GCF of 8690/332, 8366/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8690/332, 8366/735 i.e 2/244020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8690/332, 8366/735.
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 8690/332,8366/735?
Given fractions are 8690/332,8366/735
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 8690/332,8366/735, numerators are 8690,8366
Denominators are 332,735
The GCF of 8690,8366 is 2 .
LCM of 332,735 is 244020.
The greatest common factor of 8690/332,8366/735 = [GCF of 8690,8366]/[LCM of 332,735]= 2/244020
Therefore, the GCF of 8690/332,8366/735 is 2/244020.
To find the highest common factor of 8690,8366, we have to find the factors of both numbers and list the highest common factor.
The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
The factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366
The HCF of 8690,8366 is 2.
Lets's calculate GCF of 8690,8366
| 2 | 8690, 8366 |
| 4345, 4183 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8690,8366 By Matching Biggest Common Factor Method
Now, list down the factors of 8690
:1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690
Now, list down the factors of 8366
:1,2,47,89,94,178,4183,8366
Greatest Common Factor
We found the factors 8690,8366 . The biggest common factor number is the GCF number.
So the greatest common factor 8690,8366 is 2.
Lets's calculate LCM of 332,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 244020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244020
Therefore, the GCF of Fractions 8690/332,8366/735 is 2/244020
Least Common Multiple of 332,735 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 332,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,735) x common factors =1 x 1 = 1
LCM(332,735) = ( 332 × 735 ) / 1
LCM(332,735) = 244020 / 1
LCM(332,735) = 244020
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FAQs on GCF of Fractions of 8690/332, 8366/735
1. What is the HCF of 8690,8366?
The HCF of 8690,8366 is 2
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 8690/332, 8366/735?
Answer: GCF of Numerators as per given numbers 8690/332, 8366/735 is
GCF of Numerators i.e. for 8690,8366 is 2
LCM of denominators i.e. for 332,735 is 244020.
Thus, GCF of Fractions is 2/244020.Finally, GCF of Fractions for 8690/332, 8366/735 is 2/244020.