925,3592) = 3322600
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FAQs on GCF of Fractions of 8534/925, 3676/3592
1. What is the HCF of 8534,3676?
The HCF of 8534,3676 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 8534/925, 3676/3592?
Answer: GCF of Numerators as per given numbers 8534/925, 3676/3592 is
GCF of Numerators i.e. for 8534,3676 is 2
LCM of denominators i.e. for 925,3592 is 3322600.
Thus, GCF of Fractions is 2/3322600.Finally, GCF of Fractions for 8534/925, 3676/3592 is 2/3322600.