GCF of 376/20, 804/67, 208/55
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 376/20, 804/67, 208/55 i.e 4/14740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 376/20, 804/67, 208/55.
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 376/20,804/67,208/55?
Given fractions are 376/20,804/67,208/55
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 376/20,804/67,208/55, numerators are 376,804,208
Denominators are 20,67,55
The GCF of 376,804,208 is 4 .
LCM of 20,67,55 is 14740.
The greatest common factor of 376/20,804/67,208/55 = [GCF of 376,804,208]/[LCM of 20,67,55]= 4/14740
Therefore, the GCF of 376/20,804/67,208/55 is 4/14740.
To find the highest common factor of 376,804,208, we have to find the factors of both numbers and list the highest common factor.
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The HCF of 376,804,208 is 4.
Lets's calculate GCF of 376,804,208
| 2 | 376, 804, 208 |
| 2 | 188, 402, 104 |
| 94, 201, 52 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 376,804,208 By Matching Biggest Common Factor Method
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 376,804,208 . The biggest common factor number is the GCF number.
So the greatest common factor 376,804,208 is 4.
Lets's calculate LCM of 20,67,55
| 5 | 20, 67, 55 |
| 4, 67, 11 |
∴ So the LCM of the given numbers is 5 x 4 x 67 x 11 = 14740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14740
Therefore, the GCF of Fractions 376/20,804/67,208/55 is 4/14740
Least Common Multiple of 20,67,55 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 20,67,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,67,55) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(20,67,55) x common factors =1 x 5 = 5
LCM(20,67,55) = ( 20 × 67 × 55 ) / 5
LCM(20,67,55) = 73700 / 5
LCM(20,67,55) = 14740
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FAQs on GCF of Fractions of 376/20, 804/67, 208/55
1. What is the HCF of 376,804,208?
The HCF of 376,804,208 is 4
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 376/20, 804/67, 208/55?
Answer: GCF of Numerators as per given numbers 376/20, 804/67, 208/55 is
GCF of Numerators i.e. for 376,804,208 is 4
LCM of denominators i.e. for 20,67,55 is 14740.
Thus, GCF of Fractions is 4/14740.Finally, GCF of Fractions for 376/20, 804/67, 208/55 is 4/14740.