GCF of 8700/355, 1475/1722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8700/355, 1475/1722 i.e 25/611310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8700/355, 1475/1722.
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 8700/355,1475/1722?
Given fractions are 8700/355,1475/1722
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 8700/355,1475/1722, numerators are 8700,1475
Denominators are 355,1722
The GCF of 8700,1475 is 25 .
LCM of 355,1722 is 611310.
The greatest common factor of 8700/355,1475/1722 = [GCF of 8700,1475]/[LCM of 355,1722]= 25/611310
Therefore, the GCF of 8700/355,1475/1722 is 25/611310.
To find the highest common factor of 8700,1475, we have to find the factors of both numbers and list the highest common factor.
The factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700
The factors of 1475 are 1, 5, 25, 59, 295, 1475
The HCF of 8700,1475 is 25.
Lets's calculate GCF of 8700,1475
| 5 | 8700, 1475 |
| 5 | 1740, 295 |
| 348, 59 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8700,1475 By Matching Biggest Common Factor Method
Now, list down the factors of 8700
:1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700
Now, list down the factors of 1475
:1,5,25,59,295,1475
Greatest Common Factor
We found the factors 8700,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 8700,1475 is 25.
Lets's calculate LCM of 355,1722
Given numbers has no common factors except 1. So, there LCM is their product i.e 611310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/611310
Therefore, the GCF of Fractions 8700/355,1475/1722 is 25/611310
Least Common Multiple of 355,1722 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 355,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,1722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,1722) x common factors =1 x 1 = 1
LCM(355,1722) = ( 355 × 1722 ) / 1
LCM(355,1722) = 611310 / 1
LCM(355,1722) = 611310
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FAQs on GCF of Fractions of 8700/355, 1475/1722
1. What is the HCF of 8700,1475?
The HCF of 8700,1475 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 8700/355, 1475/1722?
Answer: GCF of Numerators as per given numbers 8700/355, 1475/1722 is
GCF of Numerators i.e. for 8700,1475 is 25
LCM of denominators i.e. for 355,1722 is 611310.
Thus, GCF of Fractions is 25/611310.Finally, GCF of Fractions for 8700/355, 1475/1722 is 25/611310.