GCF of 8878/193, 5872/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8878/193, 5872/194 i.e 2/37442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8878/193, 5872/194.
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 8878/193,5872/194?
Given fractions are 8878/193,5872/194
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 8878/193,5872/194, numerators are 8878,5872
Denominators are 193,194
The GCF of 8878,5872 is 2 .
LCM of 193,194 is 37442.
The greatest common factor of 8878/193,5872/194 = [GCF of 8878,5872]/[LCM of 193,194]= 2/37442
Therefore, the GCF of 8878/193,5872/194 is 2/37442.
To find the highest common factor of 8878,5872, we have to find the factors of both numbers and list the highest common factor.
The factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878
The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872
The HCF of 8878,5872 is 2.
Lets's calculate GCF of 8878,5872
| 2 | 8878, 5872 |
| 4439, 2936 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8878,5872 By Matching Biggest Common Factor Method
Now, list down the factors of 8878
:1,2,23,46,193,386,4439,8878
Now, list down the factors of 5872
:1,2,4,8,16,367,734,1468,2936,5872
Greatest Common Factor
We found the factors 8878,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 8878,5872 is 2.
Lets's calculate LCM of 193,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 37442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37442
Therefore, the GCF of Fractions 8878/193,5872/194 is 2/37442
Least Common Multiple of 193,194 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 193,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,194) x common factors =1 x 1 = 1
LCM(193,194) = ( 193 × 194 ) / 1
LCM(193,194) = 37442 / 1
LCM(193,194) = 37442
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FAQs on GCF of Fractions of 8878/193, 5872/194
1. What is the HCF of 8878,5872?
The HCF of 8878,5872 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 8878/193, 5872/194?
Answer: GCF of Numerators as per given numbers 8878/193, 5872/194 is
GCF of Numerators i.e. for 8878,5872 is 2
LCM of denominators i.e. for 193,194 is 37442.
Thus, GCF of Fractions is 2/37442.Finally, GCF of Fractions for 8878/193, 5872/194 is 2/37442.