GCF of 5367/167, 8451/2274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5367/167, 8451/2274 i.e 3/379758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5367/167, 8451/2274.
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 5367/167,8451/2274?
Given fractions are 5367/167,8451/2274
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 5367/167,8451/2274, numerators are 5367,8451
Denominators are 167,2274
The GCF of 5367,8451 is 3 .
LCM of 167,2274 is 379758.
The greatest common factor of 5367/167,8451/2274 = [GCF of 5367,8451]/[LCM of 167,2274]= 3/379758
Therefore, the GCF of 5367/167,8451/2274 is 3/379758.
To find the highest common factor of 5367,8451, we have to find the factors of both numbers and list the highest common factor.
The factors of 5367 are 1, 3, 1789, 5367
The factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451
The HCF of 5367,8451 is 3.
Lets's calculate GCF of 5367,8451
| 3 | 5367, 8451 |
| 1789, 2817 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5367,8451 By Matching Biggest Common Factor Method
Now, list down the factors of 5367
:1,3,1789,5367
Now, list down the factors of 8451
:1,3,9,27,313,939,2817,8451
Greatest Common Factor
We found the factors 5367,8451 . The biggest common factor number is the GCF number.
So the greatest common factor 5367,8451 is 3.
Lets's calculate LCM of 167,2274
Given numbers has no common factors except 1. So, there LCM is their product i.e 379758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/379758
Therefore, the GCF of Fractions 5367/167,8451/2274 is 3/379758
Least Common Multiple of 167,2274 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 167,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,2274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,2274) x common factors =1 x 1 = 1
LCM(167,2274) = ( 167 × 2274 ) / 1
LCM(167,2274) = 379758 / 1
LCM(167,2274) = 379758
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FAQs on GCF of Fractions of 5367/167, 8451/2274
1. What is the HCF of 5367,8451?
The HCF of 5367,8451 is 3
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 5367/167, 8451/2274?
Answer: GCF of Numerators as per given numbers 5367/167, 8451/2274 is
GCF of Numerators i.e. for 5367,8451 is 3
LCM of denominators i.e. for 167,2274 is 379758.
Thus, GCF of Fractions is 3/379758.Finally, GCF of Fractions for 5367/167, 8451/2274 is 3/379758.