GCF of 1915/270, 7382/2058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1915/270, 7382/2058 i.e 1/92610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1915/270, 7382/2058.
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 1915/270,7382/2058?
Given fractions are 1915/270,7382/2058
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 1915/270,7382/2058, numerators are 1915,7382
Denominators are 270,2058
The GCF of 1915,7382 is 1 .
LCM of 270,2058 is 92610.
The greatest common factor of 1915/270,7382/2058 = [GCF of 1915,7382]/[LCM of 270,2058]= 1/92610
Therefore, the GCF of 1915/270,7382/2058 is 1/92610.
To find the highest common factor of 1915,7382, we have to find the factors of both numbers and list the highest common factor.
The factors of 1915 are 1, 5, 383, 1915
The factors of 7382 are 1, 2, 3691, 7382
The HCF of 1915,7382 is 1.
Lets's calculate GCF of 1915,7382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1915,7382 By Matching Biggest Common Factor Method
Now, list down the factors of 1915
:1,5,383,1915
Now, list down the factors of 7382
:1,2,3691,7382
Greatest Common Factor
We found the factors 1915,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 1915,7382 is 1.
Lets's calculate LCM of 270,2058
| 2 | 270, 2058 |
| 3 | 135, 1029 |
| 45, 343 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 343 = 92610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92610
Therefore, the GCF of Fractions 1915/270,7382/2058 is 1/92610
Least Common Multiple of 270,2058 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 270,2058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,2058) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,2058) x common factors =6 x 1 = 6
LCM(270,2058) = ( 270 × 2058 ) / 6
LCM(270,2058) = 555660 / 6
LCM(270,2058) = 92610
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FAQs on GCF of Fractions of 1915/270, 7382/2058
1. What is the HCF of 1915,7382?
The HCF of 1915,7382 is 1
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 1915/270, 7382/2058?
Answer: GCF of Numerators as per given numbers 1915/270, 7382/2058 is
GCF of Numerators i.e. for 1915,7382 is 1
LCM of denominators i.e. for 270,2058 is 92610.
Thus, GCF of Fractions is 1/92610.Finally, GCF of Fractions for 1915/270, 7382/2058 is 1/92610.