GCF of 1701/644, 5652/7776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1701/644, 5652/7776 i.e 9/1251936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1701/644, 5652/7776.
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 1701/644,5652/7776?
Given fractions are 1701/644,5652/7776
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 1701/644,5652/7776, numerators are 1701,5652
Denominators are 644,7776
The GCF of 1701,5652 is 9 .
LCM of 644,7776 is 1251936.
The greatest common factor of 1701/644,5652/7776 = [GCF of 1701,5652]/[LCM of 644,7776]= 9/1251936
Therefore, the GCF of 1701/644,5652/7776 is 9/1251936.
To find the highest common factor of 1701,5652, we have to find the factors of both numbers and list the highest common factor.
The factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
The factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652
The HCF of 1701,5652 is 9.
Lets's calculate GCF of 1701,5652
| 3 | 1701, 5652 |
| 3 | 567, 1884 |
| 189, 628 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1701,5652 By Matching Biggest Common Factor Method
Now, list down the factors of 1701
:1,3,7,9,21,27,63,81,189,243,567,1701
Now, list down the factors of 5652
:1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652
Greatest Common Factor
We found the factors 1701,5652 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,5652 is 9.
Lets's calculate LCM of 644,7776
| 2 | 644, 7776 |
| 2 | 322, 3888 |
| 161, 1944 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 1944 = 1251936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1251936
Therefore, the GCF of Fractions 1701/644,5652/7776 is 9/1251936
Least Common Multiple of 644,7776 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 644,7776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,7776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,7776) x common factors =4 x 1 = 4
LCM(644,7776) = ( 644 × 7776 ) / 4
LCM(644,7776) = 5007744 / 4
LCM(644,7776) = 1251936
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FAQs on GCF of Fractions of 1701/644, 5652/7776
1. What is the HCF of 1701,5652?
The HCF of 1701,5652 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 1701/644, 5652/7776?
Answer: GCF of Numerators as per given numbers 1701/644, 5652/7776 is
GCF of Numerators i.e. for 1701,5652 is 9
LCM of denominators i.e. for 644,7776 is 1251936.
Thus, GCF of Fractions is 9/1251936.Finally, GCF of Fractions for 1701/644, 5652/7776 is 9/1251936.