GCF of 3067/933, 4288/1680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3067/933, 4288/1680 i.e 1/522480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3067/933, 4288/1680.
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 3067/933,4288/1680?
Given fractions are 3067/933,4288/1680
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 3067/933,4288/1680, numerators are 3067,4288
Denominators are 933,1680
The GCF of 3067,4288 is 1 .
LCM of 933,1680 is 522480.
The greatest common factor of 3067/933,4288/1680 = [GCF of 3067,4288]/[LCM of 933,1680]= 1/522480
Therefore, the GCF of 3067/933,4288/1680 is 1/522480.
To find the highest common factor of 3067,4288, we have to find the factors of both numbers and list the highest common factor.
The factors of 3067 are 1, 3067
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The HCF of 3067,4288 is 1.
Lets's calculate GCF of 3067,4288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3067,4288 By Matching Biggest Common Factor Method
Now, list down the factors of 3067
:1,3067
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Greatest Common Factor
We found the factors 3067,4288 . The biggest common factor number is the GCF number.
So the greatest common factor 3067,4288 is 1.
Lets's calculate LCM of 933,1680
| 3 | 933, 1680 |
| 311, 560 |
∴ So the LCM of the given numbers is 3 x 311 x 560 = 522480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522480
Therefore, the GCF of Fractions 3067/933,4288/1680 is 1/522480
Least Common Multiple of 933,1680 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 933,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,1680) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,1680) x common factors =3 x 1 = 3
LCM(933,1680) = ( 933 × 1680 ) / 3
LCM(933,1680) = 1567440 / 3
LCM(933,1680) = 522480
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FAQs on GCF of Fractions of 3067/933, 4288/1680
1. What is the HCF of 3067,4288?
The HCF of 3067,4288 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 3067/933, 4288/1680?
Answer: GCF of Numerators as per given numbers 3067/933, 4288/1680 is
GCF of Numerators i.e. for 3067,4288 is 1
LCM of denominators i.e. for 933,1680 is 522480.
Thus, GCF of Fractions is 1/522480.Finally, GCF of Fractions for 3067/933, 4288/1680 is 1/522480.