GCF of 3175/346, 9300/5200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3175/346, 9300/5200 i.e 25/899600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3175/346, 9300/5200.
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 3175/346,9300/5200?
Given fractions are 3175/346,9300/5200
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 3175/346,9300/5200, numerators are 3175,9300
Denominators are 346,5200
The GCF of 3175,9300 is 25 .
LCM of 346,5200 is 899600.
The greatest common factor of 3175/346,9300/5200 = [GCF of 3175,9300]/[LCM of 346,5200]= 25/899600
Therefore, the GCF of 3175/346,9300/5200 is 25/899600.
To find the highest common factor of 3175,9300, we have to find the factors of both numbers and list the highest common factor.
The factors of 3175 are 1, 5, 25, 127, 635, 3175
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The HCF of 3175,9300 is 25.
Lets's calculate GCF of 3175,9300
| 5 | 3175, 9300 |
| 5 | 635, 1860 |
| 127, 372 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 3175,9300 By Matching Biggest Common Factor Method
Now, list down the factors of 3175
:1,5,25,127,635,3175
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Greatest Common Factor
We found the factors 3175,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 3175,9300 is 25.
Lets's calculate LCM of 346,5200
| 2 | 346, 5200 |
| 173, 2600 |
∴ So the LCM of the given numbers is 2 x 173 x 2600 = 899600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/899600
Therefore, the GCF of Fractions 3175/346,9300/5200 is 25/899600
Least Common Multiple of 346,5200 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 346,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,5200) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,5200) x common factors =2 x 1 = 2
LCM(346,5200) = ( 346 × 5200 ) / 2
LCM(346,5200) = 1799200 / 2
LCM(346,5200) = 899600
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FAQs on GCF of Fractions of 3175/346, 9300/5200
1. What is the HCF of 3175,9300?
The HCF of 3175,9300 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 3175/346, 9300/5200?
Answer: GCF of Numerators as per given numbers 3175/346, 9300/5200 is
GCF of Numerators i.e. for 3175,9300 is 25
LCM of denominators i.e. for 346,5200 is 899600.
Thus, GCF of Fractions is 25/899600.Finally, GCF of Fractions for 3175/346, 9300/5200 is 25/899600.