GCF of 4407/103, 1401/6263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4407/103, 1401/6263 i.e 3/645089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4407/103, 1401/6263.
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 4407/103,1401/6263?
Given fractions are 4407/103,1401/6263
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 4407/103,1401/6263, numerators are 4407,1401
Denominators are 103,6263
The GCF of 4407,1401 is 3 .
LCM of 103,6263 is 645089.
The greatest common factor of 4407/103,1401/6263 = [GCF of 4407,1401]/[LCM of 103,6263]= 3/645089
Therefore, the GCF of 4407/103,1401/6263 is 3/645089.
To find the highest common factor of 4407,1401, we have to find the factors of both numbers and list the highest common factor.
The factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407
The factors of 1401 are 1, 3, 467, 1401
The HCF of 4407,1401 is 3.
Lets's calculate GCF of 4407,1401
| 3 | 4407, 1401 |
| 1469, 467 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4407,1401 By Matching Biggest Common Factor Method
Now, list down the factors of 4407
:1,3,13,39,113,339,1469,4407
Now, list down the factors of 1401
:1,3,467,1401
Greatest Common Factor
We found the factors 4407,1401 . The biggest common factor number is the GCF number.
So the greatest common factor 4407,1401 is 3.
Lets's calculate LCM of 103,6263
Given numbers has no common factors except 1. So, there LCM is their product i.e 645089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/645089
Therefore, the GCF of Fractions 4407/103,1401/6263 is 3/645089
Least Common Multiple of 103,6263 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 103,6263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,6263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,6263) x common factors =1 x 1 = 1
LCM(103,6263) = ( 103 × 6263 ) / 1
LCM(103,6263) = 645089 / 1
LCM(103,6263) = 645089
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FAQs on GCF of Fractions of 4407/103, 1401/6263
1. What is the HCF of 4407,1401?
The HCF of 4407,1401 is 3
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 4407/103, 1401/6263?
Answer: GCF of Numerators as per given numbers 4407/103, 1401/6263 is
GCF of Numerators i.e. for 4407,1401 is 3
LCM of denominators i.e. for 103,6263 is 645089.
Thus, GCF of Fractions is 3/645089.Finally, GCF of Fractions for 4407/103, 1401/6263 is 3/645089.