GCF of 488/56, 866/8314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/56, 866/8314 i.e 2/232792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/56, 866/8314.
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 488/56,866/8314?
Given fractions are 488/56,866/8314
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 488/56,866/8314, numerators are 488,866
Denominators are 56,8314
The GCF of 488,866 is 2 .
LCM of 56,8314 is 232792.
The greatest common factor of 488/56,866/8314 = [GCF of 488,866]/[LCM of 56,8314]= 2/232792
Therefore, the GCF of 488/56,866/8314 is 2/232792.
To find the highest common factor of 488,866, 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 866 are 1, 2, 433, 866
The HCF of 488,866 is 2.
Lets's calculate GCF of 488,866
| 2 | 488, 866 |
| 244, 433 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 488,866 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 866
:1,2,433,866
Greatest Common Factor
We found the factors 488,866 . The biggest common factor number is the GCF number.
So the greatest common factor 488,866 is 2.
Lets's calculate LCM of 56,8314
| 2 | 56, 8314 |
| 28, 4157 |
∴ So the LCM of the given numbers is 2 x 28 x 4157 = 232792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232792
Therefore, the GCF of Fractions 488/56,866/8314 is 2/232792
Least Common Multiple of 56,8314 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 56,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,8314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(56,8314) x common factors =2 x 1 = 2
LCM(56,8314) = ( 56 × 8314 ) / 2
LCM(56,8314) = 465584 / 2
LCM(56,8314) = 232792
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FAQs on GCF of Fractions of 488/56, 866/8314
1. What is the HCF of 488,866?
The HCF of 488,866 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 488/56, 866/8314?
Answer: GCF of Numerators as per given numbers 488/56, 866/8314 is
GCF of Numerators i.e. for 488,866 is 2
LCM of denominators i.e. for 56,8314 is 232792.
Thus, GCF of Fractions is 2/232792.Finally, GCF of Fractions for 488/56, 866/8314 is 2/232792.