GCF of 98/416, 77/176, 923/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/416, 77/176, 923/320 i.e 1/45760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/416, 77/176, 923/320.
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 98/416,77/176,923/320?
Given fractions are 98/416,77/176,923/320
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 98/416,77/176,923/320, numerators are 98,77,923
Denominators are 416,176,320
The GCF of 98,77,923 is 1 .
LCM of 416,176,320 is 45760.
The greatest common factor of 98/416,77/176,923/320 = [GCF of 98,77,923]/[LCM of 416,176,320]= 1/45760
Therefore, the GCF of 98/416,77/176,923/320 is 1/45760.
To find the highest common factor of 98,77,923, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 77 are 1, 7, 11, 77
The factors of 923 are 1, 13, 71, 923
The HCF of 98,77,923 is 1.
Lets's calculate GCF of 98,77,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,77,923 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 923
:1,13,71,923
Greatest Common Factor
We found the factors 98,77,923 . The biggest common factor number is the GCF number.
So the greatest common factor 98,77,923 is 1.
Lets's calculate LCM of 416,176,320
| 2 | 416, 176, 320 |
| 2 | 208, 88, 160 |
| 2 | 104, 44, 80 |
| 2 | 52, 22, 40 |
| 2 | 26, 11, 20 |
| 13, 11, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 11 x 10 = 45760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45760
Therefore, the GCF of Fractions 98/416,77/176,923/320 is 1/45760
Least Common Multiple of 416,176,320 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 416,176,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,176,320) = 16
common factors(in case of two or more numbers have common factors) = 32
GCF(416,176,320) x common factors =16 x 32 = 512
LCM(416,176,320) = ( 416 × 176 × 320 ) / 512
LCM(416,176,320) = 23429120 / 512
LCM(416,176,320) = 45760
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FAQs on GCF of Fractions of 98/416, 77/176, 923/320
1. What is the HCF of 98,77,923?
The HCF of 98,77,923 is 1
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 98/416, 77/176, 923/320?
Answer: GCF of Numerators as per given numbers 98/416, 77/176, 923/320 is
GCF of Numerators i.e. for 98,77,923 is 1
LCM of denominators i.e. for 416,176,320 is 45760.
Thus, GCF of Fractions is 1/45760.Finally, GCF of Fractions for 98/416, 77/176, 923/320 is 1/45760.