GCF of 776/220, 6016/3728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 776/220, 6016/3728 i.e 8/205040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/220, 6016/3728.
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 776/220,6016/3728?
Given fractions are 776/220,6016/3728
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 776/220,6016/3728, numerators are 776,6016
Denominators are 220,3728
The GCF of 776,6016 is 8 .
LCM of 220,3728 is 205040.
The greatest common factor of 776/220,6016/3728 = [GCF of 776,6016]/[LCM of 220,3728]= 8/205040
Therefore, the GCF of 776/220,6016/3728 is 8/205040.
To find the highest common factor of 776,6016, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016
The HCF of 776,6016 is 8.
Lets's calculate GCF of 776,6016
| 2 | 776, 6016 |
| 2 | 388, 3008 |
| 2 | 194, 1504 |
| 97, 752 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 776,6016 By Matching Biggest Common Factor Method
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 6016
:1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016
Greatest Common Factor
We found the factors 776,6016 . The biggest common factor number is the GCF number.
So the greatest common factor 776,6016 is 8.
Lets's calculate LCM of 220,3728
| 2 | 220, 3728 |
| 2 | 110, 1864 |
| 55, 932 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 932 = 205040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/205040
Therefore, the GCF of Fractions 776/220,6016/3728 is 8/205040
Least Common Multiple of 220,3728 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 220,3728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,3728) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,3728) x common factors =4 x 1 = 4
LCM(220,3728) = ( 220 × 3728 ) / 4
LCM(220,3728) = 820160 / 4
LCM(220,3728) = 205040
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FAQs on GCF of Fractions of 776/220, 6016/3728
1. What is the HCF of 776,6016?
The HCF of 776,6016 is 8
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 776/220, 6016/3728?
Answer: GCF of Numerators as per given numbers 776/220, 6016/3728 is
GCF of Numerators i.e. for 776,6016 is 8
LCM of denominators i.e. for 220,3728 is 205040.
Thus, GCF of Fractions is 8/205040.Finally, GCF of Fractions for 776/220, 6016/3728 is 8/205040.