GCF of 108/397, 822/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 108/397, 822/907 i.e 6/360079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/397, 822/907.
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 108/397,822/907?
Given fractions are 108/397,822/907
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 108/397,822/907, numerators are 108,822
Denominators are 397,907
The GCF of 108,822 is 6 .
LCM of 397,907 is 360079.
The greatest common factor of 108/397,822/907 = [GCF of 108,822]/[LCM of 397,907]= 6/360079
Therefore, the GCF of 108/397,822/907 is 6/360079.
To find the highest common factor of 108,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 108,822 is 6.
Lets's calculate GCF of 108,822
| 2 | 108, 822 |
| 3 | 54, 411 |
| 18, 137 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 108,822 By Matching Biggest Common Factor Method
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 108,822 . The biggest common factor number is the GCF number.
So the greatest common factor 108,822 is 6.
Lets's calculate LCM of 397,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 360079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/360079
Therefore, the GCF of Fractions 108/397,822/907 is 6/360079
Least Common Multiple of 397,907 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 397,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,907) x common factors =1 x 1 = 1
LCM(397,907) = ( 397 × 907 ) / 1
LCM(397,907) = 360079 / 1
LCM(397,907) = 360079
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FAQs on GCF of Fractions of 108/397, 822/907
1. What is the HCF of 108,822?
The HCF of 108,822 is 6
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 108/397, 822/907?
Answer: GCF of Numerators as per given numbers 108/397, 822/907 is
GCF of Numerators i.e. for 108,822 is 6
LCM of denominators i.e. for 397,907 is 360079.
Thus, GCF of Fractions is 6/360079.Finally, GCF of Fractions for 108/397, 822/907 is 6/360079.