GCF of 2026/622, 3123/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2026/622, 3123/912 i.e 1/283632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2026/622, 3123/912.
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 2026/622,3123/912?
Given fractions are 2026/622,3123/912
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 2026/622,3123/912, numerators are 2026,3123
Denominators are 622,912
The GCF of 2026,3123 is 1 .
LCM of 622,912 is 283632.
The greatest common factor of 2026/622,3123/912 = [GCF of 2026,3123]/[LCM of 622,912]= 1/283632
Therefore, the GCF of 2026/622,3123/912 is 1/283632.
To find the highest common factor of 2026,3123, we have to find the factors of both numbers and list the highest common factor.
The factors of 2026 are 1, 2, 1013, 2026
The factors of 3123 are 1, 3, 9, 347, 1041, 3123
The HCF of 2026,3123 is 1.
Lets's calculate GCF of 2026,3123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2026,3123 By Matching Biggest Common Factor Method
Now, list down the factors of 2026
:1,2,1013,2026
Now, list down the factors of 3123
:1,3,9,347,1041,3123
Greatest Common Factor
We found the factors 2026,3123 . The biggest common factor number is the GCF number.
So the greatest common factor 2026,3123 is 1.
Lets's calculate LCM of 622,912
| 2 | 622, 912 |
| 311, 456 |
∴ So the LCM of the given numbers is 2 x 311 x 456 = 283632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283632
Therefore, the GCF of Fractions 2026/622,3123/912 is 1/283632
Least Common Multiple of 622,912 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 622,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,912) x common factors =2 x 1 = 2
LCM(622,912) = ( 622 × 912 ) / 2
LCM(622,912) = 567264 / 2
LCM(622,912) = 283632
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FAQs on GCF of Fractions of 2026/622, 3123/912
1. What is the HCF of 2026,3123?
The HCF of 2026,3123 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 2026/622, 3123/912?
Answer: GCF of Numerators as per given numbers 2026/622, 3123/912 is
GCF of Numerators i.e. for 2026,3123 is 1
LCM of denominators i.e. for 622,912 is 283632.
Thus, GCF of Fractions is 1/283632.Finally, GCF of Fractions for 2026/622, 3123/912 is 1/283632.