GCF of 2346/230, 5007/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2346/230, 5007/992 i.e 3/114080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2346/230, 5007/992.
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 2346/230,5007/992?
Given fractions are 2346/230,5007/992
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 2346/230,5007/992, numerators are 2346,5007
Denominators are 230,992
The GCF of 2346,5007 is 3 .
LCM of 230,992 is 114080.
The greatest common factor of 2346/230,5007/992 = [GCF of 2346,5007]/[LCM of 230,992]= 3/114080
Therefore, the GCF of 2346/230,5007/992 is 3/114080.
To find the highest common factor of 2346,5007, we have to find the factors of both numbers and list the highest common factor.
The factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346
The factors of 5007 are 1, 3, 1669, 5007
The HCF of 2346,5007 is 3.
Lets's calculate GCF of 2346,5007
| 3 | 2346, 5007 |
| 782, 1669 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2346,5007 By Matching Biggest Common Factor Method
Now, list down the factors of 2346
:1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346
Now, list down the factors of 5007
:1,3,1669,5007
Greatest Common Factor
We found the factors 2346,5007 . The biggest common factor number is the GCF number.
So the greatest common factor 2346,5007 is 3.
Lets's calculate LCM of 230,992
| 2 | 230, 992 |
| 115, 496 |
∴ So the LCM of the given numbers is 2 x 115 x 496 = 114080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114080
Therefore, the GCF of Fractions 2346/230,5007/992 is 3/114080
Least Common Multiple of 230,992 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 230,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,992) x common factors =2 x 1 = 2
LCM(230,992) = ( 230 × 992 ) / 2
LCM(230,992) = 228160 / 2
LCM(230,992) = 114080
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FAQs on GCF of Fractions of 2346/230, 5007/992
1. What is the HCF of 2346,5007?
The HCF of 2346,5007 is 3
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 2346/230, 5007/992?
Answer: GCF of Numerators as per given numbers 2346/230, 5007/992 is
GCF of Numerators i.e. for 2346,5007 is 3
LCM of denominators i.e. for 230,992 is 114080.
Thus, GCF of Fractions is 3/114080.Finally, GCF of Fractions for 2346/230, 5007/992 is 3/114080.