GCF of 1158/462, 2175/7417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1158/462, 2175/7417 i.e 3/3426654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1158/462, 2175/7417.
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 1158/462,2175/7417?
Given fractions are 1158/462,2175/7417
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 1158/462,2175/7417, numerators are 1158,2175
Denominators are 462,7417
The GCF of 1158,2175 is 3 .
LCM of 462,7417 is 3426654.
The greatest common factor of 1158/462,2175/7417 = [GCF of 1158,2175]/[LCM of 462,7417]= 3/3426654
Therefore, the GCF of 1158/462,2175/7417 is 3/3426654.
To find the highest common factor of 1158,2175, we have to find the factors of both numbers and list the highest common factor.
The factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158
The factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
The HCF of 1158,2175 is 3.
Lets's calculate GCF of 1158,2175
| 3 | 1158, 2175 |
| 386, 725 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1158,2175 By Matching Biggest Common Factor Method
Now, list down the factors of 1158
:1,2,3,6,193,386,579,1158
Now, list down the factors of 2175
:1,3,5,15,25,29,75,87,145,435,725,2175
Greatest Common Factor
We found the factors 1158,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 1158,2175 is 3.
Lets's calculate LCM of 462,7417
Given numbers has no common factors except 1. So, there LCM is their product i.e 3426654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3426654
Therefore, the GCF of Fractions 1158/462,2175/7417 is 3/3426654
Least Common Multiple of 462,7417 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 462,7417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,7417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,7417) x common factors =1 x 1 = 1
LCM(462,7417) = ( 462 × 7417 ) / 1
LCM(462,7417) = 3426654 / 1
LCM(462,7417) = 3426654
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FAQs on GCF of Fractions of 1158/462, 2175/7417
1. What is the HCF of 1158,2175?
The HCF of 1158,2175 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 1158/462, 2175/7417?
Answer: GCF of Numerators as per given numbers 1158/462, 2175/7417 is
GCF of Numerators i.e. for 1158,2175 is 3
LCM of denominators i.e. for 462,7417 is 3426654.
Thus, GCF of Fractions is 3/3426654.Finally, GCF of Fractions for 1158/462, 2175/7417 is 3/3426654.