GCF of 849/271, 2274/147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 849/271, 2274/147 i.e 3/39837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/271, 2274/147.
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 849/271,2274/147?
Given fractions are 849/271,2274/147
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 849/271,2274/147, numerators are 849,2274
Denominators are 271,147
The GCF of 849,2274 is 3 .
LCM of 271,147 is 39837.
The greatest common factor of 849/271,2274/147 = [GCF of 849,2274]/[LCM of 271,147]= 3/39837
Therefore, the GCF of 849/271,2274/147 is 3/39837.
To find the highest common factor of 849,2274, we have to find the factors of both numbers and list the highest common factor.
The factors of 849 are 1, 3, 283, 849
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The HCF of 849,2274 is 3.
Lets's calculate GCF of 849,2274
| 3 | 849, 2274 |
| 283, 758 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 849,2274 By Matching Biggest Common Factor Method
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 849,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 849,2274 is 3.
Lets's calculate LCM of 271,147
Given numbers has no common factors except 1. So, there LCM is their product i.e 39837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39837
Therefore, the GCF of Fractions 849/271,2274/147 is 3/39837
Least Common Multiple of 271,147 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 271,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,147) x common factors =1 x 1 = 1
LCM(271,147) = ( 271 × 147 ) / 1
LCM(271,147) = 39837 / 1
LCM(271,147) = 39837
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FAQs on GCF of Fractions of 849/271, 2274/147
1. What is the HCF of 849,2274?
The HCF of 849,2274 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 849/271, 2274/147?
Answer: GCF of Numerators as per given numbers 849/271, 2274/147 is
GCF of Numerators i.e. for 849,2274 is 3
LCM of denominators i.e. for 271,147 is 39837.
Thus, GCF of Fractions is 3/39837.Finally, GCF of Fractions for 849/271, 2274/147 is 3/39837.