GCF of 1485/101, 8064/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1485/101, 8064/757 i.e 9/76457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1485/101, 8064/757.
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 1485/101,8064/757?
Given fractions are 1485/101,8064/757
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 1485/101,8064/757, numerators are 1485,8064
Denominators are 101,757
The GCF of 1485,8064 is 9 .
LCM of 101,757 is 76457.
The greatest common factor of 1485/101,8064/757 = [GCF of 1485,8064]/[LCM of 101,757]= 9/76457
Therefore, the GCF of 1485/101,8064/757 is 9/76457.
To find the highest common factor of 1485,8064, we have to find the factors of both numbers and list the highest common factor.
The factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The HCF of 1485,8064 is 9.
Lets's calculate GCF of 1485,8064
| 3 | 1485, 8064 |
| 3 | 495, 2688 |
| 165, 896 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1485,8064 By Matching Biggest Common Factor Method
Now, list down the factors of 1485
:1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Greatest Common Factor
We found the factors 1485,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 1485,8064 is 9.
Lets's calculate LCM of 101,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 76457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/76457
Therefore, the GCF of Fractions 1485/101,8064/757 is 9/76457
Least Common Multiple of 101,757 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 101,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,757) x common factors =1 x 1 = 1
LCM(101,757) = ( 101 × 757 ) / 1
LCM(101,757) = 76457 / 1
LCM(101,757) = 76457
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FAQs on GCF of Fractions of 1485/101, 8064/757
1. What is the HCF of 1485,8064?
The HCF of 1485,8064 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 1485/101, 8064/757?
Answer: GCF of Numerators as per given numbers 1485/101, 8064/757 is
GCF of Numerators i.e. for 1485,8064 is 9
LCM of denominators i.e. for 101,757 is 76457.
Thus, GCF of Fractions is 9/76457.Finally, GCF of Fractions for 1485/101, 8064/757 is 9/76457.