GCF of 5574/173, 7194/6054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5574/173, 7194/6054 i.e 6/1047342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5574/173, 7194/6054.
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 5574/173,7194/6054?
Given fractions are 5574/173,7194/6054
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 5574/173,7194/6054, numerators are 5574,7194
Denominators are 173,6054
The GCF of 5574,7194 is 6 .
LCM of 173,6054 is 1047342.
The greatest common factor of 5574/173,7194/6054 = [GCF of 5574,7194]/[LCM of 173,6054]= 6/1047342
Therefore, the GCF of 5574/173,7194/6054 is 6/1047342.
To find the highest common factor of 5574,7194, we have to find the factors of both numbers and list the highest common factor.
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194
The HCF of 5574,7194 is 6.
Lets's calculate GCF of 5574,7194
| 2 | 5574, 7194 |
| 3 | 2787, 3597 |
| 929, 1199 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5574,7194 By Matching Biggest Common Factor Method
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Now, list down the factors of 7194
:1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 5574,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 5574,7194 is 6.
Lets's calculate LCM of 173,6054
Given numbers has no common factors except 1. So, there LCM is their product i.e 1047342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1047342
Therefore, the GCF of Fractions 5574/173,7194/6054 is 6/1047342
Least Common Multiple of 173,6054 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 173,6054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,6054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,6054) x common factors =1 x 1 = 1
LCM(173,6054) = ( 173 × 6054 ) / 1
LCM(173,6054) = 1047342 / 1
LCM(173,6054) = 1047342
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FAQs on GCF of Fractions of 5574/173, 7194/6054
1. What is the HCF of 5574,7194?
The HCF of 5574,7194 is 6
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 5574/173, 7194/6054?
Answer: GCF of Numerators as per given numbers 5574/173, 7194/6054 is
GCF of Numerators i.e. for 5574,7194 is 6
LCM of denominators i.e. for 173,6054 is 1047342.
Thus, GCF of Fractions is 6/1047342.Finally, GCF of Fractions for 5574/173, 7194/6054 is 6/1047342.