GCF of 928/148, 580/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 928/148, 580/756 i.e 116/27972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/148, 580/756.
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 928/148,580/756?
Given fractions are 928/148,580/756
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 928/148,580/756, numerators are 928,580
Denominators are 148,756
The GCF of 928,580 is 116 .
LCM of 148,756 is 27972.
The greatest common factor of 928/148,580/756 = [GCF of 928,580]/[LCM of 148,756]= 116/27972
Therefore, the GCF of 928/148,580/756 is 116/27972.
To find the highest common factor of 928,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 928,580 is 116.
Lets's calculate GCF of 928,580
| 2 | 928, 580 |
| 2 | 464, 290 |
| 29 | 232, 145 |
| 8, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 29 = 116
Greatest Common Factor of 928,580 By Matching Biggest Common Factor Method
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 928,580 . The biggest common factor number is the GCF number.
So the greatest common factor 928,580 is 116.
Lets's calculate LCM of 148,756
| 2 | 148, 756 |
| 2 | 74, 378 |
| 37, 189 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 189 = 27972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/27972
Therefore, the GCF of Fractions 928/148,580/756 is 116/27972
Least Common Multiple of 148,756 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 148,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,756) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,756) x common factors =4 x 1 = 4
LCM(148,756) = ( 148 × 756 ) / 4
LCM(148,756) = 111888 / 4
LCM(148,756) = 27972
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FAQs on GCF of Fractions of 928/148, 580/756
1. What is the HCF of 928,580?
The HCF of 928,580 is 116
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 928/148, 580/756?
Answer: GCF of Numerators as per given numbers 928/148, 580/756 is
GCF of Numerators i.e. for 928,580 is 116
LCM of denominators i.e. for 148,756 is 27972.
Thus, GCF of Fractions is 116/27972.Finally, GCF of Fractions for 928/148, 580/756 is 116/27972.