GCF of 873/924, 1185/892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 873/924, 1185/892 i.e 3/206052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 873/924, 1185/892.
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 873/924,1185/892?
Given fractions are 873/924,1185/892
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 873/924,1185/892, numerators are 873,1185
Denominators are 924,892
The GCF of 873,1185 is 3 .
LCM of 924,892 is 206052.
The greatest common factor of 873/924,1185/892 = [GCF of 873,1185]/[LCM of 924,892]= 3/206052
Therefore, the GCF of 873/924,1185/892 is 3/206052.
To find the highest common factor of 873,1185, 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 1185 are 1, 3, 5, 15, 79, 237, 395, 1185
The HCF of 873,1185 is 3.
Lets's calculate GCF of 873,1185
| 3 | 873, 1185 |
| 291, 395 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 873,1185 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 1185
:1,3,5,15,79,237,395,1185
Greatest Common Factor
We found the factors 873,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 873,1185 is 3.
Lets's calculate LCM of 924,892
| 2 | 924, 892 |
| 2 | 462, 446 |
| 231, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 231 x 223 = 206052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/206052
Therefore, the GCF of Fractions 873/924,1185/892 is 3/206052
Least Common Multiple of 924,892 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 924,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(924,892) x common factors =4 x 1 = 4
LCM(924,892) = ( 924 × 892 ) / 4
LCM(924,892) = 824208 / 4
LCM(924,892) = 206052
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FAQs on GCF of Fractions of 873/924, 1185/892
1. What is the HCF of 873,1185?
The HCF of 873,1185 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 873/924, 1185/892?
Answer: GCF of Numerators as per given numbers 873/924, 1185/892 is
GCF of Numerators i.e. for 873,1185 is 3
LCM of denominators i.e. for 924,892 is 206052.
Thus, GCF of Fractions is 3/206052.Finally, GCF of Fractions for 873/924, 1185/892 is 3/206052.