GCF of 4622/698, 4016/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4622/698, 4016/401 i.e 2/279898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4622/698, 4016/401.
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 4622/698,4016/401?
Given fractions are 4622/698,4016/401
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 4622/698,4016/401, numerators are 4622,4016
Denominators are 698,401
The GCF of 4622,4016 is 2 .
LCM of 698,401 is 279898.
The greatest common factor of 4622/698,4016/401 = [GCF of 4622,4016]/[LCM of 698,401]= 2/279898
Therefore, the GCF of 4622/698,4016/401 is 2/279898.
To find the highest common factor of 4622,4016, we have to find the factors of both numbers and list the highest common factor.
The factors of 4622 are 1, 2, 2311, 4622
The factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016
The HCF of 4622,4016 is 2.
Lets's calculate GCF of 4622,4016
| 2 | 4622, 4016 |
| 2311, 2008 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4622,4016 By Matching Biggest Common Factor Method
Now, list down the factors of 4622
:1,2,2311,4622
Now, list down the factors of 4016
:1,2,4,8,16,251,502,1004,2008,4016
Greatest Common Factor
We found the factors 4622,4016 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,4016 is 2.
Lets's calculate LCM of 698,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 279898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/279898
Therefore, the GCF of Fractions 4622/698,4016/401 is 2/279898
Least Common Multiple of 698,401 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 698,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,401) x common factors =1 x 1 = 1
LCM(698,401) = ( 698 × 401 ) / 1
LCM(698,401) = 279898 / 1
LCM(698,401) = 279898
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FAQs on GCF of Fractions of 4622/698, 4016/401
1. What is the HCF of 4622,4016?
The HCF of 4622,4016 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 4622/698, 4016/401?
Answer: GCF of Numerators as per given numbers 4622/698, 4016/401 is
GCF of Numerators i.e. for 4622,4016 is 2
LCM of denominators i.e. for 698,401 is 279898.
Thus, GCF of Fractions is 2/279898.Finally, GCF of Fractions for 4622/698, 4016/401 is 2/279898.