GCF of 7545/310, 4108/1855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7545/310, 4108/1855 i.e 1/115010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7545/310, 4108/1855.
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 7545/310,4108/1855?
Given fractions are 7545/310,4108/1855
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 7545/310,4108/1855, numerators are 7545,4108
Denominators are 310,1855
The GCF of 7545,4108 is 1 .
LCM of 310,1855 is 115010.
The greatest common factor of 7545/310,4108/1855 = [GCF of 7545,4108]/[LCM of 310,1855]= 1/115010
Therefore, the GCF of 7545/310,4108/1855 is 1/115010.
To find the highest common factor of 7545,4108, we have to find the factors of both numbers and list the highest common factor.
The factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545
The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108
The HCF of 7545,4108 is 1.
Lets's calculate GCF of 7545,4108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7545,4108 By Matching Biggest Common Factor Method
Now, list down the factors of 7545
:1,3,5,15,503,1509,2515,7545
Now, list down the factors of 4108
:1,2,4,13,26,52,79,158,316,1027,2054,4108
Greatest Common Factor
We found the factors 7545,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 7545,4108 is 1.
Lets's calculate LCM of 310,1855
| 5 | 310, 1855 |
| 62, 371 |
∴ So the LCM of the given numbers is 5 x 62 x 371 = 115010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115010
Therefore, the GCF of Fractions 7545/310,4108/1855 is 1/115010
Least Common Multiple of 310,1855 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 310,1855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,1855) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(310,1855) x common factors =5 x 1 = 5
LCM(310,1855) = ( 310 × 1855 ) / 5
LCM(310,1855) = 575050 / 5
LCM(310,1855) = 115010
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FAQs on GCF of Fractions of 7545/310, 4108/1855
1. What is the HCF of 7545,4108?
The HCF of 7545,4108 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 7545/310, 4108/1855?
Answer: GCF of Numerators as per given numbers 7545/310, 4108/1855 is
GCF of Numerators i.e. for 7545,4108 is 1
LCM of denominators i.e. for 310,1855 is 115010.
Thus, GCF of Fractions is 1/115010.Finally, GCF of Fractions for 7545/310, 4108/1855 is 1/115010.