GCF of 2445/100, 9138/1567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2445/100, 9138/1567 i.e 3/156700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2445/100, 9138/1567.
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 2445/100,9138/1567?
Given fractions are 2445/100,9138/1567
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 2445/100,9138/1567, numerators are 2445,9138
Denominators are 100,1567
The GCF of 2445,9138 is 3 .
LCM of 100,1567 is 156700.
The greatest common factor of 2445/100,9138/1567 = [GCF of 2445,9138]/[LCM of 100,1567]= 3/156700
Therefore, the GCF of 2445/100,9138/1567 is 3/156700.
To find the highest common factor of 2445,9138, we have to find the factors of both numbers and list the highest common factor.
The factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445
The factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138
The HCF of 2445,9138 is 3.
Lets's calculate GCF of 2445,9138
| 3 | 2445, 9138 |
| 815, 3046 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2445,9138 By Matching Biggest Common Factor Method
Now, list down the factors of 2445
:1,3,5,15,163,489,815,2445
Now, list down the factors of 9138
:1,2,3,6,1523,3046,4569,9138
Greatest Common Factor
We found the factors 2445,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 2445,9138 is 3.
Lets's calculate LCM of 100,1567
Given numbers has no common factors except 1. So, there LCM is their product i.e 156700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156700
Therefore, the GCF of Fractions 2445/100,9138/1567 is 3/156700
Least Common Multiple of 100,1567 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 100,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,1567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,1567) x common factors =1 x 1 = 1
LCM(100,1567) = ( 100 × 1567 ) / 1
LCM(100,1567) = 156700 / 1
LCM(100,1567) = 156700
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FAQs on GCF of Fractions of 2445/100, 9138/1567
1. What is the HCF of 2445,9138?
The HCF of 2445,9138 is 3
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 2445/100, 9138/1567?
Answer: GCF of Numerators as per given numbers 2445/100, 9138/1567 is
GCF of Numerators i.e. for 2445,9138 is 3
LCM of denominators i.e. for 100,1567 is 156700.
Thus, GCF of Fractions is 3/156700.Finally, GCF of Fractions for 2445/100, 9138/1567 is 3/156700.