GCF of 640/811, 7488/8719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 640/811, 7488/8719 i.e 64/7071109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/811, 7488/8719.
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 640/811,7488/8719?
Given fractions are 640/811,7488/8719
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 640/811,7488/8719, numerators are 640,7488
Denominators are 811,8719
The GCF of 640,7488 is 64 .
LCM of 811,8719 is 7071109.
The greatest common factor of 640/811,7488/8719 = [GCF of 640,7488]/[LCM of 811,8719]= 64/7071109
Therefore, the GCF of 640/811,7488/8719 is 64/7071109.
To find the highest common factor of 640,7488, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488
The HCF of 640,7488 is 64.
Lets's calculate GCF of 640,7488
| 2 | 640, 7488 |
| 2 | 320, 3744 |
| 2 | 160, 1872 |
| 2 | 80, 936 |
| 2 | 40, 468 |
| 2 | 20, 234 |
| 10, 117 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 640,7488 By Matching Biggest Common Factor Method
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 7488
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488
Greatest Common Factor
We found the factors 640,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 640,7488 is 64.
Lets's calculate LCM of 811,8719
Given numbers has no common factors except 1. So, there LCM is their product i.e 7071109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/7071109
Therefore, the GCF of Fractions 640/811,7488/8719 is 64/7071109
Least Common Multiple of 811,8719 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 811,8719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,8719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,8719) x common factors =1 x 1 = 1
LCM(811,8719) = ( 811 × 8719 ) / 1
LCM(811,8719) = 7071109 / 1
LCM(811,8719) = 7071109
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FAQs on GCF of Fractions of 640/811, 7488/8719
1. What is the HCF of 640,7488?
The HCF of 640,7488 is 64
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 640/811, 7488/8719?
Answer: GCF of Numerators as per given numbers 640/811, 7488/8719 is
GCF of Numerators i.e. for 640,7488 is 64
LCM of denominators i.e. for 811,8719 is 7071109.
Thus, GCF of Fractions is 64/7071109.Finally, GCF of Fractions for 640/811, 7488/8719 is 64/7071109.