GCF of 2318/938, 8823/8869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2318/938, 8823/8869 i.e 1/1188446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2318/938, 8823/8869.
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 2318/938,8823/8869?
Given fractions are 2318/938,8823/8869
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 2318/938,8823/8869, numerators are 2318,8823
Denominators are 938,8869
The GCF of 2318,8823 is 1 .
LCM of 938,8869 is 1188446.
The greatest common factor of 2318/938,8823/8869 = [GCF of 2318,8823]/[LCM of 938,8869]= 1/1188446
Therefore, the GCF of 2318/938,8823/8869 is 1/1188446.
To find the highest common factor of 2318,8823, we have to find the factors of both numbers and list the highest common factor.
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823
The HCF of 2318,8823 is 1.
Lets's calculate GCF of 2318,8823
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2318,8823 By Matching Biggest Common Factor Method
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Now, list down the factors of 8823
:1,3,17,51,173,519,2941,8823
Greatest Common Factor
We found the factors 2318,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 2318,8823 is 1.
Lets's calculate LCM of 938,8869
| 7 | 938, 8869 |
| 134, 1267 |
∴ So the LCM of the given numbers is 7 x 134 x 1267 = 1188446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188446
Therefore, the GCF of Fractions 2318/938,8823/8869 is 1/1188446
Least Common Multiple of 938,8869 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 938,8869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,8869) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(938,8869) x common factors =7 x 1 = 7
LCM(938,8869) = ( 938 × 8869 ) / 7
LCM(938,8869) = 8319122 / 7
LCM(938,8869) = 1188446
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FAQs on GCF of Fractions of 2318/938, 8823/8869
1. What is the HCF of 2318,8823?
The HCF of 2318,8823 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 2318/938, 8823/8869?
Answer: GCF of Numerators as per given numbers 2318/938, 8823/8869 is
GCF of Numerators i.e. for 2318,8823 is 1
LCM of denominators i.e. for 938,8869 is 1188446.
Thus, GCF of Fractions is 1/1188446.Finally, GCF of Fractions for 2318/938, 8823/8869 is 1/1188446.