GCF of 545/843, 208/822, 621/392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 545/843, 208/822, 621/392 i.e 1/45272472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/843, 208/822, 621/392.
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 545/843,208/822,621/392?
Given fractions are 545/843,208/822,621/392
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 545/843,208/822,621/392, numerators are 545,208,621
Denominators are 843,822,392
The GCF of 545,208,621 is 1 .
LCM of 843,822,392 is 45272472.
The greatest common factor of 545/843,208/822,621/392 = [GCF of 545,208,621]/[LCM of 843,822,392]= 1/45272472
Therefore, the GCF of 545/843,208/822,621/392 is 1/45272472.
To find the highest common factor of 545,208,621, we have to find the factors of both numbers and list the highest common factor.
The factors of 545 are 1, 5, 109, 545
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The HCF of 545,208,621 is 1.
Lets's calculate GCF of 545,208,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 545,208,621 By Matching Biggest Common Factor Method
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 545,208,621 . The biggest common factor number is the GCF number.
So the greatest common factor 545,208,621 is 1.
Lets's calculate LCM of 843,822,392
| 2 | 843, 822, 392 |
| 3 | 843, 411, 196 |
| 281, 137, 196 |
∴ So the LCM of the given numbers is 2 x 3 x 281 x 137 x 196 = 45272472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45272472
Therefore, the GCF of Fractions 545/843,208/822,621/392 is 1/45272472
Least Common Multiple of 843,822,392 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 843,822,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,822,392) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(843,822,392) x common factors =1 x 6 = 6
LCM(843,822,392) = ( 843 × 822 × 392 ) / 6
LCM(843,822,392) = 271634832 / 6
LCM(843,822,392) = 45272472
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FAQs on GCF of Fractions of 545/843, 208/822, 621/392
1. What is the HCF of 545,208,621?
The HCF of 545,208,621 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 545/843, 208/822, 621/392?
Answer: GCF of Numerators as per given numbers 545/843, 208/822, 621/392 is
GCF of Numerators i.e. for 545,208,621 is 1
LCM of denominators i.e. for 843,822,392 is 45272472.
Thus, GCF of Fractions is 1/45272472.Finally, GCF of Fractions for 545/843, 208/822, 621/392 is 1/45272472.