GCF of 7547/987, 1814/6303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7547/987, 1814/6303 i.e 1/2073687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7547/987, 1814/6303.
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 7547/987,1814/6303?
Given fractions are 7547/987,1814/6303
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 7547/987,1814/6303, numerators are 7547,1814
Denominators are 987,6303
The GCF of 7547,1814 is 1 .
LCM of 987,6303 is 2073687.
The greatest common factor of 7547/987,1814/6303 = [GCF of 7547,1814]/[LCM of 987,6303]= 1/2073687
Therefore, the GCF of 7547/987,1814/6303 is 1/2073687.
To find the highest common factor of 7547,1814, we have to find the factors of both numbers and list the highest common factor.
The factors of 7547 are 1, 7547
The factors of 1814 are 1, 2, 907, 1814
The HCF of 7547,1814 is 1.
Lets's calculate GCF of 7547,1814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7547,1814 By Matching Biggest Common Factor Method
Now, list down the factors of 7547
:1,7547
Now, list down the factors of 1814
:1,2,907,1814
Greatest Common Factor
We found the factors 7547,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 7547,1814 is 1.
Lets's calculate LCM of 987,6303
| 3 | 987, 6303 |
| 329, 2101 |
∴ So the LCM of the given numbers is 3 x 329 x 2101 = 2073687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2073687
Therefore, the GCF of Fractions 7547/987,1814/6303 is 1/2073687
Least Common Multiple of 987,6303 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 987,6303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,6303) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,6303) x common factors =3 x 1 = 3
LCM(987,6303) = ( 987 × 6303 ) / 3
LCM(987,6303) = 6221061 / 3
LCM(987,6303) = 2073687
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FAQs on GCF of Fractions of 7547/987, 1814/6303
1. What is the HCF of 7547,1814?
The HCF of 7547,1814 is 1
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 7547/987, 1814/6303?
Answer: GCF of Numerators as per given numbers 7547/987, 1814/6303 is
GCF of Numerators i.e. for 7547,1814 is 1
LCM of denominators i.e. for 987,6303 is 2073687.
Thus, GCF of Fractions is 1/2073687.Finally, GCF of Fractions for 7547/987, 1814/6303 is 1/2073687.