GCF of 6017/442, 1561/6802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6017/442, 1561/6802 i.e 1/1503242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6017/442, 1561/6802.
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 6017/442,1561/6802?
Given fractions are 6017/442,1561/6802
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 6017/442,1561/6802, numerators are 6017,1561
Denominators are 442,6802
The GCF of 6017,1561 is 1 .
LCM of 442,6802 is 1503242.
The greatest common factor of 6017/442,1561/6802 = [GCF of 6017,1561]/[LCM of 442,6802]= 1/1503242
Therefore, the GCF of 6017/442,1561/6802 is 1/1503242.
To find the highest common factor of 6017,1561, we have to find the factors of both numbers and list the highest common factor.
The factors of 6017 are 1, 11, 547, 6017
The factors of 1561 are 1, 7, 223, 1561
The HCF of 6017,1561 is 1.
Lets's calculate GCF of 6017,1561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6017,1561 By Matching Biggest Common Factor Method
Now, list down the factors of 6017
:1,11,547,6017
Now, list down the factors of 1561
:1,7,223,1561
Greatest Common Factor
We found the factors 6017,1561 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,1561 is 1.
Lets's calculate LCM of 442,6802
| 2 | 442, 6802 |
| 221, 3401 |
∴ So the LCM of the given numbers is 2 x 221 x 3401 = 1503242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1503242
Therefore, the GCF of Fractions 6017/442,1561/6802 is 1/1503242
Least Common Multiple of 442,6802 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 442,6802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,6802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,6802) x common factors =2 x 1 = 2
LCM(442,6802) = ( 442 × 6802 ) / 2
LCM(442,6802) = 3006484 / 2
LCM(442,6802) = 1503242
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FAQs on GCF of Fractions of 6017/442, 1561/6802
1. What is the HCF of 6017,1561?
The HCF of 6017,1561 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 6017/442, 1561/6802?
Answer: GCF of Numerators as per given numbers 6017/442, 1561/6802 is
GCF of Numerators i.e. for 6017,1561 is 1
LCM of denominators i.e. for 442,6802 is 1503242.
Thus, GCF of Fractions is 1/1503242.Finally, GCF of Fractions for 6017/442, 1561/6802 is 1/1503242.