GCF of 7843/789, 8003/6228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7843/789, 8003/6228 i.e 1/1637964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7843/789, 8003/6228.
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 7843/789,8003/6228?
Given fractions are 7843/789,8003/6228
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 7843/789,8003/6228, numerators are 7843,8003
Denominators are 789,6228
The GCF of 7843,8003 is 1 .
LCM of 789,6228 is 1637964.
The greatest common factor of 7843/789,8003/6228 = [GCF of 7843,8003]/[LCM of 789,6228]= 1/1637964
Therefore, the GCF of 7843/789,8003/6228 is 1/1637964.
To find the highest common factor of 7843,8003, we have to find the factors of both numbers and list the highest common factor.
The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843
The factors of 8003 are 1, 53, 151, 8003
The HCF of 7843,8003 is 1.
Lets's calculate GCF of 7843,8003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7843,8003 By Matching Biggest Common Factor Method
Now, list down the factors of 7843
:1,11,23,31,253,341,713,7843
Now, list down the factors of 8003
:1,53,151,8003
Greatest Common Factor
We found the factors 7843,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 7843,8003 is 1.
Lets's calculate LCM of 789,6228
| 3 | 789, 6228 |
| 263, 2076 |
∴ So the LCM of the given numbers is 3 x 263 x 2076 = 1637964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1637964
Therefore, the GCF of Fractions 7843/789,8003/6228 is 1/1637964
Least Common Multiple of 789,6228 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 789,6228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,6228) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,6228) x common factors =3 x 1 = 3
LCM(789,6228) = ( 789 × 6228 ) / 3
LCM(789,6228) = 4913892 / 3
LCM(789,6228) = 1637964
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FAQs on GCF of Fractions of 7843/789, 8003/6228
1. What is the HCF of 7843,8003?
The HCF of 7843,8003 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 7843/789, 8003/6228?
Answer: GCF of Numerators as per given numbers 7843/789, 8003/6228 is
GCF of Numerators i.e. for 7843,8003 is 1
LCM of denominators i.e. for 789,6228 is 1637964.
Thus, GCF of Fractions is 1/1637964.Finally, GCF of Fractions for 7843/789, 8003/6228 is 1/1637964.