GCF of 488/93, 320/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/93, 320/995 i.e 8/92535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/93, 320/995.
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 488/93,320/995?
Given fractions are 488/93,320/995
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 488/93,320/995, numerators are 488,320
Denominators are 93,995
The GCF of 488,320 is 8 .
LCM of 93,995 is 92535.
The greatest common factor of 488/93,320/995 = [GCF of 488,320]/[LCM of 93,995]= 8/92535
Therefore, the GCF of 488/93,320/995 is 8/92535.
To find the highest common factor of 488,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 488,320 is 8.
Lets's calculate GCF of 488,320
| 2 | 488, 320 |
| 2 | 244, 160 |
| 2 | 122, 80 |
| 61, 40 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 488,320 By Matching Biggest Common Factor Method
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 488,320 . The biggest common factor number is the GCF number.
So the greatest common factor 488,320 is 8.
Lets's calculate LCM of 93,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 92535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/92535
Therefore, the GCF of Fractions 488/93,320/995 is 8/92535
Least Common Multiple of 93,995 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 93,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,995) x common factors =1 x 1 = 1
LCM(93,995) = ( 93 × 995 ) / 1
LCM(93,995) = 92535 / 1
LCM(93,995) = 92535
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FAQs on GCF of Fractions of 488/93, 320/995
1. What is the HCF of 488,320?
The HCF of 488,320 is 8
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 488/93, 320/995?
Answer: GCF of Numerators as per given numbers 488/93, 320/995 is
GCF of Numerators i.e. for 488,320 is 8
LCM of denominators i.e. for 93,995 is 92535.
Thus, GCF of Fractions is 8/92535.Finally, GCF of Fractions for 488/93, 320/995 is 8/92535.