GCF of 1082/591, 3403/7110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1082/591, 3403/7110 i.e 1/1400670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/591, 3403/7110.
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 1082/591,3403/7110?
Given fractions are 1082/591,3403/7110
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 1082/591,3403/7110, numerators are 1082,3403
Denominators are 591,7110
The GCF of 1082,3403 is 1 .
LCM of 591,7110 is 1400670.
The greatest common factor of 1082/591,3403/7110 = [GCF of 1082,3403]/[LCM of 591,7110]= 1/1400670
Therefore, the GCF of 1082/591,3403/7110 is 1/1400670.
To find the highest common factor of 1082,3403, we have to find the factors of both numbers and list the highest common factor.
The factors of 1082 are 1, 2, 541, 1082
The factors of 3403 are 1, 41, 83, 3403
The HCF of 1082,3403 is 1.
Lets's calculate GCF of 1082,3403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1082,3403 By Matching Biggest Common Factor Method
Now, list down the factors of 1082
:1,2,541,1082
Now, list down the factors of 3403
:1,41,83,3403
Greatest Common Factor
We found the factors 1082,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,3403 is 1.
Lets's calculate LCM of 591,7110
| 3 | 591, 7110 |
| 197, 2370 |
∴ So the LCM of the given numbers is 3 x 197 x 2370 = 1400670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400670
Therefore, the GCF of Fractions 1082/591,3403/7110 is 1/1400670
Least Common Multiple of 591,7110 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 591,7110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,7110) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,7110) x common factors =3 x 1 = 3
LCM(591,7110) = ( 591 × 7110 ) / 3
LCM(591,7110) = 4202010 / 3
LCM(591,7110) = 1400670
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FAQs on GCF of Fractions of 1082/591, 3403/7110
1. What is the HCF of 1082,3403?
The HCF of 1082,3403 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 1082/591, 3403/7110?
Answer: GCF of Numerators as per given numbers 1082/591, 3403/7110 is
GCF of Numerators i.e. for 1082,3403 is 1
LCM of denominators i.e. for 591,7110 is 1400670.
Thus, GCF of Fractions is 1/1400670.Finally, GCF of Fractions for 1082/591, 3403/7110 is 1/1400670.