GCF of 115/49, 900/1374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 115/49, 900/1374 i.e 5/67326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/49, 900/1374.
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 115/49,900/1374?
Given fractions are 115/49,900/1374
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 115/49,900/1374, numerators are 115,900
Denominators are 49,1374
The GCF of 115,900 is 5 .
LCM of 49,1374 is 67326.
The greatest common factor of 115/49,900/1374 = [GCF of 115,900]/[LCM of 49,1374]= 5/67326
Therefore, the GCF of 115/49,900/1374 is 5/67326.
To find the highest common factor of 115,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 115 are 1, 5, 23, 115
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 115,900 is 5.
Lets's calculate GCF of 115,900
| 5 | 115, 900 |
| 23, 180 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 115,900 By Matching Biggest Common Factor Method
Now, list down the factors of 115
:1,5,23,115
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 115,900 . The biggest common factor number is the GCF number.
So the greatest common factor 115,900 is 5.
Lets's calculate LCM of 49,1374
Given numbers has no common factors except 1. So, there LCM is their product i.e 67326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/67326
Therefore, the GCF of Fractions 115/49,900/1374 is 5/67326
Least Common Multiple of 49,1374 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 49,1374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,1374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,1374) x common factors =1 x 1 = 1
LCM(49,1374) = ( 49 × 1374 ) / 1
LCM(49,1374) = 67326 / 1
LCM(49,1374) = 67326
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FAQs on GCF of Fractions of 115/49, 900/1374
1. What is the HCF of 115,900?
The HCF of 115,900 is 5
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 115/49, 900/1374?
Answer: GCF of Numerators as per given numbers 115/49, 900/1374 is
GCF of Numerators i.e. for 115,900 is 5
LCM of denominators i.e. for 49,1374 is 67326.
Thus, GCF of Fractions is 5/67326.Finally, GCF of Fractions for 115/49, 900/1374 is 5/67326.