GCF of 5950/505, 7238/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5950/505, 7238/224 i.e 14/113120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5950/505, 7238/224.
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 5950/505,7238/224?
Given fractions are 5950/505,7238/224
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 5950/505,7238/224, numerators are 5950,7238
Denominators are 505,224
The GCF of 5950,7238 is 14 .
LCM of 505,224 is 113120.
The greatest common factor of 5950/505,7238/224 = [GCF of 5950,7238]/[LCM of 505,224]= 14/113120
Therefore, the GCF of 5950/505,7238/224 is 14/113120.
To find the highest common factor of 5950,7238, 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 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238
The HCF of 5950,7238 is 14.
Lets's calculate GCF of 5950,7238
| 2 | 5950, 7238 |
| 7 | 2975, 3619 |
| 425, 517 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5950,7238 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 7238
:1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238
Greatest Common Factor
We found the factors 5950,7238 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,7238 is 14.
Lets's calculate LCM of 505,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 113120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/113120
Therefore, the GCF of Fractions 5950/505,7238/224 is 14/113120
Least Common Multiple of 505,224 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 505,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,224) x common factors =1 x 1 = 1
LCM(505,224) = ( 505 × 224 ) / 1
LCM(505,224) = 113120 / 1
LCM(505,224) = 113120
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FAQs on GCF of Fractions of 5950/505, 7238/224
1. What is the HCF of 5950,7238?
The HCF of 5950,7238 is 14
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 5950/505, 7238/224?
Answer: GCF of Numerators as per given numbers 5950/505, 7238/224 is
GCF of Numerators i.e. for 5950,7238 is 14
LCM of denominators i.e. for 505,224 is 113120.
Thus, GCF of Fractions is 14/113120.Finally, GCF of Fractions for 5950/505, 7238/224 is 14/113120.