GCF of 8039/366, 4116/7528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8039/366, 4116/7528 i.e 1/1377624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8039/366, 4116/7528.
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 8039/366,4116/7528?
Given fractions are 8039/366,4116/7528
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 8039/366,4116/7528, numerators are 8039,4116
Denominators are 366,7528
The GCF of 8039,4116 is 1 .
LCM of 366,7528 is 1377624.
The greatest common factor of 8039/366,4116/7528 = [GCF of 8039,4116]/[LCM of 366,7528]= 1/1377624
Therefore, the GCF of 8039/366,4116/7528 is 1/1377624.
To find the highest common factor of 8039,4116, we have to find the factors of both numbers and list the highest common factor.
The factors of 8039 are 1, 8039
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The HCF of 8039,4116 is 1.
Lets's calculate GCF of 8039,4116
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8039,4116 By Matching Biggest Common Factor Method
Now, list down the factors of 8039
:1,8039
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 8039,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 8039,4116 is 1.
Lets's calculate LCM of 366,7528
| 2 | 366, 7528 |
| 183, 3764 |
∴ So the LCM of the given numbers is 2 x 183 x 3764 = 1377624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1377624
Therefore, the GCF of Fractions 8039/366,4116/7528 is 1/1377624
Least Common Multiple of 366,7528 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 366,7528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,7528) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,7528) x common factors =2 x 1 = 2
LCM(366,7528) = ( 366 × 7528 ) / 2
LCM(366,7528) = 2755248 / 2
LCM(366,7528) = 1377624
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FAQs on GCF of Fractions of 8039/366, 4116/7528
1. What is the HCF of 8039,4116?
The HCF of 8039,4116 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 8039/366, 4116/7528?
Answer: GCF of Numerators as per given numbers 8039/366, 4116/7528 is
GCF of Numerators i.e. for 8039,4116 is 1
LCM of denominators i.e. for 366,7528 is 1377624.
Thus, GCF of Fractions is 1/1377624.Finally, GCF of Fractions for 8039/366, 4116/7528 is 1/1377624.