GCF of 776/74, 928/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 776/74, 928/256 i.e 8/9472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/74, 928/256.
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 776/74,928/256?
Given fractions are 776/74,928/256
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 776/74,928/256, numerators are 776,928
Denominators are 74,256
The GCF of 776,928 is 8 .
LCM of 74,256 is 9472.
The greatest common factor of 776/74,928/256 = [GCF of 776,928]/[LCM of 74,256]= 8/9472
Therefore, the GCF of 776/74,928/256 is 8/9472.
To find the highest common factor of 776,928, 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 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The HCF of 776,928 is 8.
Lets's calculate GCF of 776,928
| 2 | 776, 928 |
| 2 | 388, 464 |
| 2 | 194, 232 |
| 97, 116 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 776,928 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 928
:1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 776,928 . The biggest common factor number is the GCF number.
So the greatest common factor 776,928 is 8.
Lets's calculate LCM of 74,256
| 2 | 74, 256 |
| 37, 128 |
∴ So the LCM of the given numbers is 2 x 37 x 128 = 9472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/9472
Therefore, the GCF of Fractions 776/74,928/256 is 8/9472
Least Common Multiple of 74,256 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 74,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,256) x common factors =2 x 1 = 2
LCM(74,256) = ( 74 × 256 ) / 2
LCM(74,256) = 18944 / 2
LCM(74,256) = 9472
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FAQs on GCF of Fractions of 776/74, 928/256
1. What is the HCF of 776,928?
The HCF of 776,928 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 776/74, 928/256?
Answer: GCF of Numerators as per given numbers 776/74, 928/256 is
GCF of Numerators i.e. for 776,928 is 8
LCM of denominators i.e. for 74,256 is 9472.
Thus, GCF of Fractions is 8/9472.Finally, GCF of Fractions for 776/74, 928/256 is 8/9472.