GCF of 5694/553, 7584/2293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5694/553, 7584/2293 i.e 6/1268029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5694/553, 7584/2293.
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 5694/553,7584/2293?
Given fractions are 5694/553,7584/2293
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 5694/553,7584/2293, numerators are 5694,7584
Denominators are 553,2293
The GCF of 5694,7584 is 6 .
LCM of 553,2293 is 1268029.
The greatest common factor of 5694/553,7584/2293 = [GCF of 5694,7584]/[LCM of 553,2293]= 6/1268029
Therefore, the GCF of 5694/553,7584/2293 is 6/1268029.
To find the highest common factor of 5694,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 5694,7584 is 6.
Lets's calculate GCF of 5694,7584
| 2 | 5694, 7584 |
| 3 | 2847, 3792 |
| 949, 1264 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5694,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 5694
:1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 5694,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 5694,7584 is 6.
Lets's calculate LCM of 553,2293
Given numbers has no common factors except 1. So, there LCM is their product i.e 1268029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1268029
Therefore, the GCF of Fractions 5694/553,7584/2293 is 6/1268029
Least Common Multiple of 553,2293 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 553,2293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,2293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,2293) x common factors =1 x 1 = 1
LCM(553,2293) = ( 553 × 2293 ) / 1
LCM(553,2293) = 1268029 / 1
LCM(553,2293) = 1268029
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FAQs on GCF of Fractions of 5694/553, 7584/2293
1. What is the HCF of 5694,7584?
The HCF of 5694,7584 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 5694/553, 7584/2293?
Answer: GCF of Numerators as per given numbers 5694/553, 7584/2293 is
GCF of Numerators i.e. for 5694,7584 is 6
LCM of denominators i.e. for 553,2293 is 1268029.
Thus, GCF of Fractions is 6/1268029.Finally, GCF of Fractions for 5694/553, 7584/2293 is 6/1268029.