GCF of 6048/695, 5792/5760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6048/695, 5792/5760 i.e 32/800640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6048/695, 5792/5760.
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 6048/695,5792/5760?
Given fractions are 6048/695,5792/5760
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 6048/695,5792/5760, numerators are 6048,5792
Denominators are 695,5760
The GCF of 6048,5792 is 32 .
LCM of 695,5760 is 800640.
The greatest common factor of 6048/695,5792/5760 = [GCF of 6048,5792]/[LCM of 695,5760]= 32/800640
Therefore, the GCF of 6048/695,5792/5760 is 32/800640.
To find the highest common factor of 6048,5792, we have to find the factors of both numbers and list the highest common factor.
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The HCF of 6048,5792 is 32.
Lets's calculate GCF of 6048,5792
| 2 | 6048, 5792 |
| 2 | 3024, 2896 |
| 2 | 1512, 1448 |
| 2 | 756, 724 |
| 2 | 378, 362 |
| 189, 181 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 6048,5792 By Matching Biggest Common Factor Method
Now, list down the factors of 6048
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 6048,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 6048,5792 is 32.
Lets's calculate LCM of 695,5760
| 5 | 695, 5760 |
| 139, 1152 |
∴ So the LCM of the given numbers is 5 x 139 x 1152 = 800640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/800640
Therefore, the GCF of Fractions 6048/695,5792/5760 is 32/800640
Least Common Multiple of 695,5760 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 695,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,5760) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,5760) x common factors =5 x 1 = 5
LCM(695,5760) = ( 695 × 5760 ) / 5
LCM(695,5760) = 4003200 / 5
LCM(695,5760) = 800640
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FAQs on GCF of Fractions of 6048/695, 5792/5760
1. What is the HCF of 6048,5792?
The HCF of 6048,5792 is 32
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 6048/695, 5792/5760?
Answer: GCF of Numerators as per given numbers 6048/695, 5792/5760 is
GCF of Numerators i.e. for 6048,5792 is 32
LCM of denominators i.e. for 695,5760 is 800640.
Thus, GCF of Fractions is 32/800640.Finally, GCF of Fractions for 6048/695, 5792/5760 is 32/800640.