GCF of 8868/977, 8818/2423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8868/977, 8818/2423 i.e 2/2367271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8868/977, 8818/2423.
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 8868/977,8818/2423?
Given fractions are 8868/977,8818/2423
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 8868/977,8818/2423, numerators are 8868,8818
Denominators are 977,2423
The GCF of 8868,8818 is 2 .
LCM of 977,2423 is 2367271.
The greatest common factor of 8868/977,8818/2423 = [GCF of 8868,8818]/[LCM of 977,2423]= 2/2367271
Therefore, the GCF of 8868/977,8818/2423 is 2/2367271.
To find the highest common factor of 8868,8818, we have to find the factors of both numbers and list the highest common factor.
The factors of 8868 are 1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868
The factors of 8818 are 1, 2, 4409, 8818
The HCF of 8868,8818 is 2.
Lets's calculate GCF of 8868,8818
| 2 | 8868, 8818 |
| 4434, 4409 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8868,8818 By Matching Biggest Common Factor Method
Now, list down the factors of 8868
:1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Now, list down the factors of 8818
:1,2,4409,8818
Greatest Common Factor
We found the factors 8868,8818 . The biggest common factor number is the GCF number.
So the greatest common factor 8868,8818 is 2.
Lets's calculate LCM of 977,2423
Given numbers has no common factors except 1. So, there LCM is their product i.e 2367271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2367271
Therefore, the GCF of Fractions 8868/977,8818/2423 is 2/2367271
Least Common Multiple of 977,2423 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 977,2423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,2423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,2423) x common factors =1 x 1 = 1
LCM(977,2423) = ( 977 × 2423 ) / 1
LCM(977,2423) = 2367271 / 1
LCM(977,2423) = 2367271
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FAQs on GCF of Fractions of 8868/977, 8818/2423
1. What is the HCF of 8868,8818?
The HCF of 8868,8818 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 8868/977, 8818/2423?
Answer: GCF of Numerators as per given numbers 8868/977, 8818/2423 is
GCF of Numerators i.e. for 8868,8818 is 2
LCM of denominators i.e. for 977,2423 is 2367271.
Thus, GCF of Fractions is 2/2367271.Finally, GCF of Fractions for 8868/977, 8818/2423 is 2/2367271.