GCF of 873/420, 182/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 873/420, 182/610 i.e 1/25620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 873/420, 182/610.
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 873/420,182/610?
Given fractions are 873/420,182/610
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 873/420,182/610, numerators are 873,182
Denominators are 420,610
The GCF of 873,182 is 1 .
LCM of 420,610 is 25620.
The greatest common factor of 873/420,182/610 = [GCF of 873,182]/[LCM of 420,610]= 1/25620
Therefore, the GCF of 873/420,182/610 is 1/25620.
To find the highest common factor of 873,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 873 are 1, 3, 9, 97, 291, 873
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 873,182 is 1.
Lets's calculate GCF of 873,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 873,182 By Matching Biggest Common Factor Method
Now, list down the factors of 873
:1,3,9,97,291,873
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 873,182 . The biggest common factor number is the GCF number.
So the greatest common factor 873,182 is 1.
Lets's calculate LCM of 420,610
| 2 | 420, 610 |
| 5 | 210, 305 |
| 42, 61 |
∴ So the LCM of the given numbers is 2 x 5 x 42 x 61 = 25620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25620
Therefore, the GCF of Fractions 873/420,182/610 is 1/25620
Least Common Multiple of 420,610 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 420,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,610) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(420,610) x common factors =10 x 1 = 10
LCM(420,610) = ( 420 × 610 ) / 10
LCM(420,610) = 256200 / 10
LCM(420,610) = 25620
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FAQs on GCF of Fractions of 873/420, 182/610
1. What is the HCF of 873,182?
The HCF of 873,182 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 873/420, 182/610?
Answer: GCF of Numerators as per given numbers 873/420, 182/610 is
GCF of Numerators i.e. for 873,182 is 1
LCM of denominators i.e. for 420,610 is 25620.
Thus, GCF of Fractions is 1/25620.Finally, GCF of Fractions for 873/420, 182/610 is 1/25620.