GCF of 3647/823, 1176/7983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3647/823, 1176/7983 i.e 7/6570009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3647/823, 1176/7983.
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 3647/823,1176/7983?
Given fractions are 3647/823,1176/7983
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 3647/823,1176/7983, numerators are 3647,1176
Denominators are 823,7983
The GCF of 3647,1176 is 7 .
LCM of 823,7983 is 6570009.
The greatest common factor of 3647/823,1176/7983 = [GCF of 3647,1176]/[LCM of 823,7983]= 7/6570009
Therefore, the GCF of 3647/823,1176/7983 is 7/6570009.
To find the highest common factor of 3647,1176, we have to find the factors of both numbers and list the highest common factor.
The factors of 3647 are 1, 7, 521, 3647
The factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176
The HCF of 3647,1176 is 7.
Lets's calculate GCF of 3647,1176
| 7 | 3647, 1176 |
| 521, 168 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3647,1176 By Matching Biggest Common Factor Method
Now, list down the factors of 3647
:1,7,521,3647
Now, list down the factors of 1176
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176
Greatest Common Factor
We found the factors 3647,1176 . The biggest common factor number is the GCF number.
So the greatest common factor 3647,1176 is 7.
Lets's calculate LCM of 823,7983
Given numbers has no common factors except 1. So, there LCM is their product i.e 6570009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6570009
Therefore, the GCF of Fractions 3647/823,1176/7983 is 7/6570009
Least Common Multiple of 823,7983 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 823,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,7983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,7983) x common factors =1 x 1 = 1
LCM(823,7983) = ( 823 × 7983 ) / 1
LCM(823,7983) = 6570009 / 1
LCM(823,7983) = 6570009
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FAQs on GCF of Fractions of 3647/823, 1176/7983
1. What is the HCF of 3647,1176?
The HCF of 3647,1176 is 7
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 3647/823, 1176/7983?
Answer: GCF of Numerators as per given numbers 3647/823, 1176/7983 is
GCF of Numerators i.e. for 3647,1176 is 7
LCM of denominators i.e. for 823,7983 is 6570009.
Thus, GCF of Fractions is 7/6570009.Finally, GCF of Fractions for 3647/823, 1176/7983 is 7/6570009.