GCF of 423/76, 940/1907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 423/76, 940/1907 i.e 47/144932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/76, 940/1907.
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 423/76,940/1907?
Given fractions are 423/76,940/1907
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 423/76,940/1907, numerators are 423,940
Denominators are 76,1907
The GCF of 423,940 is 47 .
LCM of 76,1907 is 144932.
The greatest common factor of 423/76,940/1907 = [GCF of 423,940]/[LCM of 76,1907]= 47/144932
Therefore, the GCF of 423/76,940/1907 is 47/144932.
To find the highest common factor of 423,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 423,940 is 47.
Lets's calculate GCF of 423,940
| 47 | 423, 940 |
| 9, 20 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 423,940 By Matching Biggest Common Factor Method
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 423,940 . The biggest common factor number is the GCF number.
So the greatest common factor 423,940 is 47.
Lets's calculate LCM of 76,1907
Given numbers has no common factors except 1. So, there LCM is their product i.e 144932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/144932
Therefore, the GCF of Fractions 423/76,940/1907 is 47/144932
Least Common Multiple of 76,1907 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 76,1907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,1907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,1907) x common factors =1 x 1 = 1
LCM(76,1907) = ( 76 × 1907 ) / 1
LCM(76,1907) = 144932 / 1
LCM(76,1907) = 144932
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FAQs on GCF of Fractions of 423/76, 940/1907
1. What is the HCF of 423,940?
The HCF of 423,940 is 47
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 423/76, 940/1907?
Answer: GCF of Numerators as per given numbers 423/76, 940/1907 is
GCF of Numerators i.e. for 423,940 is 47
LCM of denominators i.e. for 76,1907 is 144932.
Thus, GCF of Fractions is 47/144932.Finally, GCF of Fractions for 423/76, 940/1907 is 47/144932.