GCF of 2541/184, 8358/5990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2541/184, 8358/5990 i.e 21/551080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2541/184, 8358/5990.
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 2541/184,8358/5990?
Given fractions are 2541/184,8358/5990
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 2541/184,8358/5990, numerators are 2541,8358
Denominators are 184,5990
The GCF of 2541,8358 is 21 .
LCM of 184,5990 is 551080.
The greatest common factor of 2541/184,8358/5990 = [GCF of 2541,8358]/[LCM of 184,5990]= 21/551080
Therefore, the GCF of 2541/184,8358/5990 is 21/551080.
To find the highest common factor of 2541,8358, we have to find the factors of both numbers and list the highest common factor.
The factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
The factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358
The HCF of 2541,8358 is 21.
Lets's calculate GCF of 2541,8358
| 3 | 2541, 8358 |
| 7 | 847, 2786 |
| 121, 398 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 2541,8358 By Matching Biggest Common Factor Method
Now, list down the factors of 2541
:1,3,7,11,21,33,77,121,231,363,847,2541
Now, list down the factors of 8358
:1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Greatest Common Factor
We found the factors 2541,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 2541,8358 is 21.
Lets's calculate LCM of 184,5990
| 2 | 184, 5990 |
| 92, 2995 |
∴ So the LCM of the given numbers is 2 x 92 x 2995 = 551080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/551080
Therefore, the GCF of Fractions 2541/184,8358/5990 is 21/551080
Least Common Multiple of 184,5990 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 184,5990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,5990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(184,5990) x common factors =2 x 1 = 2
LCM(184,5990) = ( 184 × 5990 ) / 2
LCM(184,5990) = 1102160 / 2
LCM(184,5990) = 551080
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FAQs on GCF of Fractions of 2541/184, 8358/5990
1. What is the HCF of 2541,8358?
The HCF of 2541,8358 is 21
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 2541/184, 8358/5990?
Answer: GCF of Numerators as per given numbers 2541/184, 8358/5990 is
GCF of Numerators i.e. for 2541,8358 is 21
LCM of denominators i.e. for 184,5990 is 551080.
Thus, GCF of Fractions is 21/551080.Finally, GCF of Fractions for 2541/184, 8358/5990 is 21/551080.