GCF of 2349/907, 6783/4186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2349/907, 6783/4186 i.e 3/3796702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2349/907, 6783/4186.
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 2349/907,6783/4186?
Given fractions are 2349/907,6783/4186
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 2349/907,6783/4186, numerators are 2349,6783
Denominators are 907,4186
The GCF of 2349,6783 is 3 .
LCM of 907,4186 is 3796702.
The greatest common factor of 2349/907,6783/4186 = [GCF of 2349,6783]/[LCM of 907,4186]= 3/3796702
Therefore, the GCF of 2349/907,6783/4186 is 3/3796702.
To find the highest common factor of 2349,6783, we have to find the factors of both numbers and list the highest common factor.
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
The HCF of 2349,6783 is 3.
Lets's calculate GCF of 2349,6783
| 3 | 2349, 6783 |
| 783, 2261 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2349,6783 By Matching Biggest Common Factor Method
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Now, list down the factors of 6783
:1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
Greatest Common Factor
We found the factors 2349,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 2349,6783 is 3.
Lets's calculate LCM of 907,4186
Given numbers has no common factors except 1. So, there LCM is their product i.e 3796702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3796702
Therefore, the GCF of Fractions 2349/907,6783/4186 is 3/3796702
Least Common Multiple of 907,4186 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 907,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,4186) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,4186) x common factors =1 x 1 = 1
LCM(907,4186) = ( 907 × 4186 ) / 1
LCM(907,4186) = 3796702 / 1
LCM(907,4186) = 3796702
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FAQs on GCF of Fractions of 2349/907, 6783/4186
1. What is the HCF of 2349,6783?
The HCF of 2349,6783 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 2349/907, 6783/4186?
Answer: GCF of Numerators as per given numbers 2349/907, 6783/4186 is
GCF of Numerators i.e. for 2349,6783 is 3
LCM of denominators i.e. for 907,4186 is 3796702.
Thus, GCF of Fractions is 3/3796702.Finally, GCF of Fractions for 2349/907, 6783/4186 is 3/3796702.