GCF of 6804/163, 5454/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6804/163, 5454/220 i.e 54/35860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6804/163, 5454/220.
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 6804/163,5454/220?
Given fractions are 6804/163,5454/220
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 6804/163,5454/220, numerators are 6804,5454
Denominators are 163,220
The GCF of 6804,5454 is 54 .
LCM of 163,220 is 35860.
The greatest common factor of 6804/163,5454/220 = [GCF of 6804,5454]/[LCM of 163,220]= 54/35860
Therefore, the GCF of 6804/163,5454/220 is 54/35860.
To find the highest common factor of 6804,5454, we have to find the factors of both numbers and list the highest common factor.
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The HCF of 6804,5454 is 54.
Lets's calculate GCF of 6804,5454
| 2 | 6804, 5454 |
| 3 | 3402, 2727 |
| 3 | 1134, 909 |
| 3 | 378, 303 |
| 126, 101 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 6804,5454 By Matching Biggest Common Factor Method
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 6804,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 6804,5454 is 54.
Lets's calculate LCM of 163,220
Given numbers has no common factors except 1. So, there LCM is their product i.e 35860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/35860
Therefore, the GCF of Fractions 6804/163,5454/220 is 54/35860
Least Common Multiple of 163,220 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 163,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,220) x common factors =1 x 1 = 1
LCM(163,220) = ( 163 × 220 ) / 1
LCM(163,220) = 35860 / 1
LCM(163,220) = 35860
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FAQs on GCF of Fractions of 6804/163, 5454/220
1. What is the HCF of 6804,5454?
The HCF of 6804,5454 is 54
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 6804/163, 5454/220?
Answer: GCF of Numerators as per given numbers 6804/163, 5454/220 is
GCF of Numerators i.e. for 6804,5454 is 54
LCM of denominators i.e. for 163,220 is 35860.
Thus, GCF of Fractions is 54/35860.Finally, GCF of Fractions for 6804/163, 5454/220 is 54/35860.