GCF of 1185/945, 8410/9715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1185/945, 8410/9715 i.e 5/1836135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1185/945, 8410/9715.
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 1185/945,8410/9715?
Given fractions are 1185/945,8410/9715
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 1185/945,8410/9715, numerators are 1185,8410
Denominators are 945,9715
The GCF of 1185,8410 is 5 .
LCM of 945,9715 is 1836135.
The greatest common factor of 1185/945,8410/9715 = [GCF of 1185,8410]/[LCM of 945,9715]= 5/1836135
Therefore, the GCF of 1185/945,8410/9715 is 5/1836135.
To find the highest common factor of 1185,8410, we have to find the factors of both numbers and list the highest common factor.
The factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185
The factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410
The HCF of 1185,8410 is 5.
Lets's calculate GCF of 1185,8410
| 5 | 1185, 8410 |
| 237, 1682 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1185,8410 By Matching Biggest Common Factor Method
Now, list down the factors of 1185
:1,3,5,15,79,237,395,1185
Now, list down the factors of 8410
:1,2,5,10,29,58,145,290,841,1682,4205,8410
Greatest Common Factor
We found the factors 1185,8410 . The biggest common factor number is the GCF number.
So the greatest common factor 1185,8410 is 5.
Lets's calculate LCM of 945,9715
| 5 | 945, 9715 |
| 189, 1943 |
∴ So the LCM of the given numbers is 5 x 189 x 1943 = 1836135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1836135
Therefore, the GCF of Fractions 1185/945,8410/9715 is 5/1836135
Least Common Multiple of 945,9715 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 945,9715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,9715) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(945,9715) x common factors =5 x 1 = 5
LCM(945,9715) = ( 945 × 9715 ) / 5
LCM(945,9715) = 9180675 / 5
LCM(945,9715) = 1836135
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FAQs on GCF of Fractions of 1185/945, 8410/9715
1. What is the HCF of 1185,8410?
The HCF of 1185,8410 is 5
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 1185/945, 8410/9715?
Answer: GCF of Numerators as per given numbers 1185/945, 8410/9715 is
GCF of Numerators i.e. for 1185,8410 is 5
LCM of denominators i.e. for 945,9715 is 1836135.
Thus, GCF of Fractions is 5/1836135.Finally, GCF of Fractions for 1185/945, 8410/9715 is 5/1836135.