GCF of 7258/586, 7488/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7258/586, 7488/168 i.e 2/49224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7258/586, 7488/168.
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 7258/586,7488/168?
Given fractions are 7258/586,7488/168
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 7258/586,7488/168, numerators are 7258,7488
Denominators are 586,168
The GCF of 7258,7488 is 2 .
LCM of 586,168 is 49224.
The greatest common factor of 7258/586,7488/168 = [GCF of 7258,7488]/[LCM of 586,168]= 2/49224
Therefore, the GCF of 7258/586,7488/168 is 2/49224.
To find the highest common factor of 7258,7488, we have to find the factors of both numbers and list the highest common factor.
The factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258
The factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488
The HCF of 7258,7488 is 2.
Lets's calculate GCF of 7258,7488
| 2 | 7258, 7488 |
| 3629, 3744 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7258,7488 By Matching Biggest Common Factor Method
Now, list down the factors of 7258
:1,2,19,38,191,382,3629,7258
Now, list down the factors of 7488
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488
Greatest Common Factor
We found the factors 7258,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 7258,7488 is 2.
Lets's calculate LCM of 586,168
| 2 | 586, 168 |
| 293, 84 |
∴ So the LCM of the given numbers is 2 x 293 x 84 = 49224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49224
Therefore, the GCF of Fractions 7258/586,7488/168 is 2/49224
Least Common Multiple of 586,168 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 586,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,168) x common factors =2 x 1 = 2
LCM(586,168) = ( 586 × 168 ) / 2
LCM(586,168) = 98448 / 2
LCM(586,168) = 49224
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FAQs on GCF of Fractions of 7258/586, 7488/168
1. What is the HCF of 7258,7488?
The HCF of 7258,7488 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 7258/586, 7488/168?
Answer: GCF of Numerators as per given numbers 7258/586, 7488/168 is
GCF of Numerators i.e. for 7258,7488 is 2
LCM of denominators i.e. for 586,168 is 49224.
Thus, GCF of Fractions is 2/49224.Finally, GCF of Fractions for 7258/586, 7488/168 is 2/49224.