GCF of 2044/796, 1027/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2044/796, 1027/648 i.e 1/128952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2044/796, 1027/648.
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 2044/796,1027/648?
Given fractions are 2044/796,1027/648
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 2044/796,1027/648, numerators are 2044,1027
Denominators are 796,648
The GCF of 2044,1027 is 1 .
LCM of 796,648 is 128952.
The greatest common factor of 2044/796,1027/648 = [GCF of 2044,1027]/[LCM of 796,648]= 1/128952
Therefore, the GCF of 2044/796,1027/648 is 1/128952.
To find the highest common factor of 2044,1027, we have to find the factors of both numbers and list the highest common factor.
The factors of 2044 are 1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044
The factors of 1027 are 1, 13, 79, 1027
The HCF of 2044,1027 is 1.
Lets's calculate GCF of 2044,1027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2044,1027 By Matching Biggest Common Factor Method
Now, list down the factors of 2044
:1,2,4,7,14,28,73,146,292,511,1022,2044
Now, list down the factors of 1027
:1,13,79,1027
Greatest Common Factor
We found the factors 2044,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 2044,1027 is 1.
Lets's calculate LCM of 796,648
| 2 | 796, 648 |
| 2 | 398, 324 |
| 199, 162 |
∴ So the LCM of the given numbers is 2 x 2 x 199 x 162 = 128952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128952
Therefore, the GCF of Fractions 2044/796,1027/648 is 1/128952
Least Common Multiple of 796,648 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 796,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,648) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(796,648) x common factors =4 x 1 = 4
LCM(796,648) = ( 796 × 648 ) / 4
LCM(796,648) = 515808 / 4
LCM(796,648) = 128952
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FAQs on GCF of Fractions of 2044/796, 1027/648
1. What is the HCF of 2044,1027?
The HCF of 2044,1027 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 2044/796, 1027/648?
Answer: GCF of Numerators as per given numbers 2044/796, 1027/648 is
GCF of Numerators i.e. for 2044,1027 is 1
LCM of denominators i.e. for 796,648 is 128952.
Thus, GCF of Fractions is 1/128952.Finally, GCF of Fractions for 2044/796, 1027/648 is 1/128952.