GCF of 1966/170, 2649/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1966/170, 2649/542 i.e 1/46070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1966/170, 2649/542.
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 1966/170,2649/542?
Given fractions are 1966/170,2649/542
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 1966/170,2649/542, numerators are 1966,2649
Denominators are 170,542
The GCF of 1966,2649 is 1 .
LCM of 170,542 is 46070.
The greatest common factor of 1966/170,2649/542 = [GCF of 1966,2649]/[LCM of 170,542]= 1/46070
Therefore, the GCF of 1966/170,2649/542 is 1/46070.
To find the highest common factor of 1966,2649, we have to find the factors of both numbers and list the highest common factor.
The factors of 1966 are 1, 2, 983, 1966
The factors of 2649 are 1, 3, 883, 2649
The HCF of 1966,2649 is 1.
Lets's calculate GCF of 1966,2649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1966,2649 By Matching Biggest Common Factor Method
Now, list down the factors of 1966
:1,2,983,1966
Now, list down the factors of 2649
:1,3,883,2649
Greatest Common Factor
We found the factors 1966,2649 . The biggest common factor number is the GCF number.
So the greatest common factor 1966,2649 is 1.
Lets's calculate LCM of 170,542
| 2 | 170, 542 |
| 85, 271 |
∴ So the LCM of the given numbers is 2 x 85 x 271 = 46070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46070
Therefore, the GCF of Fractions 1966/170,2649/542 is 1/46070
Least Common Multiple of 170,542 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 170,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,542) x common factors =2 x 1 = 2
LCM(170,542) = ( 170 × 542 ) / 2
LCM(170,542) = 92140 / 2
LCM(170,542) = 46070
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FAQs on GCF of Fractions of 1966/170, 2649/542
1. What is the HCF of 1966,2649?
The HCF of 1966,2649 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 1966/170, 2649/542?
Answer: GCF of Numerators as per given numbers 1966/170, 2649/542 is
GCF of Numerators i.e. for 1966,2649 is 1
LCM of denominators i.e. for 170,542 is 46070.
Thus, GCF of Fractions is 1/46070.Finally, GCF of Fractions for 1966/170, 2649/542 is 1/46070.