GCF of 5950/596, 7923/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5950/596, 7923/914 i.e 1/272372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5950/596, 7923/914.
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 5950/596,7923/914?
Given fractions are 5950/596,7923/914
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 5950/596,7923/914, numerators are 5950,7923
Denominators are 596,914
The GCF of 5950,7923 is 1 .
LCM of 596,914 is 272372.
The greatest common factor of 5950/596,7923/914 = [GCF of 5950,7923]/[LCM of 596,914]= 1/272372
Therefore, the GCF of 5950/596,7923/914 is 1/272372.
To find the highest common factor of 5950,7923, we have to find the factors of both numbers and list the highest common factor.
The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The HCF of 5950,7923 is 1.
Lets's calculate GCF of 5950,7923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5950,7923 By Matching Biggest Common Factor Method
Now, list down the factors of 5950
:1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Greatest Common Factor
We found the factors 5950,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,7923 is 1.
Lets's calculate LCM of 596,914
| 2 | 596, 914 |
| 298, 457 |
∴ So the LCM of the given numbers is 2 x 298 x 457 = 272372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272372
Therefore, the GCF of Fractions 5950/596,7923/914 is 1/272372
Least Common Multiple of 596,914 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 596,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,914) x common factors =2 x 1 = 2
LCM(596,914) = ( 596 × 914 ) / 2
LCM(596,914) = 544744 / 2
LCM(596,914) = 272372
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FAQs on GCF of Fractions of 5950/596, 7923/914
1. What is the HCF of 5950,7923?
The HCF of 5950,7923 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 5950/596, 7923/914?
Answer: GCF of Numerators as per given numbers 5950/596, 7923/914 is
GCF of Numerators i.e. for 5950,7923 is 1
LCM of denominators i.e. for 596,914 is 272372.
Thus, GCF of Fractions is 1/272372.Finally, GCF of Fractions for 5950/596, 7923/914 is 1/272372.