GCF of 6687/664, 9297/2178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6687/664, 9297/2178 i.e 9/723096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6687/664, 9297/2178.
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 6687/664,9297/2178?
Given fractions are 6687/664,9297/2178
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 6687/664,9297/2178, numerators are 6687,9297
Denominators are 664,2178
The GCF of 6687,9297 is 9 .
LCM of 664,2178 is 723096.
The greatest common factor of 6687/664,9297/2178 = [GCF of 6687,9297]/[LCM of 664,2178]= 9/723096
Therefore, the GCF of 6687/664,9297/2178 is 9/723096.
To find the highest common factor of 6687,9297, we have to find the factors of both numbers and list the highest common factor.
The factors of 6687 are 1, 3, 9, 743, 2229, 6687
The factors of 9297 are 1, 3, 9, 1033, 3099, 9297
The HCF of 6687,9297 is 9.
Lets's calculate GCF of 6687,9297
| 3 | 6687, 9297 |
| 3 | 2229, 3099 |
| 743, 1033 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6687,9297 By Matching Biggest Common Factor Method
Now, list down the factors of 6687
:1,3,9,743,2229,6687
Now, list down the factors of 9297
:1,3,9,1033,3099,9297
Greatest Common Factor
We found the factors 6687,9297 . The biggest common factor number is the GCF number.
So the greatest common factor 6687,9297 is 9.
Lets's calculate LCM of 664,2178
| 2 | 664, 2178 |
| 332, 1089 |
∴ So the LCM of the given numbers is 2 x 332 x 1089 = 723096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/723096
Therefore, the GCF of Fractions 6687/664,9297/2178 is 9/723096
Least Common Multiple of 664,2178 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 664,2178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,2178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,2178) x common factors =2 x 1 = 2
LCM(664,2178) = ( 664 × 2178 ) / 2
LCM(664,2178) = 1446192 / 2
LCM(664,2178) = 723096
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FAQs on GCF of Fractions of 6687/664, 9297/2178
1. What is the HCF of 6687,9297?
The HCF of 6687,9297 is 9
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 6687/664, 9297/2178?
Answer: GCF of Numerators as per given numbers 6687/664, 9297/2178 is
GCF of Numerators i.e. for 6687,9297 is 9
LCM of denominators i.e. for 664,2178 is 723096.
Thus, GCF of Fractions is 9/723096.Finally, GCF of Fractions for 6687/664, 9297/2178 is 9/723096.