GCF of 766/472, 5874/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/472, 5874/204 i.e 2/24072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/472, 5874/204.
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 766/472,5874/204?
Given fractions are 766/472,5874/204
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 766/472,5874/204, numerators are 766,5874
Denominators are 472,204
The GCF of 766,5874 is 2 .
LCM of 472,204 is 24072.
The greatest common factor of 766/472,5874/204 = [GCF of 766,5874]/[LCM of 472,204]= 2/24072
Therefore, the GCF of 766/472,5874/204 is 2/24072.
To find the highest common factor of 766,5874, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874
The HCF of 766,5874 is 2.
Lets's calculate GCF of 766,5874
| 2 | 766, 5874 |
| 383, 2937 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 766,5874 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 5874
:1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874
Greatest Common Factor
We found the factors 766,5874 . The biggest common factor number is the GCF number.
So the greatest common factor 766,5874 is 2.
Lets's calculate LCM of 472,204
| 2 | 472, 204 |
| 2 | 236, 102 |
| 118, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 51 = 24072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24072
Therefore, the GCF of Fractions 766/472,5874/204 is 2/24072
Least Common Multiple of 472,204 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 472,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,204) x common factors =4 x 1 = 4
LCM(472,204) = ( 472 × 204 ) / 4
LCM(472,204) = 96288 / 4
LCM(472,204) = 24072
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FAQs on GCF of Fractions of 766/472, 5874/204
1. What is the HCF of 766,5874?
The HCF of 766,5874 is 2
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 766/472, 5874/204?
Answer: GCF of Numerators as per given numbers 766/472, 5874/204 is
GCF of Numerators i.e. for 766,5874 is 2
LCM of denominators i.e. for 472,204 is 24072.
Thus, GCF of Fractions is 2/24072.Finally, GCF of Fractions for 766/472, 5874/204 is 2/24072.