GCF of 3907/475, 5175/3052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3907/475, 5175/3052 i.e 1/1449700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3907/475, 5175/3052.
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 3907/475,5175/3052?
Given fractions are 3907/475,5175/3052
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 3907/475,5175/3052, numerators are 3907,5175
Denominators are 475,3052
The GCF of 3907,5175 is 1 .
LCM of 475,3052 is 1449700.
The greatest common factor of 3907/475,5175/3052 = [GCF of 3907,5175]/[LCM of 475,3052]= 1/1449700
Therefore, the GCF of 3907/475,5175/3052 is 1/1449700.
To find the highest common factor of 3907,5175, we have to find the factors of both numbers and list the highest common factor.
The factors of 3907 are 1, 3907
The factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
The HCF of 3907,5175 is 1.
Lets's calculate GCF of 3907,5175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3907,5175 By Matching Biggest Common Factor Method
Now, list down the factors of 3907
:1,3907
Now, list down the factors of 5175
:1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Greatest Common Factor
We found the factors 3907,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 3907,5175 is 1.
Lets's calculate LCM of 475,3052
Given numbers has no common factors except 1. So, there LCM is their product i.e 1449700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1449700
Therefore, the GCF of Fractions 3907/475,5175/3052 is 1/1449700
Least Common Multiple of 475,3052 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 475,3052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,3052) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,3052) x common factors =1 x 1 = 1
LCM(475,3052) = ( 475 × 3052 ) / 1
LCM(475,3052) = 1449700 / 1
LCM(475,3052) = 1449700
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FAQs on GCF of Fractions of 3907/475, 5175/3052
1. What is the HCF of 3907,5175?
The HCF of 3907,5175 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 3907/475, 5175/3052?
Answer: GCF of Numerators as per given numbers 3907/475, 5175/3052 is
GCF of Numerators i.e. for 3907,5175 is 1
LCM of denominators i.e. for 475,3052 is 1449700.
Thus, GCF of Fractions is 1/1449700.Finally, GCF of Fractions for 3907/475, 5175/3052 is 1/1449700.