GCF of 1875/414, 4700/2907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1875/414, 4700/2907 i.e 25/133722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1875/414, 4700/2907.
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 1875/414,4700/2907?
Given fractions are 1875/414,4700/2907
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 1875/414,4700/2907, numerators are 1875,4700
Denominators are 414,2907
The GCF of 1875,4700 is 25 .
LCM of 414,2907 is 133722.
The greatest common factor of 1875/414,4700/2907 = [GCF of 1875,4700]/[LCM of 414,2907]= 25/133722
Therefore, the GCF of 1875/414,4700/2907 is 25/133722.
To find the highest common factor of 1875,4700, we have to find the factors of both numbers and list the highest common factor.
The factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875
The factors of 4700 are 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350, 4700
The HCF of 1875,4700 is 25.
Lets's calculate GCF of 1875,4700
| 5 | 1875, 4700 |
| 5 | 375, 940 |
| 75, 188 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 1875,4700 By Matching Biggest Common Factor Method
Now, list down the factors of 1875
:1,3,5,15,25,75,125,375,625,1875
Now, list down the factors of 4700
:1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700
Greatest Common Factor
We found the factors 1875,4700 . The biggest common factor number is the GCF number.
So the greatest common factor 1875,4700 is 25.
Lets's calculate LCM of 414,2907
| 3 | 414, 2907 |
| 3 | 138, 969 |
| 46, 323 |
∴ So the LCM of the given numbers is 3 x 3 x 46 x 323 = 133722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/133722
Therefore, the GCF of Fractions 1875/414,4700/2907 is 25/133722
Least Common Multiple of 414,2907 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 414,2907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,2907) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(414,2907) x common factors =9 x 1 = 9
LCM(414,2907) = ( 414 × 2907 ) / 9
LCM(414,2907) = 1203498 / 9
LCM(414,2907) = 133722
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FAQs on GCF of Fractions of 1875/414, 4700/2907
1. What is the HCF of 1875,4700?
The HCF of 1875,4700 is 25
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 1875/414, 4700/2907?
Answer: GCF of Numerators as per given numbers 1875/414, 4700/2907 is
GCF of Numerators i.e. for 1875,4700 is 25
LCM of denominators i.e. for 414,2907 is 133722.
Thus, GCF of Fractions is 25/133722.Finally, GCF of Fractions for 1875/414, 4700/2907 is 25/133722.