GCF of 8363/722, 3438/4882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8363/722, 3438/4882 i.e 1/1762402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8363/722, 3438/4882.
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 8363/722,3438/4882?
Given fractions are 8363/722,3438/4882
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 8363/722,3438/4882, numerators are 8363,3438
Denominators are 722,4882
The GCF of 8363,3438 is 1 .
LCM of 722,4882 is 1762402.
The greatest common factor of 8363/722,3438/4882 = [GCF of 8363,3438]/[LCM of 722,4882]= 1/1762402
Therefore, the GCF of 8363/722,3438/4882 is 1/1762402.
To find the highest common factor of 8363,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 8363 are 1, 8363
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 8363,3438 is 1.
Lets's calculate GCF of 8363,3438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8363,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 8363
:1,8363
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 8363,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 8363,3438 is 1.
Lets's calculate LCM of 722,4882
| 2 | 722, 4882 |
| 361, 2441 |
∴ So the LCM of the given numbers is 2 x 361 x 2441 = 1762402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1762402
Therefore, the GCF of Fractions 8363/722,3438/4882 is 1/1762402
Least Common Multiple of 722,4882 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 722,4882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,4882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,4882) x common factors =2 x 1 = 2
LCM(722,4882) = ( 722 × 4882 ) / 2
LCM(722,4882) = 3524804 / 2
LCM(722,4882) = 1762402
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FAQs on GCF of Fractions of 8363/722, 3438/4882
1. What is the HCF of 8363,3438?
The HCF of 8363,3438 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 8363/722, 3438/4882?
Answer: GCF of Numerators as per given numbers 8363/722, 3438/4882 is
GCF of Numerators i.e. for 8363,3438 is 1
LCM of denominators i.e. for 722,4882 is 1762402.
Thus, GCF of Fractions is 1/1762402.Finally, GCF of Fractions for 8363/722, 3438/4882 is 1/1762402.