GCF of 2023/798, 1918/6775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2023/798, 1918/6775 i.e 7/5406450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2023/798, 1918/6775.
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 2023/798,1918/6775?
Given fractions are 2023/798,1918/6775
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 2023/798,1918/6775, numerators are 2023,1918
Denominators are 798,6775
The GCF of 2023,1918 is 7 .
LCM of 798,6775 is 5406450.
The greatest common factor of 2023/798,1918/6775 = [GCF of 2023,1918]/[LCM of 798,6775]= 7/5406450
Therefore, the GCF of 2023/798,1918/6775 is 7/5406450.
To find the highest common factor of 2023,1918, we have to find the factors of both numbers and list the highest common factor.
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The factors of 1918 are 1, 2, 7, 14, 137, 274, 959, 1918
The HCF of 2023,1918 is 7.
Lets's calculate GCF of 2023,1918
| 7 | 2023, 1918 |
| 289, 274 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2023,1918 By Matching Biggest Common Factor Method
Now, list down the factors of 2023
:1,7,17,119,289,2023
Now, list down the factors of 1918
:1,2,7,14,137,274,959,1918
Greatest Common Factor
We found the factors 2023,1918 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,1918 is 7.
Lets's calculate LCM of 798,6775
Given numbers has no common factors except 1. So, there LCM is their product i.e 5406450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5406450
Therefore, the GCF of Fractions 2023/798,1918/6775 is 7/5406450
Least Common Multiple of 798,6775 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 798,6775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,6775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,6775) x common factors =1 x 1 = 1
LCM(798,6775) = ( 798 × 6775 ) / 1
LCM(798,6775) = 5406450 / 1
LCM(798,6775) = 5406450
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FAQs on GCF of Fractions of 2023/798, 1918/6775
1. What is the HCF of 2023,1918?
The HCF of 2023,1918 is 7
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 2023/798, 1918/6775?
Answer: GCF of Numerators as per given numbers 2023/798, 1918/6775 is
GCF of Numerators i.e. for 2023,1918 is 7
LCM of denominators i.e. for 798,6775 is 5406450.
Thus, GCF of Fractions is 7/5406450.Finally, GCF of Fractions for 2023/798, 1918/6775 is 7/5406450.