GCF of 5574/201, 1030/7053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5574/201, 1030/7053 i.e 2/472551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5574/201, 1030/7053.
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 5574/201,1030/7053?
Given fractions are 5574/201,1030/7053
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 5574/201,1030/7053, numerators are 5574,1030
Denominators are 201,7053
The GCF of 5574,1030 is 2 .
LCM of 201,7053 is 472551.
The greatest common factor of 5574/201,1030/7053 = [GCF of 5574,1030]/[LCM of 201,7053]= 2/472551
Therefore, the GCF of 5574/201,1030/7053 is 2/472551.
To find the highest common factor of 5574,1030, 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 1030 are 1, 2, 5, 10, 103, 206, 515, 1030
The HCF of 5574,1030 is 2.
Lets's calculate GCF of 5574,1030
| 2 | 5574, 1030 |
| 2787, 515 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5574,1030 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 1030
:1,2,5,10,103,206,515,1030
Greatest Common Factor
We found the factors 5574,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 5574,1030 is 2.
Lets's calculate LCM of 201,7053
| 3 | 201, 7053 |
| 67, 2351 |
∴ So the LCM of the given numbers is 3 x 67 x 2351 = 472551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/472551
Therefore, the GCF of Fractions 5574/201,1030/7053 is 2/472551
Least Common Multiple of 201,7053 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 201,7053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,7053) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,7053) x common factors =3 x 1 = 3
LCM(201,7053) = ( 201 × 7053 ) / 3
LCM(201,7053) = 1417653 / 3
LCM(201,7053) = 472551
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FAQs on GCF of Fractions of 5574/201, 1030/7053
1. What is the HCF of 5574,1030?
The HCF of 5574,1030 is 2
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 5574/201, 1030/7053?
Answer: GCF of Numerators as per given numbers 5574/201, 1030/7053 is
GCF of Numerators i.e. for 5574,1030 is 2
LCM of denominators i.e. for 201,7053 is 472551.
Thus, GCF of Fractions is 2/472551.Finally, GCF of Fractions for 5574/201, 1030/7053 is 2/472551.