GCF of 7873/200, 1444/805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7873/200, 1444/805 i.e 1/32200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7873/200, 1444/805.
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 7873/200,1444/805?
Given fractions are 7873/200,1444/805
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 7873/200,1444/805, numerators are 7873,1444
Denominators are 200,805
The GCF of 7873,1444 is 1 .
LCM of 200,805 is 32200.
The greatest common factor of 7873/200,1444/805 = [GCF of 7873,1444]/[LCM of 200,805]= 1/32200
Therefore, the GCF of 7873/200,1444/805 is 1/32200.
To find the highest common factor of 7873,1444, we have to find the factors of both numbers and list the highest common factor.
The factors of 7873 are 1, 7873
The factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444
The HCF of 7873,1444 is 1.
Lets's calculate GCF of 7873,1444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7873,1444 By Matching Biggest Common Factor Method
Now, list down the factors of 7873
:1,7873
Now, list down the factors of 1444
:1,2,4,19,38,76,361,722,1444
Greatest Common Factor
We found the factors 7873,1444 . The biggest common factor number is the GCF number.
So the greatest common factor 7873,1444 is 1.
Lets's calculate LCM of 200,805
| 5 | 200, 805 |
| 40, 161 |
∴ So the LCM of the given numbers is 5 x 40 x 161 = 32200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32200
Therefore, the GCF of Fractions 7873/200,1444/805 is 1/32200
Least Common Multiple of 200,805 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 200,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,805) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(200,805) x common factors =5 x 1 = 5
LCM(200,805) = ( 200 × 805 ) / 5
LCM(200,805) = 161000 / 5
LCM(200,805) = 32200
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FAQs on GCF of Fractions of 7873/200, 1444/805
1. What is the HCF of 7873,1444?
The HCF of 7873,1444 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 7873/200, 1444/805?
Answer: GCF of Numerators as per given numbers 7873/200, 1444/805 is
GCF of Numerators i.e. for 7873,1444 is 1
LCM of denominators i.e. for 200,805 is 32200.
Thus, GCF of Fractions is 1/32200.Finally, GCF of Fractions for 7873/200, 1444/805 is 1/32200.