GCF of 873/42, 291/2249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 873/42, 291/2249 i.e 291/94458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 873/42, 291/2249.
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 873/42,291/2249?
Given fractions are 873/42,291/2249
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 873/42,291/2249, numerators are 873,291
Denominators are 42,2249
The GCF of 873,291 is 291 .
LCM of 42,2249 is 94458.
The greatest common factor of 873/42,291/2249 = [GCF of 873,291]/[LCM of 42,2249]= 291/94458
Therefore, the GCF of 873/42,291/2249 is 291/94458.
To find the highest common factor of 873,291, 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 291 are 1, 3, 97, 291
The HCF of 873,291 is 291.
Lets's calculate GCF of 873,291
| 3 | 873, 291 |
| 97 | 291, 97 |
| 3, 1 |
∴ So the GCF of the given numbers is 3 x 97 = 291
Greatest Common Factor of 873,291 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 291
:1,3,97,291
Greatest Common Factor
We found the factors 873,291 . The biggest common factor number is the GCF number.
So the greatest common factor 873,291 is 291.
Lets's calculate LCM of 42,2249
Given numbers has no common factors except 1. So, there LCM is their product i.e 94458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 291/94458
Therefore, the GCF of Fractions 873/42,291/2249 is 291/94458
Least Common Multiple of 42,2249 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 42,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,2249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,2249) x common factors =1 x 1 = 1
LCM(42,2249) = ( 42 × 2249 ) / 1
LCM(42,2249) = 94458 / 1
LCM(42,2249) = 94458
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FAQs on GCF of Fractions of 873/42, 291/2249
1. What is the HCF of 873,291?
The HCF of 873,291 is 291
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 873/42, 291/2249?
Answer: GCF of Numerators as per given numbers 873/42, 291/2249 is
GCF of Numerators i.e. for 873,291 is 291
LCM of denominators i.e. for 42,2249 is 94458.
Thus, GCF of Fractions is 291/94458.Finally, GCF of Fractions for 873/42, 291/2249 is 291/94458.