GCF of 5697/360, 7452/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5697/360, 7452/674 i.e 27/121320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5697/360, 7452/674.
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 5697/360,7452/674?
Given fractions are 5697/360,7452/674
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 5697/360,7452/674, numerators are 5697,7452
Denominators are 360,674
The GCF of 5697,7452 is 27 .
LCM of 360,674 is 121320.
The greatest common factor of 5697/360,7452/674 = [GCF of 5697,7452]/[LCM of 360,674]= 27/121320
Therefore, the GCF of 5697/360,7452/674 is 27/121320.
To find the highest common factor of 5697,7452, we have to find the factors of both numbers and list the highest common factor.
The factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The HCF of 5697,7452 is 27.
Lets's calculate GCF of 5697,7452
| 3 | 5697, 7452 |
| 3 | 1899, 2484 |
| 3 | 633, 828 |
| 211, 276 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5697,7452 By Matching Biggest Common Factor Method
Now, list down the factors of 5697
:1,3,9,27,211,633,1899,5697
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Greatest Common Factor
We found the factors 5697,7452 . The biggest common factor number is the GCF number.
So the greatest common factor 5697,7452 is 27.
Lets's calculate LCM of 360,674
| 2 | 360, 674 |
| 180, 337 |
∴ So the LCM of the given numbers is 2 x 180 x 337 = 121320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/121320
Therefore, the GCF of Fractions 5697/360,7452/674 is 27/121320
Least Common Multiple of 360,674 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 360,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(360,674) x common factors =2 x 1 = 2
LCM(360,674) = ( 360 × 674 ) / 2
LCM(360,674) = 242640 / 2
LCM(360,674) = 121320
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FAQs on GCF of Fractions of 5697/360, 7452/674
1. What is the HCF of 5697,7452?
The HCF of 5697,7452 is 27
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 5697/360, 7452/674?
Answer: GCF of Numerators as per given numbers 5697/360, 7452/674 is
GCF of Numerators i.e. for 5697,7452 is 27
LCM of denominators i.e. for 360,674 is 121320.
Thus, GCF of Fractions is 27/121320.Finally, GCF of Fractions for 5697/360, 7452/674 is 27/121320.