GCF of 8486/492, 2288/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8486/492, 2288/718 i.e 2/176628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8486/492, 2288/718.
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 8486/492,2288/718?
Given fractions are 8486/492,2288/718
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 8486/492,2288/718, numerators are 8486,2288
Denominators are 492,718
The GCF of 8486,2288 is 2 .
LCM of 492,718 is 176628.
The greatest common factor of 8486/492,2288/718 = [GCF of 8486,2288]/[LCM of 492,718]= 2/176628
Therefore, the GCF of 8486/492,2288/718 is 2/176628.
To find the highest common factor of 8486,2288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8486 are 1, 2, 4243, 8486
The factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288
The HCF of 8486,2288 is 2.
Lets's calculate GCF of 8486,2288
| 2 | 8486, 2288 |
| 4243, 1144 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8486,2288 By Matching Biggest Common Factor Method
Now, list down the factors of 8486
:1,2,4243,8486
Now, list down the factors of 2288
:1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288
Greatest Common Factor
We found the factors 8486,2288 . The biggest common factor number is the GCF number.
So the greatest common factor 8486,2288 is 2.
Lets's calculate LCM of 492,718
| 2 | 492, 718 |
| 246, 359 |
∴ So the LCM of the given numbers is 2 x 246 x 359 = 176628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176628
Therefore, the GCF of Fractions 8486/492,2288/718 is 2/176628
Least Common Multiple of 492,718 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 492,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(492,718) x common factors =2 x 1 = 2
LCM(492,718) = ( 492 × 718 ) / 2
LCM(492,718) = 353256 / 2
LCM(492,718) = 176628
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FAQs on GCF of Fractions of 8486/492, 2288/718
1. What is the HCF of 8486,2288?
The HCF of 8486,2288 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 8486/492, 2288/718?
Answer: GCF of Numerators as per given numbers 8486/492, 2288/718 is
GCF of Numerators i.e. for 8486,2288 is 2
LCM of denominators i.e. for 492,718 is 176628.
Thus, GCF of Fractions is 2/176628.Finally, GCF of Fractions for 8486/492, 2288/718 is 2/176628.