GCF of 908/632, 518/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 908/632, 518/588 i.e 2/92904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/632, 518/588.
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 908/632,518/588?
Given fractions are 908/632,518/588
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 908/632,518/588, numerators are 908,518
Denominators are 632,588
The GCF of 908,518 is 2 .
LCM of 632,588 is 92904.
The greatest common factor of 908/632,518/588 = [GCF of 908,518]/[LCM of 632,588]= 2/92904
Therefore, the GCF of 908/632,518/588 is 2/92904.
To find the highest common factor of 908,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 908 are 1, 2, 4, 227, 454, 908
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 908,518 is 2.
Lets's calculate GCF of 908,518
| 2 | 908, 518 |
| 454, 259 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 908,518 By Matching Biggest Common Factor Method
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 908,518 . The biggest common factor number is the GCF number.
So the greatest common factor 908,518 is 2.
Lets's calculate LCM of 632,588
| 2 | 632, 588 |
| 2 | 316, 294 |
| 158, 147 |
∴ So the LCM of the given numbers is 2 x 2 x 158 x 147 = 92904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92904
Therefore, the GCF of Fractions 908/632,518/588 is 2/92904
Least Common Multiple of 632,588 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 632,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(632,588) x common factors =4 x 1 = 4
LCM(632,588) = ( 632 × 588 ) / 4
LCM(632,588) = 371616 / 4
LCM(632,588) = 92904
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FAQs on GCF of Fractions of 908/632, 518/588
1. What is the HCF of 908,518?
The HCF of 908,518 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 908/632, 518/588?
Answer: GCF of Numerators as per given numbers 908/632, 518/588 is
GCF of Numerators i.e. for 908,518 is 2
LCM of denominators i.e. for 632,588 is 92904.
Thus, GCF of Fractions is 2/92904.Finally, GCF of Fractions for 908/632, 518/588 is 2/92904.