GCF of 1195/272, 5485/1872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1195/272, 5485/1872 i.e 5/31824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1195/272, 5485/1872.
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 1195/272,5485/1872?
Given fractions are 1195/272,5485/1872
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 1195/272,5485/1872, numerators are 1195,5485
Denominators are 272,1872
The GCF of 1195,5485 is 5 .
LCM of 272,1872 is 31824.
The greatest common factor of 1195/272,5485/1872 = [GCF of 1195,5485]/[LCM of 272,1872]= 5/31824
Therefore, the GCF of 1195/272,5485/1872 is 5/31824.
To find the highest common factor of 1195,5485, we have to find the factors of both numbers and list the highest common factor.
The factors of 1195 are 1, 5, 239, 1195
The factors of 5485 are 1, 5, 1097, 5485
The HCF of 1195,5485 is 5.
Lets's calculate GCF of 1195,5485
| 5 | 1195, 5485 |
| 239, 1097 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1195,5485 By Matching Biggest Common Factor Method
Now, list down the factors of 1195
:1,5,239,1195
Now, list down the factors of 5485
:1,5,1097,5485
Greatest Common Factor
We found the factors 1195,5485 . The biggest common factor number is the GCF number.
So the greatest common factor 1195,5485 is 5.
Lets's calculate LCM of 272,1872
| 2 | 272, 1872 |
| 2 | 136, 936 |
| 2 | 68, 468 |
| 2 | 34, 234 |
| 17, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 117 = 31824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31824
Therefore, the GCF of Fractions 1195/272,5485/1872 is 5/31824
Least Common Multiple of 272,1872 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 272,1872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,1872) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(272,1872) x common factors =16 x 1 = 16
LCM(272,1872) = ( 272 × 1872 ) / 16
LCM(272,1872) = 509184 / 16
LCM(272,1872) = 31824
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FAQs on GCF of Fractions of 1195/272, 5485/1872
1. What is the HCF of 1195,5485?
The HCF of 1195,5485 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 1195/272, 5485/1872?
Answer: GCF of Numerators as per given numbers 1195/272, 5485/1872 is
GCF of Numerators i.e. for 1195,5485 is 5
LCM of denominators i.e. for 272,1872 is 31824.
Thus, GCF of Fractions is 5/31824.Finally, GCF of Fractions for 1195/272, 5485/1872 is 5/31824.