GCF of 766/499, 568/176, 176/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/499, 568/176, 176/320 i.e 2/1756480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/499, 568/176, 176/320.
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 766/499,568/176,176/320?
Given fractions are 766/499,568/176,176/320
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 766/499,568/176,176/320, numerators are 766,568,176
Denominators are 499,176,320
The GCF of 766,568,176 is 2 .
LCM of 499,176,320 is 1756480.
The greatest common factor of 766/499,568/176,176/320 = [GCF of 766,568,176]/[LCM of 499,176,320]= 2/1756480
Therefore, the GCF of 766/499,568/176,176/320 is 2/1756480.
To find the highest common factor of 766,568,176, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The HCF of 766,568,176 is 2.
Lets's calculate GCF of 766,568,176
| 2 | 766, 568, 176 |
| 383, 284, 88 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 766,568,176 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 766,568,176 . The biggest common factor number is the GCF number.
So the greatest common factor 766,568,176 is 2.
Lets's calculate LCM of 499,176,320
| 2 | 499, 176, 320 |
| 2 | 499, 88, 160 |
| 2 | 499, 44, 80 |
| 2 | 499, 22, 40 |
| 499, 11, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 499 x 11 x 20 = 1756480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1756480
Therefore, the GCF of Fractions 766/499,568/176,176/320 is 2/1756480
Least Common Multiple of 499,176,320 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 499,176,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,176,320) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(499,176,320) x common factors =1 x 16 = 16
LCM(499,176,320) = ( 499 × 176 × 320 ) / 16
LCM(499,176,320) = 28103680 / 16
LCM(499,176,320) = 1756480
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FAQs on GCF of Fractions of 766/499, 568/176, 176/320
1. What is the HCF of 766,568,176?
The HCF of 766,568,176 is 2
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 766/499, 568/176, 176/320?
Answer: GCF of Numerators as per given numbers 766/499, 568/176, 176/320 is
GCF of Numerators i.e. for 766,568,176 is 2
LCM of denominators i.e. for 499,176,320 is 1756480.
Thus, GCF of Fractions is 2/1756480.Finally, GCF of Fractions for 766/499, 568/176, 176/320 is 2/1756480.