GCF of 118/816, 106/551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 118/816, 106/551 i.e 2/449616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/816, 106/551.
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 118/816,106/551?
Given fractions are 118/816,106/551
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 118/816,106/551, numerators are 118,106
Denominators are 816,551
The GCF of 118,106 is 2 .
LCM of 816,551 is 449616.
The greatest common factor of 118/816,106/551 = [GCF of 118,106]/[LCM of 816,551]= 2/449616
Therefore, the GCF of 118/816,106/551 is 2/449616.
To find the highest common factor of 118,106, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 106 are 1, 2, 53, 106
The HCF of 118,106 is 2.
Lets's calculate GCF of 118,106
| 2 | 118, 106 |
| 59, 53 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 118,106 By Matching Biggest Common Factor Method
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 106
:1,2,53,106
Greatest Common Factor
We found the factors 118,106 . The biggest common factor number is the GCF number.
So the greatest common factor 118,106 is 2.
Lets's calculate LCM of 816,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 449616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449616
Therefore, the GCF of Fractions 118/816,106/551 is 2/449616
Least Common Multiple of 816,551 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 816,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,551) x common factors =1 x 1 = 1
LCM(816,551) = ( 816 × 551 ) / 1
LCM(816,551) = 449616 / 1
LCM(816,551) = 449616
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FAQs on GCF of Fractions of 118/816, 106/551
1. What is the HCF of 118,106?
The HCF of 118,106 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 118/816, 106/551?
Answer: GCF of Numerators as per given numbers 118/816, 106/551 is
GCF of Numerators i.e. for 118,106 is 2
LCM of denominators i.e. for 816,551 is 449616.
Thus, GCF of Fractions is 2/449616.Finally, GCF of Fractions for 118/816, 106/551 is 2/449616.