GCF of 3597/927, 7470/9966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3597/927, 7470/9966 i.e 3/3079494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3597/927, 7470/9966.
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 3597/927,7470/9966?
Given fractions are 3597/927,7470/9966
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 3597/927,7470/9966, numerators are 3597,7470
Denominators are 927,9966
The GCF of 3597,7470 is 3 .
LCM of 927,9966 is 3079494.
The greatest common factor of 3597/927,7470/9966 = [GCF of 3597,7470]/[LCM of 927,9966]= 3/3079494
Therefore, the GCF of 3597/927,7470/9966 is 3/3079494.
To find the highest common factor of 3597,7470, we have to find the factors of both numbers and list the highest common factor.
The factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597
The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470
The HCF of 3597,7470 is 3.
Lets's calculate GCF of 3597,7470
| 3 | 3597, 7470 |
| 1199, 2490 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3597,7470 By Matching Biggest Common Factor Method
Now, list down the factors of 3597
:1,3,11,33,109,327,1199,3597
Now, list down the factors of 7470
:1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 3597,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 3597,7470 is 3.
Lets's calculate LCM of 927,9966
| 3 | 927, 9966 |
| 309, 3322 |
∴ So the LCM of the given numbers is 3 x 309 x 3322 = 3079494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3079494
Therefore, the GCF of Fractions 3597/927,7470/9966 is 3/3079494
Least Common Multiple of 927,9966 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 927,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,9966) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,9966) x common factors =3 x 1 = 3
LCM(927,9966) = ( 927 × 9966 ) / 3
LCM(927,9966) = 9238482 / 3
LCM(927,9966) = 3079494
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FAQs on GCF of Fractions of 3597/927, 7470/9966
1. What is the HCF of 3597,7470?
The HCF of 3597,7470 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 3597/927, 7470/9966?
Answer: GCF of Numerators as per given numbers 3597/927, 7470/9966 is
GCF of Numerators i.e. for 3597,7470 is 3
LCM of denominators i.e. for 927,9966 is 3079494.
Thus, GCF of Fractions is 3/3079494.Finally, GCF of Fractions for 3597/927, 7470/9966 is 3/3079494.