GCF of 8881/879, 9156/4757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8881/879, 9156/4757 i.e 1/4181403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8881/879, 9156/4757.
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 8881/879,9156/4757?
Given fractions are 8881/879,9156/4757
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 8881/879,9156/4757, numerators are 8881,9156
Denominators are 879,4757
The GCF of 8881,9156 is 1 .
LCM of 879,4757 is 4181403.
The greatest common factor of 8881/879,9156/4757 = [GCF of 8881,9156]/[LCM of 879,4757]= 1/4181403
Therefore, the GCF of 8881/879,9156/4757 is 1/4181403.
To find the highest common factor of 8881,9156, we have to find the factors of both numbers and list the highest common factor.
The factors of 8881 are 1, 83, 107, 8881
The factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The HCF of 8881,9156 is 1.
Lets's calculate GCF of 8881,9156
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8881,9156 By Matching Biggest Common Factor Method
Now, list down the factors of 8881
:1,83,107,8881
Now, list down the factors of 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 8881,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 8881,9156 is 1.
Lets's calculate LCM of 879,4757
Given numbers has no common factors except 1. So, there LCM is their product i.e 4181403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4181403
Therefore, the GCF of Fractions 8881/879,9156/4757 is 1/4181403
Least Common Multiple of 879,4757 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 879,4757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,4757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,4757) x common factors =1 x 1 = 1
LCM(879,4757) = ( 879 × 4757 ) / 1
LCM(879,4757) = 4181403 / 1
LCM(879,4757) = 4181403
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FAQs on GCF of Fractions of 8881/879, 9156/4757
1. What is the HCF of 8881,9156?
The HCF of 8881,9156 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 8881/879, 9156/4757?
Answer: GCF of Numerators as per given numbers 8881/879, 9156/4757 is
GCF of Numerators i.e. for 8881,9156 is 1
LCM of denominators i.e. for 879,4757 is 4181403.
Thus, GCF of Fractions is 1/4181403.Finally, GCF of Fractions for 8881/879, 9156/4757 is 1/4181403.