GCF of 7826/450, 9288/5084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7826/450, 9288/5084 i.e 86/1143900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7826/450, 9288/5084.
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 7826/450,9288/5084?
Given fractions are 7826/450,9288/5084
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 7826/450,9288/5084, numerators are 7826,9288
Denominators are 450,5084
The GCF of 7826,9288 is 86 .
LCM of 450,5084 is 1143900.
The greatest common factor of 7826/450,9288/5084 = [GCF of 7826,9288]/[LCM of 450,5084]= 86/1143900
Therefore, the GCF of 7826/450,9288/5084 is 86/1143900.
To find the highest common factor of 7826,9288, we have to find the factors of both numbers and list the highest common factor.
The factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826
The factors of 9288 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644, 9288
The HCF of 7826,9288 is 86.
Lets's calculate GCF of 7826,9288
| 2 | 7826, 9288 |
| 43 | 3913, 4644 |
| 91, 108 |
∴ So the GCF of the given numbers is 2 x 43 = 86
Greatest Common Factor of 7826,9288 By Matching Biggest Common Factor Method
Now, list down the factors of 7826
:1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826
Now, list down the factors of 9288
:1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288
Greatest Common Factor
We found the factors 7826,9288 . The biggest common factor number is the GCF number.
So the greatest common factor 7826,9288 is 86.
Lets's calculate LCM of 450,5084
| 2 | 450, 5084 |
| 225, 2542 |
∴ So the LCM of the given numbers is 2 x 225 x 2542 = 1143900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 86/1143900
Therefore, the GCF of Fractions 7826/450,9288/5084 is 86/1143900
Least Common Multiple of 450,5084 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 450,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5084) x common factors =2 x 1 = 2
LCM(450,5084) = ( 450 × 5084 ) / 2
LCM(450,5084) = 2287800 / 2
LCM(450,5084) = 1143900
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FAQs on GCF of Fractions of 7826/450, 9288/5084
1. What is the HCF of 7826,9288?
The HCF of 7826,9288 is 86
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 7826/450, 9288/5084?
Answer: GCF of Numerators as per given numbers 7826/450, 9288/5084 is
GCF of Numerators i.e. for 7826,9288 is 86
LCM of denominators i.e. for 450,5084 is 1143900.
Thus, GCF of Fractions is 86/1143900.Finally, GCF of Fractions for 7826/450, 9288/5084 is 86/1143900.