GCF of 423/905, 7097/950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 423/905, 7097/950 i.e 47/171950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/905, 7097/950.
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 423/905,7097/950?
Given fractions are 423/905,7097/950
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 423/905,7097/950, numerators are 423,7097
Denominators are 905,950
The GCF of 423,7097 is 47 .
LCM of 905,950 is 171950.
The greatest common factor of 423/905,7097/950 = [GCF of 423,7097]/[LCM of 905,950]= 47/171950
Therefore, the GCF of 423/905,7097/950 is 47/171950.
To find the highest common factor of 423,7097, 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 7097 are 1, 47, 151, 7097
The HCF of 423,7097 is 47.
Lets's calculate GCF of 423,7097
| 47 | 423, 7097 |
| 9, 151 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 423,7097 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 7097
:1,47,151,7097
Greatest Common Factor
We found the factors 423,7097 . The biggest common factor number is the GCF number.
So the greatest common factor 423,7097 is 47.
Lets's calculate LCM of 905,950
| 5 | 905, 950 |
| 181, 190 |
∴ So the LCM of the given numbers is 5 x 181 x 190 = 171950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/171950
Therefore, the GCF of Fractions 423/905,7097/950 is 47/171950
Least Common Multiple of 905,950 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 905,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,950) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,950) x common factors =5 x 1 = 5
LCM(905,950) = ( 905 × 950 ) / 5
LCM(905,950) = 859750 / 5
LCM(905,950) = 171950
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FAQs on GCF of Fractions of 423/905, 7097/950
1. What is the HCF of 423,7097?
The HCF of 423,7097 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 423/905, 7097/950?
Answer: GCF of Numerators as per given numbers 423/905, 7097/950 is
GCF of Numerators i.e. for 423,7097 is 47
LCM of denominators i.e. for 905,950 is 171950.
Thus, GCF of Fractions is 47/171950.Finally, GCF of Fractions for 423/905, 7097/950 is 47/171950.