GCF of 7082/646, 1454/3132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7082/646, 1454/3132 i.e 2/1011636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7082/646, 1454/3132.
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 7082/646,1454/3132?
Given fractions are 7082/646,1454/3132
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 7082/646,1454/3132, numerators are 7082,1454
Denominators are 646,3132
The GCF of 7082,1454 is 2 .
LCM of 646,3132 is 1011636.
The greatest common factor of 7082/646,1454/3132 = [GCF of 7082,1454]/[LCM of 646,3132]= 2/1011636
Therefore, the GCF of 7082/646,1454/3132 is 2/1011636.
To find the highest common factor of 7082,1454, we have to find the factors of both numbers and list the highest common factor.
The factors of 7082 are 1, 2, 3541, 7082
The factors of 1454 are 1, 2, 727, 1454
The HCF of 7082,1454 is 2.
Lets's calculate GCF of 7082,1454
| 2 | 7082, 1454 |
| 3541, 727 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7082,1454 By Matching Biggest Common Factor Method
Now, list down the factors of 7082
:1,2,3541,7082
Now, list down the factors of 1454
:1,2,727,1454
Greatest Common Factor
We found the factors 7082,1454 . The biggest common factor number is the GCF number.
So the greatest common factor 7082,1454 is 2.
Lets's calculate LCM of 646,3132
| 2 | 646, 3132 |
| 323, 1566 |
∴ So the LCM of the given numbers is 2 x 323 x 1566 = 1011636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1011636
Therefore, the GCF of Fractions 7082/646,1454/3132 is 2/1011636
Least Common Multiple of 646,3132 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 646,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,3132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,3132) x common factors =2 x 1 = 2
LCM(646,3132) = ( 646 × 3132 ) / 2
LCM(646,3132) = 2023272 / 2
LCM(646,3132) = 1011636
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FAQs on GCF of Fractions of 7082/646, 1454/3132
1. What is the HCF of 7082,1454?
The HCF of 7082,1454 is 2
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 7082/646, 1454/3132?
Answer: GCF of Numerators as per given numbers 7082/646, 1454/3132 is
GCF of Numerators i.e. for 7082,1454 is 2
LCM of denominators i.e. for 646,3132 is 1011636.
Thus, GCF of Fractions is 2/1011636.Finally, GCF of Fractions for 7082/646, 1454/3132 is 2/1011636.