GCF of 1006/831, 1736/3008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1006/831, 1736/3008 i.e 2/2499648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1006/831, 1736/3008.
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 1006/831,1736/3008?
Given fractions are 1006/831,1736/3008
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 1006/831,1736/3008, numerators are 1006,1736
Denominators are 831,3008
The GCF of 1006,1736 is 2 .
LCM of 831,3008 is 2499648.
The greatest common factor of 1006/831,1736/3008 = [GCF of 1006,1736]/[LCM of 831,3008]= 2/2499648
Therefore, the GCF of 1006/831,1736/3008 is 2/2499648.
To find the highest common factor of 1006,1736, we have to find the factors of both numbers and list the highest common factor.
The factors of 1006 are 1, 2, 503, 1006
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736
The HCF of 1006,1736 is 2.
Lets's calculate GCF of 1006,1736
| 2 | 1006, 1736 |
| 503, 868 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1006,1736 By Matching Biggest Common Factor Method
Now, list down the factors of 1006
:1,2,503,1006
Now, list down the factors of 1736
:1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Greatest Common Factor
We found the factors 1006,1736 . The biggest common factor number is the GCF number.
So the greatest common factor 1006,1736 is 2.
Lets's calculate LCM of 831,3008
Given numbers has no common factors except 1. So, there LCM is their product i.e 2499648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2499648
Therefore, the GCF of Fractions 1006/831,1736/3008 is 2/2499648
Least Common Multiple of 831,3008 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 831,3008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,3008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,3008) x common factors =1 x 1 = 1
LCM(831,3008) = ( 831 × 3008 ) / 1
LCM(831,3008) = 2499648 / 1
LCM(831,3008) = 2499648
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FAQs on GCF of Fractions of 1006/831, 1736/3008
1. What is the HCF of 1006,1736?
The HCF of 1006,1736 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 1006/831, 1736/3008?
Answer: GCF of Numerators as per given numbers 1006/831, 1736/3008 is
GCF of Numerators i.e. for 1006,1736 is 2
LCM of denominators i.e. for 831,3008 is 2499648.
Thus, GCF of Fractions is 2/2499648.Finally, GCF of Fractions for 1006/831, 1736/3008 is 2/2499648.