GCF of 818/72, 503/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 818/72, 503/105 i.e 1/2520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/72, 503/105.
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 818/72,503/105?
Given fractions are 818/72,503/105
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 818/72,503/105, numerators are 818,503
Denominators are 72,105
The GCF of 818,503 is 1 .
LCM of 72,105 is 2520.
The greatest common factor of 818/72,503/105 = [GCF of 818,503]/[LCM of 72,105]= 1/2520
Therefore, the GCF of 818/72,503/105 is 1/2520.
To find the highest common factor of 818,503, we have to find the factors of both numbers and list the highest common factor.
The factors of 818 are 1, 2, 409, 818
The factors of 503 are 1, 503
The HCF of 818,503 is 1.
Lets's calculate GCF of 818,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 818,503 By Matching Biggest Common Factor Method
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 503
:1,503
Greatest Common Factor
We found the factors 818,503 . The biggest common factor number is the GCF number.
So the greatest common factor 818,503 is 1.
Lets's calculate LCM of 72,105
| 3 | 72, 105 |
| 24, 35 |
∴ So the LCM of the given numbers is 3 x 24 x 35 = 2520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520
Therefore, the GCF of Fractions 818/72,503/105 is 1/2520
Least Common Multiple of 72,105 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 72,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,105) x common factors =3 x 1 = 3
LCM(72,105) = ( 72 × 105 ) / 3
LCM(72,105) = 7560 / 3
LCM(72,105) = 2520
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FAQs on GCF of Fractions of 818/72, 503/105
1. What is the HCF of 818,503?
The HCF of 818,503 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 818/72, 503/105?
Answer: GCF of Numerators as per given numbers 818/72, 503/105 is
GCF of Numerators i.e. for 818,503 is 1
LCM of denominators i.e. for 72,105 is 2520.
Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 818/72, 503/105 is 1/2520.