GCF of 916/69, 900/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 916/69, 900/122 i.e 4/8418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 916/69, 900/122.
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 916/69,900/122?
Given fractions are 916/69,900/122
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 916/69,900/122, numerators are 916,900
Denominators are 69,122
The GCF of 916,900 is 4 .
LCM of 69,122 is 8418.
The greatest common factor of 916/69,900/122 = [GCF of 916,900]/[LCM of 69,122]= 4/8418
Therefore, the GCF of 916/69,900/122 is 4/8418.
To find the highest common factor of 916,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 916 are 1, 2, 4, 229, 458, 916
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 916,900 is 4.
Lets's calculate GCF of 916,900
| 2 | 916, 900 |
| 2 | 458, 450 |
| 229, 225 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 916,900 By Matching Biggest Common Factor Method
Now, list down the factors of 916
:1,2,4,229,458,916
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 916,900 . The biggest common factor number is the GCF number.
So the greatest common factor 916,900 is 4.
Lets's calculate LCM of 69,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 8418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8418
Therefore, the GCF of Fractions 916/69,900/122 is 4/8418
Least Common Multiple of 69,122 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 69,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,122) x common factors =1 x 1 = 1
LCM(69,122) = ( 69 × 122 ) / 1
LCM(69,122) = 8418 / 1
LCM(69,122) = 8418
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FAQs on GCF of Fractions of 916/69, 900/122
1. What is the HCF of 916,900?
The HCF of 916,900 is 4
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 916/69, 900/122?
Answer: GCF of Numerators as per given numbers 916/69, 900/122 is
GCF of Numerators i.e. for 916,900 is 4
LCM of denominators i.e. for 69,122 is 8418.
Thus, GCF of Fractions is 4/8418.Finally, GCF of Fractions for 916/69, 900/122 is 4/8418.