GCF of 4426/648, 1777/6822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4426/648, 1777/6822 i.e 1/245592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4426/648, 1777/6822.
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 4426/648,1777/6822?
Given fractions are 4426/648,1777/6822
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 4426/648,1777/6822, numerators are 4426,1777
Denominators are 648,6822
The GCF of 4426,1777 is 1 .
LCM of 648,6822 is 245592.
The greatest common factor of 4426/648,1777/6822 = [GCF of 4426,1777]/[LCM of 648,6822]= 1/245592
Therefore, the GCF of 4426/648,1777/6822 is 1/245592.
To find the highest common factor of 4426,1777, we have to find the factors of both numbers and list the highest common factor.
The factors of 4426 are 1, 2, 2213, 4426
The factors of 1777 are 1, 1777
The HCF of 4426,1777 is 1.
Lets's calculate GCF of 4426,1777
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4426,1777 By Matching Biggest Common Factor Method
Now, list down the factors of 4426
:1,2,2213,4426
Now, list down the factors of 1777
:1,1777
Greatest Common Factor
We found the factors 4426,1777 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,1777 is 1.
Lets's calculate LCM of 648,6822
| 2 | 648, 6822 |
| 3 | 324, 3411 |
| 3 | 108, 1137 |
| 36, 379 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 36 x 379 = 245592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245592
Therefore, the GCF of Fractions 4426/648,1777/6822 is 1/245592
Least Common Multiple of 648,6822 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 648,6822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6822) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6822) x common factors =18 x 1 = 18
LCM(648,6822) = ( 648 × 6822 ) / 18
LCM(648,6822) = 4420656 / 18
LCM(648,6822) = 245592
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FAQs on GCF of Fractions of 4426/648, 1777/6822
1. What is the HCF of 4426,1777?
The HCF of 4426,1777 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 4426/648, 1777/6822?
Answer: GCF of Numerators as per given numbers 4426/648, 1777/6822 is
GCF of Numerators i.e. for 4426,1777 is 1
LCM of denominators i.e. for 648,6822 is 245592.
Thus, GCF of Fractions is 1/245592.Finally, GCF of Fractions for 4426/648, 1777/6822 is 1/245592.