GCF of 6113/902, 9304/3032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6113/902, 9304/3032 i.e 1/1367432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6113/902, 9304/3032.
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 6113/902,9304/3032?
Given fractions are 6113/902,9304/3032
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 6113/902,9304/3032, numerators are 6113,9304
Denominators are 902,3032
The GCF of 6113,9304 is 1 .
LCM of 902,3032 is 1367432.
The greatest common factor of 6113/902,9304/3032 = [GCF of 6113,9304]/[LCM of 902,3032]= 1/1367432
Therefore, the GCF of 6113/902,9304/3032 is 1/1367432.
To find the highest common factor of 6113,9304, we have to find the factors of both numbers and list the highest common factor.
The factors of 6113 are 1, 6113
The factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304
The HCF of 6113,9304 is 1.
Lets's calculate GCF of 6113,9304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6113,9304 By Matching Biggest Common Factor Method
Now, list down the factors of 6113
:1,6113
Now, list down the factors of 9304
:1,2,4,8,1163,2326,4652,9304
Greatest Common Factor
We found the factors 6113,9304 . The biggest common factor number is the GCF number.
So the greatest common factor 6113,9304 is 1.
Lets's calculate LCM of 902,3032
| 2 | 902, 3032 |
| 451, 1516 |
∴ So the LCM of the given numbers is 2 x 451 x 1516 = 1367432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1367432
Therefore, the GCF of Fractions 6113/902,9304/3032 is 1/1367432
Least Common Multiple of 902,3032 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 902,3032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,3032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,3032) x common factors =2 x 1 = 2
LCM(902,3032) = ( 902 × 3032 ) / 2
LCM(902,3032) = 2734864 / 2
LCM(902,3032) = 1367432
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FAQs on GCF of Fractions of 6113/902, 9304/3032
1. What is the HCF of 6113,9304?
The HCF of 6113,9304 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 6113/902, 9304/3032?
Answer: GCF of Numerators as per given numbers 6113/902, 9304/3032 is
GCF of Numerators i.e. for 6113,9304 is 1
LCM of denominators i.e. for 902,3032 is 1367432.
Thus, GCF of Fractions is 1/1367432.Finally, GCF of Fractions for 6113/902, 9304/3032 is 1/1367432.