GCF of 9705/732, 4070/8975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9705/732, 4070/8975 i.e 5/6569700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9705/732, 4070/8975.
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 9705/732,4070/8975?
Given fractions are 9705/732,4070/8975
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 9705/732,4070/8975, numerators are 9705,4070
Denominators are 732,8975
The GCF of 9705,4070 is 5 .
LCM of 732,8975 is 6569700.
The greatest common factor of 9705/732,4070/8975 = [GCF of 9705,4070]/[LCM of 732,8975]= 5/6569700
Therefore, the GCF of 9705/732,4070/8975 is 5/6569700.
To find the highest common factor of 9705,4070, we have to find the factors of both numbers and list the highest common factor.
The factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705
The factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070
The HCF of 9705,4070 is 5.
Lets's calculate GCF of 9705,4070
| 5 | 9705, 4070 |
| 1941, 814 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9705,4070 By Matching Biggest Common Factor Method
Now, list down the factors of 9705
:1,3,5,15,647,1941,3235,9705
Now, list down the factors of 4070
:1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Greatest Common Factor
We found the factors 9705,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,4070 is 5.
Lets's calculate LCM of 732,8975
Given numbers has no common factors except 1. So, there LCM is their product i.e 6569700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6569700
Therefore, the GCF of Fractions 9705/732,4070/8975 is 5/6569700
Least Common Multiple of 732,8975 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 732,8975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,8975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,8975) x common factors =1 x 1 = 1
LCM(732,8975) = ( 732 × 8975 ) / 1
LCM(732,8975) = 6569700 / 1
LCM(732,8975) = 6569700
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FAQs on GCF of Fractions of 9705/732, 4070/8975
1. What is the HCF of 9705,4070?
The HCF of 9705,4070 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 9705/732, 4070/8975?
Answer: GCF of Numerators as per given numbers 9705/732, 4070/8975 is
GCF of Numerators i.e. for 9705,4070 is 5
LCM of denominators i.e. for 732,8975 is 6569700.
Thus, GCF of Fractions is 5/6569700.Finally, GCF of Fractions for 9705/732, 4070/8975 is 5/6569700.