GCF of 6108/965, 7125/1532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6108/965, 7125/1532 i.e 3/1478380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6108/965, 7125/1532.
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 6108/965,7125/1532?
Given fractions are 6108/965,7125/1532
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 6108/965,7125/1532, numerators are 6108,7125
Denominators are 965,1532
The GCF of 6108,7125 is 3 .
LCM of 965,1532 is 1478380.
The greatest common factor of 6108/965,7125/1532 = [GCF of 6108,7125]/[LCM of 965,1532]= 3/1478380
Therefore, the GCF of 6108/965,7125/1532 is 3/1478380.
To find the highest common factor of 6108,7125, we have to find the factors of both numbers and list the highest common factor.
The factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108
The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
The HCF of 6108,7125 is 3.
Lets's calculate GCF of 6108,7125
| 3 | 6108, 7125 |
| 2036, 2375 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6108,7125 By Matching Biggest Common Factor Method
Now, list down the factors of 6108
:1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Now, list down the factors of 7125
:1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 6108,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 6108,7125 is 3.
Lets's calculate LCM of 965,1532
Given numbers has no common factors except 1. So, there LCM is their product i.e 1478380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1478380
Therefore, the GCF of Fractions 6108/965,7125/1532 is 3/1478380
Least Common Multiple of 965,1532 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 965,1532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,1532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,1532) x common factors =1 x 1 = 1
LCM(965,1532) = ( 965 × 1532 ) / 1
LCM(965,1532) = 1478380 / 1
LCM(965,1532) = 1478380
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FAQs on GCF of Fractions of 6108/965, 7125/1532
1. What is the HCF of 6108,7125?
The HCF of 6108,7125 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 6108/965, 7125/1532?
Answer: GCF of Numerators as per given numbers 6108/965, 7125/1532 is
GCF of Numerators i.e. for 6108,7125 is 3
LCM of denominators i.e. for 965,1532 is 1478380.
Thus, GCF of Fractions is 3/1478380.Finally, GCF of Fractions for 6108/965, 7125/1532 is 3/1478380.