GCF of 467/456, 873/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 467/456, 873/798 i.e 1/3192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/456, 873/798.
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 467/456,873/798?
Given fractions are 467/456,873/798
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 467/456,873/798, numerators are 467,873
Denominators are 456,798
The GCF of 467,873 is 1 .
LCM of 456,798 is 3192.
The greatest common factor of 467/456,873/798 = [GCF of 467,873]/[LCM of 456,798]= 1/3192
Therefore, the GCF of 467/456,873/798 is 1/3192.
To find the highest common factor of 467,873, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 873 are 1, 3, 9, 97, 291, 873
The HCF of 467,873 is 1.
Lets's calculate GCF of 467,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 467,873 By Matching Biggest Common Factor Method
Now, list down the factors of 467
:1,467
Now, list down the factors of 873
:1,3,9,97,291,873
Greatest Common Factor
We found the factors 467,873 . The biggest common factor number is the GCF number.
So the greatest common factor 467,873 is 1.
Lets's calculate LCM of 456,798
| 2 | 456, 798 |
| 3 | 228, 399 |
| 19 | 76, 133 |
| 4, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 4 x 7 = 3192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3192
Therefore, the GCF of Fractions 467/456,873/798 is 1/3192
Least Common Multiple of 456,798 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 456,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,798) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(456,798) x common factors =114 x 1 = 114
LCM(456,798) = ( 456 × 798 ) / 114
LCM(456,798) = 363888 / 114
LCM(456,798) = 3192
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FAQs on GCF of Fractions of 467/456, 873/798
1. What is the HCF of 467,873?
The HCF of 467,873 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 467/456, 873/798?
Answer: GCF of Numerators as per given numbers 467/456, 873/798 is
GCF of Numerators i.e. for 467,873 is 1
LCM of denominators i.e. for 456,798 is 3192.
Thus, GCF of Fractions is 1/3192.Finally, GCF of Fractions for 467/456, 873/798 is 1/3192.