GCF of 603/75, 786/1023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 603/75, 786/1023 i.e 3/25575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/75, 786/1023.
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 603/75,786/1023?
Given fractions are 603/75,786/1023
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 603/75,786/1023, numerators are 603,786
Denominators are 75,1023
The GCF of 603,786 is 3 .
LCM of 75,1023 is 25575.
The greatest common factor of 603/75,786/1023 = [GCF of 603,786]/[LCM of 75,1023]= 3/25575
Therefore, the GCF of 603/75,786/1023 is 3/25575.
To find the highest common factor of 603,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 603,786 is 3.
Lets's calculate GCF of 603,786
| 3 | 603, 786 |
| 201, 262 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 603,786 By Matching Biggest Common Factor Method
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 603,786 . The biggest common factor number is the GCF number.
So the greatest common factor 603,786 is 3.
Lets's calculate LCM of 75,1023
| 3 | 75, 1023 |
| 25, 341 |
∴ So the LCM of the given numbers is 3 x 25 x 341 = 25575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25575
Therefore, the GCF of Fractions 603/75,786/1023 is 3/25575
Least Common Multiple of 75,1023 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 75,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,1023) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,1023) x common factors =3 x 1 = 3
LCM(75,1023) = ( 75 × 1023 ) / 3
LCM(75,1023) = 76725 / 3
LCM(75,1023) = 25575
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FAQs on GCF of Fractions of 603/75, 786/1023
1. What is the HCF of 603,786?
The HCF of 603,786 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 603/75, 786/1023?
Answer: GCF of Numerators as per given numbers 603/75, 786/1023 is
GCF of Numerators i.e. for 603,786 is 3
LCM of denominators i.e. for 75,1023 is 25575.
Thus, GCF of Fractions is 3/25575.Finally, GCF of Fractions for 603/75, 786/1023 is 3/25575.