GCF of 5350/552, 1238/8025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5350/552, 1238/8025 i.e 2/1476600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5350/552, 1238/8025.
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 5350/552,1238/8025?
Given fractions are 5350/552,1238/8025
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 5350/552,1238/8025, numerators are 5350,1238
Denominators are 552,8025
The GCF of 5350,1238 is 2 .
LCM of 552,8025 is 1476600.
The greatest common factor of 5350/552,1238/8025 = [GCF of 5350,1238]/[LCM of 552,8025]= 2/1476600
Therefore, the GCF of 5350/552,1238/8025 is 2/1476600.
To find the highest common factor of 5350,1238, we have to find the factors of both numbers and list the highest common factor.
The factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350
The factors of 1238 are 1, 2, 619, 1238
The HCF of 5350,1238 is 2.
Lets's calculate GCF of 5350,1238
| 2 | 5350, 1238 |
| 2675, 619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5350,1238 By Matching Biggest Common Factor Method
Now, list down the factors of 5350
:1,2,5,10,25,50,107,214,535,1070,2675,5350
Now, list down the factors of 1238
:1,2,619,1238
Greatest Common Factor
We found the factors 5350,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 5350,1238 is 2.
Lets's calculate LCM of 552,8025
| 3 | 552, 8025 |
| 184, 2675 |
∴ So the LCM of the given numbers is 3 x 184 x 2675 = 1476600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1476600
Therefore, the GCF of Fractions 5350/552,1238/8025 is 2/1476600
Least Common Multiple of 552,8025 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 552,8025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,8025) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(552,8025) x common factors =3 x 1 = 3
LCM(552,8025) = ( 552 × 8025 ) / 3
LCM(552,8025) = 4429800 / 3
LCM(552,8025) = 1476600
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FAQs on GCF of Fractions of 5350/552, 1238/8025
1. What is the HCF of 5350,1238?
The HCF of 5350,1238 is 2
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 5350/552, 1238/8025?
Answer: GCF of Numerators as per given numbers 5350/552, 1238/8025 is
GCF of Numerators i.e. for 5350,1238 is 2
LCM of denominators i.e. for 552,8025 is 1476600.
Thus, GCF of Fractions is 2/1476600.Finally, GCF of Fractions for 5350/552, 1238/8025 is 2/1476600.