GCF of 7905/230, 1869/8750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7905/230, 1869/8750 i.e 3/201250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7905/230, 1869/8750.
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 7905/230,1869/8750?
Given fractions are 7905/230,1869/8750
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 7905/230,1869/8750, numerators are 7905,1869
Denominators are 230,8750
The GCF of 7905,1869 is 3 .
LCM of 230,8750 is 201250.
The greatest common factor of 7905/230,1869/8750 = [GCF of 7905,1869]/[LCM of 230,8750]= 3/201250
Therefore, the GCF of 7905/230,1869/8750 is 3/201250.
To find the highest common factor of 7905,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 7905,1869 is 3.
Lets's calculate GCF of 7905,1869
| 3 | 7905, 1869 |
| 2635, 623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7905,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 7905,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 7905,1869 is 3.
Lets's calculate LCM of 230,8750
| 2 | 230, 8750 |
| 5 | 115, 4375 |
| 23, 875 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 875 = 201250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/201250
Therefore, the GCF of Fractions 7905/230,1869/8750 is 3/201250
Least Common Multiple of 230,8750 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 230,8750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,8750) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(230,8750) x common factors =10 x 1 = 10
LCM(230,8750) = ( 230 × 8750 ) / 10
LCM(230,8750) = 2012500 / 10
LCM(230,8750) = 201250
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FAQs on GCF of Fractions of 7905/230, 1869/8750
1. What is the HCF of 7905,1869?
The HCF of 7905,1869 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 7905/230, 1869/8750?
Answer: GCF of Numerators as per given numbers 7905/230, 1869/8750 is
GCF of Numerators i.e. for 7905,1869 is 3
LCM of denominators i.e. for 230,8750 is 201250.
Thus, GCF of Fractions is 3/201250.Finally, GCF of Fractions for 7905/230, 1869/8750 is 3/201250.