GCF of 8887/656, 2322/1929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8887/656, 2322/1929 i.e 1/1265424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8887/656, 2322/1929.
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 8887/656,2322/1929?
Given fractions are 8887/656,2322/1929
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 8887/656,2322/1929, numerators are 8887,2322
Denominators are 656,1929
The GCF of 8887,2322 is 1 .
LCM of 656,1929 is 1265424.
The greatest common factor of 8887/656,2322/1929 = [GCF of 8887,2322]/[LCM of 656,1929]= 1/1265424
Therefore, the GCF of 8887/656,2322/1929 is 1/1265424.
To find the highest common factor of 8887,2322, we have to find the factors of both numbers and list the highest common factor.
The factors of 8887 are 1, 8887
The factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322
The HCF of 8887,2322 is 1.
Lets's calculate GCF of 8887,2322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8887,2322 By Matching Biggest Common Factor Method
Now, list down the factors of 8887
:1,8887
Now, list down the factors of 2322
:1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322
Greatest Common Factor
We found the factors 8887,2322 . The biggest common factor number is the GCF number.
So the greatest common factor 8887,2322 is 1.
Lets's calculate LCM of 656,1929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1265424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1265424
Therefore, the GCF of Fractions 8887/656,2322/1929 is 1/1265424
Least Common Multiple of 656,1929 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 656,1929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,1929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,1929) x common factors =1 x 1 = 1
LCM(656,1929) = ( 656 × 1929 ) / 1
LCM(656,1929) = 1265424 / 1
LCM(656,1929) = 1265424
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FAQs on GCF of Fractions of 8887/656, 2322/1929
1. What is the HCF of 8887,2322?
The HCF of 8887,2322 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 8887/656, 2322/1929?
Answer: GCF of Numerators as per given numbers 8887/656, 2322/1929 is
GCF of Numerators i.e. for 8887,2322 is 1
LCM of denominators i.e. for 656,1929 is 1265424.
Thus, GCF of Fractions is 1/1265424.Finally, GCF of Fractions for 8887/656, 2322/1929 is 1/1265424.