GCF of 1293/167, 1821/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1293/167, 1821/871 i.e 3/145457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1293/167, 1821/871.
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 1293/167,1821/871?
Given fractions are 1293/167,1821/871
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 1293/167,1821/871, numerators are 1293,1821
Denominators are 167,871
The GCF of 1293,1821 is 3 .
LCM of 167,871 is 145457.
The greatest common factor of 1293/167,1821/871 = [GCF of 1293,1821]/[LCM of 167,871]= 3/145457
Therefore, the GCF of 1293/167,1821/871 is 3/145457.
To find the highest common factor of 1293,1821, we have to find the factors of both numbers and list the highest common factor.
The factors of 1293 are 1, 3, 431, 1293
The factors of 1821 are 1, 3, 607, 1821
The HCF of 1293,1821 is 3.
Lets's calculate GCF of 1293,1821
| 3 | 1293, 1821 |
| 431, 607 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1293,1821 By Matching Biggest Common Factor Method
Now, list down the factors of 1293
:1,3,431,1293
Now, list down the factors of 1821
:1,3,607,1821
Greatest Common Factor
We found the factors 1293,1821 . The biggest common factor number is the GCF number.
So the greatest common factor 1293,1821 is 3.
Lets's calculate LCM of 167,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 145457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145457
Therefore, the GCF of Fractions 1293/167,1821/871 is 3/145457
Least Common Multiple of 167,871 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 167,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,871) x common factors =1 x 1 = 1
LCM(167,871) = ( 167 × 871 ) / 1
LCM(167,871) = 145457 / 1
LCM(167,871) = 145457
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FAQs on GCF of Fractions of 1293/167, 1821/871
1. What is the HCF of 1293,1821?
The HCF of 1293,1821 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 1293/167, 1821/871?
Answer: GCF of Numerators as per given numbers 1293/167, 1821/871 is
GCF of Numerators i.e. for 1293,1821 is 3
LCM of denominators i.e. for 167,871 is 145457.
Thus, GCF of Fractions is 3/145457.Finally, GCF of Fractions for 1293/167, 1821/871 is 3/145457.