GCF of 2675/178, 7215/6387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2675/178, 7215/6387 i.e 5/1136886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2675/178, 7215/6387.
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 2675/178,7215/6387?
Given fractions are 2675/178,7215/6387
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 2675/178,7215/6387, numerators are 2675,7215
Denominators are 178,6387
The GCF of 2675,7215 is 5 .
LCM of 178,6387 is 1136886.
The greatest common factor of 2675/178,7215/6387 = [GCF of 2675,7215]/[LCM of 178,6387]= 5/1136886
Therefore, the GCF of 2675/178,7215/6387 is 5/1136886.
To find the highest common factor of 2675,7215, we have to find the factors of both numbers and list the highest common factor.
The factors of 2675 are 1, 5, 25, 107, 535, 2675
The factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The HCF of 2675,7215 is 5.
Lets's calculate GCF of 2675,7215
| 5 | 2675, 7215 |
| 535, 1443 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2675,7215 By Matching Biggest Common Factor Method
Now, list down the factors of 2675
:1,5,25,107,535,2675
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Greatest Common Factor
We found the factors 2675,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 2675,7215 is 5.
Lets's calculate LCM of 178,6387
Given numbers has no common factors except 1. So, there LCM is their product i.e 1136886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1136886
Therefore, the GCF of Fractions 2675/178,7215/6387 is 5/1136886
Least Common Multiple of 178,6387 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 178,6387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,6387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,6387) x common factors =1 x 1 = 1
LCM(178,6387) = ( 178 × 6387 ) / 1
LCM(178,6387) = 1136886 / 1
LCM(178,6387) = 1136886
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FAQs on GCF of Fractions of 2675/178, 7215/6387
1. What is the HCF of 2675,7215?
The HCF of 2675,7215 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 2675/178, 7215/6387?
Answer: GCF of Numerators as per given numbers 2675/178, 7215/6387 is
GCF of Numerators i.e. for 2675,7215 is 5
LCM of denominators i.e. for 178,6387 is 1136886.
Thus, GCF of Fractions is 5/1136886.Finally, GCF of Fractions for 2675/178, 7215/6387 is 5/1136886.