GCF of 2434/422, 6765/6832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2434/422, 6765/6832 i.e 1/1441552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2434/422, 6765/6832.
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 2434/422,6765/6832?
Given fractions are 2434/422,6765/6832
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 2434/422,6765/6832, numerators are 2434,6765
Denominators are 422,6832
The GCF of 2434,6765 is 1 .
LCM of 422,6832 is 1441552.
The greatest common factor of 2434/422,6765/6832 = [GCF of 2434,6765]/[LCM of 422,6832]= 1/1441552
Therefore, the GCF of 2434/422,6765/6832 is 1/1441552.
To find the highest common factor of 2434,6765, we have to find the factors of both numbers and list the highest common factor.
The factors of 2434 are 1, 2, 1217, 2434
The factors of 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765
The HCF of 2434,6765 is 1.
Lets's calculate GCF of 2434,6765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2434,6765 By Matching Biggest Common Factor Method
Now, list down the factors of 2434
:1,2,1217,2434
Now, list down the factors of 6765
:1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765
Greatest Common Factor
We found the factors 2434,6765 . The biggest common factor number is the GCF number.
So the greatest common factor 2434,6765 is 1.
Lets's calculate LCM of 422,6832
| 2 | 422, 6832 |
| 211, 3416 |
∴ So the LCM of the given numbers is 2 x 211 x 3416 = 1441552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1441552
Therefore, the GCF of Fractions 2434/422,6765/6832 is 1/1441552
Least Common Multiple of 422,6832 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 422,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,6832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,6832) x common factors =2 x 1 = 2
LCM(422,6832) = ( 422 × 6832 ) / 2
LCM(422,6832) = 2883104 / 2
LCM(422,6832) = 1441552
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FAQs on GCF of Fractions of 2434/422, 6765/6832
1. What is the HCF of 2434,6765?
The HCF of 2434,6765 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 2434/422, 6765/6832?
Answer: GCF of Numerators as per given numbers 2434/422, 6765/6832 is
GCF of Numerators i.e. for 2434,6765 is 1
LCM of denominators i.e. for 422,6832 is 1441552.
Thus, GCF of Fractions is 1/1441552.Finally, GCF of Fractions for 2434/422, 6765/6832 is 1/1441552.