GCF of 1646/777, 2966/5132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1646/777, 2966/5132 i.e 2/3987564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1646/777, 2966/5132.
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 1646/777,2966/5132?
Given fractions are 1646/777,2966/5132
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 1646/777,2966/5132, numerators are 1646,2966
Denominators are 777,5132
The GCF of 1646,2966 is 2 .
LCM of 777,5132 is 3987564.
The greatest common factor of 1646/777,2966/5132 = [GCF of 1646,2966]/[LCM of 777,5132]= 2/3987564
Therefore, the GCF of 1646/777,2966/5132 is 2/3987564.
To find the highest common factor of 1646,2966, we have to find the factors of both numbers and list the highest common factor.
The factors of 1646 are 1, 2, 823, 1646
The factors of 2966 are 1, 2, 1483, 2966
The HCF of 1646,2966 is 2.
Lets's calculate GCF of 1646,2966
| 2 | 1646, 2966 |
| 823, 1483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1646,2966 By Matching Biggest Common Factor Method
Now, list down the factors of 1646
:1,2,823,1646
Now, list down the factors of 2966
:1,2,1483,2966
Greatest Common Factor
We found the factors 1646,2966 . The biggest common factor number is the GCF number.
So the greatest common factor 1646,2966 is 2.
Lets's calculate LCM of 777,5132
Given numbers has no common factors except 1. So, there LCM is their product i.e 3987564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3987564
Therefore, the GCF of Fractions 1646/777,2966/5132 is 2/3987564
Least Common Multiple of 777,5132 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 777,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,5132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,5132) x common factors =1 x 1 = 1
LCM(777,5132) = ( 777 × 5132 ) / 1
LCM(777,5132) = 3987564 / 1
LCM(777,5132) = 3987564
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FAQs on GCF of Fractions of 1646/777, 2966/5132
1. What is the HCF of 1646,2966?
The HCF of 1646,2966 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 1646/777, 2966/5132?
Answer: GCF of Numerators as per given numbers 1646/777, 2966/5132 is
GCF of Numerators i.e. for 1646,2966 is 2
LCM of denominators i.e. for 777,5132 is 3987564.
Thus, GCF of Fractions is 2/3987564.Finally, GCF of Fractions for 1646/777, 2966/5132 is 2/3987564.