GCF of 8511/921, 8564/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8511/921, 8564/2146 i.e 1/1976466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8511/921, 8564/2146.
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 8511/921,8564/2146?
Given fractions are 8511/921,8564/2146
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 8511/921,8564/2146, numerators are 8511,8564
Denominators are 921,2146
The GCF of 8511,8564 is 1 .
LCM of 921,2146 is 1976466.
The greatest common factor of 8511/921,8564/2146 = [GCF of 8511,8564]/[LCM of 921,2146]= 1/1976466
Therefore, the GCF of 8511/921,8564/2146 is 1/1976466.
To find the highest common factor of 8511,8564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8511 are 1, 3, 2837, 8511
The factors of 8564 are 1, 2, 4, 2141, 4282, 8564
The HCF of 8511,8564 is 1.
Lets's calculate GCF of 8511,8564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8511,8564 By Matching Biggest Common Factor Method
Now, list down the factors of 8511
:1,3,2837,8511
Now, list down the factors of 8564
:1,2,4,2141,4282,8564
Greatest Common Factor
We found the factors 8511,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 8511,8564 is 1.
Lets's calculate LCM of 921,2146
Given numbers has no common factors except 1. So, there LCM is their product i.e 1976466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1976466
Therefore, the GCF of Fractions 8511/921,8564/2146 is 1/1976466
Least Common Multiple of 921,2146 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 921,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,2146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,2146) x common factors =1 x 1 = 1
LCM(921,2146) = ( 921 × 2146 ) / 1
LCM(921,2146) = 1976466 / 1
LCM(921,2146) = 1976466
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8511/921, 8564/2146
1. What is the HCF of 8511,8564?
The HCF of 8511,8564 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 8511/921, 8564/2146?
Answer: GCF of Numerators as per given numbers 8511/921, 8564/2146 is
GCF of Numerators i.e. for 8511,8564 is 1
LCM of denominators i.e. for 921,2146 is 1976466.
Thus, GCF of Fractions is 1/1976466.Finally, GCF of Fractions for 8511/921, 8564/2146 is 1/1976466.