GCF of 22/129, 48/584, 915/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/129, 48/584, 915/500 i.e 1/9417000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/129, 48/584, 915/500.
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 22/129,48/584,915/500?
Given fractions are 22/129,48/584,915/500
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 22/129,48/584,915/500, numerators are 22,48,915
Denominators are 129,584,500
The GCF of 22,48,915 is 1 .
LCM of 129,584,500 is 9417000.
The greatest common factor of 22/129,48/584,915/500 = [GCF of 22,48,915]/[LCM of 129,584,500]= 1/9417000
Therefore, the GCF of 22/129,48/584,915/500 is 1/9417000.
To find the highest common factor of 22,48,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 22,48,915 is 1.
Lets's calculate GCF of 22,48,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 22,48,915 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 22,48,915 . The biggest common factor number is the GCF number.
So the greatest common factor 22,48,915 is 1.
Lets's calculate LCM of 129,584,500
| 2 | 129, 584, 500 |
| 2 | 129, 292, 250 |
| 129, 146, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 129 x 146 x 125 = 9417000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9417000
Therefore, the GCF of Fractions 22/129,48/584,915/500 is 1/9417000
Least Common Multiple of 129,584,500 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 129,584,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,584,500) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(129,584,500) x common factors =1 x 4 = 4
LCM(129,584,500) = ( 129 × 584 × 500 ) / 4
LCM(129,584,500) = 37668000 / 4
LCM(129,584,500) = 9417000
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FAQs on GCF of Fractions of 22/129, 48/584, 915/500
1. What is the HCF of 22,48,915?
The HCF of 22,48,915 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 22/129, 48/584, 915/500?
Answer: GCF of Numerators as per given numbers 22/129, 48/584, 915/500 is
GCF of Numerators i.e. for 22,48,915 is 1
LCM of denominators i.e. for 129,584,500 is 9417000.
Thus, GCF of Fractions is 1/9417000.Finally, GCF of Fractions for 22/129, 48/584, 915/500 is 1/9417000.