GCF of 375/542, 372/803
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 375/542, 372/803 i.e 3/435226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/542, 372/803.
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 375/542,372/803?
Given fractions are 375/542,372/803
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 375/542,372/803, numerators are 375,372
Denominators are 542,803
The GCF of 375,372 is 3 .
LCM of 542,803 is 435226.
The greatest common factor of 375/542,372/803 = [GCF of 375,372]/[LCM of 542,803]= 3/435226
Therefore, the GCF of 375/542,372/803 is 3/435226.
To find the highest common factor of 375,372, we have to find the factors of both numbers and list the highest common factor.
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The HCF of 375,372 is 3.
Lets's calculate GCF of 375,372
| 3 | 375, 372 |
| 125, 124 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 375,372 By Matching Biggest Common Factor Method
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 375,372 . The biggest common factor number is the GCF number.
So the greatest common factor 375,372 is 3.
Lets's calculate LCM of 542,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 435226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/435226
Therefore, the GCF of Fractions 375/542,372/803 is 3/435226
Least Common Multiple of 542,803 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 542,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,803) x common factors =1 x 1 = 1
LCM(542,803) = ( 542 × 803 ) / 1
LCM(542,803) = 435226 / 1
LCM(542,803) = 435226
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FAQs on GCF of Fractions of 375/542, 372/803
1. What is the HCF of 375,372?
The HCF of 375,372 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 375/542, 372/803?
Answer: GCF of Numerators as per given numbers 375/542, 372/803 is
GCF of Numerators i.e. for 375,372 is 3
LCM of denominators i.e. for 542,803 is 435226.
Thus, GCF of Fractions is 3/435226.Finally, GCF of Fractions for 375/542, 372/803 is 3/435226.