GCF of 8889/281, 9674/8551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8889/281, 9674/8551 i.e 1/2402831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8889/281, 9674/8551.
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 8889/281,9674/8551?
Given fractions are 8889/281,9674/8551
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 8889/281,9674/8551, numerators are 8889,9674
Denominators are 281,8551
The GCF of 8889,9674 is 1 .
LCM of 281,8551 is 2402831.
The greatest common factor of 8889/281,9674/8551 = [GCF of 8889,9674]/[LCM of 281,8551]= 1/2402831
Therefore, the GCF of 8889/281,9674/8551 is 1/2402831.
To find the highest common factor of 8889,9674, we have to find the factors of both numbers and list the highest common factor.
The factors of 8889 are 1, 3, 2963, 8889
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The HCF of 8889,9674 is 1.
Lets's calculate GCF of 8889,9674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8889,9674 By Matching Biggest Common Factor Method
Now, list down the factors of 8889
:1,3,2963,8889
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Greatest Common Factor
We found the factors 8889,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 8889,9674 is 1.
Lets's calculate LCM of 281,8551
Given numbers has no common factors except 1. So, there LCM is their product i.e 2402831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2402831
Therefore, the GCF of Fractions 8889/281,9674/8551 is 1/2402831
Least Common Multiple of 281,8551 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 281,8551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,8551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,8551) x common factors =1 x 1 = 1
LCM(281,8551) = ( 281 × 8551 ) / 1
LCM(281,8551) = 2402831 / 1
LCM(281,8551) = 2402831
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FAQs on GCF of Fractions of 8889/281, 9674/8551
1. What is the HCF of 8889,9674?
The HCF of 8889,9674 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 8889/281, 9674/8551?
Answer: GCF of Numerators as per given numbers 8889/281, 9674/8551 is
GCF of Numerators i.e. for 8889,9674 is 1
LCM of denominators i.e. for 281,8551 is 2402831.
Thus, GCF of Fractions is 1/2402831.Finally, GCF of Fractions for 8889/281, 9674/8551 is 1/2402831.