GCF of 3343/630, 2924/1914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3343/630, 2924/1914 i.e 1/200970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3343/630, 2924/1914.
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 3343/630,2924/1914?
Given fractions are 3343/630,2924/1914
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 3343/630,2924/1914, numerators are 3343,2924
Denominators are 630,1914
The GCF of 3343,2924 is 1 .
LCM of 630,1914 is 200970.
The greatest common factor of 3343/630,2924/1914 = [GCF of 3343,2924]/[LCM of 630,1914]= 1/200970
Therefore, the GCF of 3343/630,2924/1914 is 1/200970.
To find the highest common factor of 3343,2924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3343 are 1, 3343
The factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924
The HCF of 3343,2924 is 1.
Lets's calculate GCF of 3343,2924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3343,2924 By Matching Biggest Common Factor Method
Now, list down the factors of 3343
:1,3343
Now, list down the factors of 2924
:1,2,4,17,34,43,68,86,172,731,1462,2924
Greatest Common Factor
We found the factors 3343,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 3343,2924 is 1.
Lets's calculate LCM of 630,1914
| 2 | 630, 1914 |
| 3 | 315, 957 |
| 105, 319 |
∴ So the LCM of the given numbers is 2 x 3 x 105 x 319 = 200970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200970
Therefore, the GCF of Fractions 3343/630,2924/1914 is 1/200970
Least Common Multiple of 630,1914 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 630,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,1914) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(630,1914) x common factors =6 x 1 = 6
LCM(630,1914) = ( 630 × 1914 ) / 6
LCM(630,1914) = 1205820 / 6
LCM(630,1914) = 200970
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FAQs on GCF of Fractions of 3343/630, 2924/1914
1. What is the HCF of 3343,2924?
The HCF of 3343,2924 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 3343/630, 2924/1914?
Answer: GCF of Numerators as per given numbers 3343/630, 2924/1914 is
GCF of Numerators i.e. for 3343,2924 is 1
LCM of denominators i.e. for 630,1914 is 200970.
Thus, GCF of Fractions is 1/200970.Finally, GCF of Fractions for 3343/630, 2924/1914 is 1/200970.