GCF of 4109/865, 4407/6140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4109/865, 4407/6140 i.e 1/1062220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4109/865, 4407/6140.
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 4109/865,4407/6140?
Given fractions are 4109/865,4407/6140
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 4109/865,4407/6140, numerators are 4109,4407
Denominators are 865,6140
The GCF of 4109,4407 is 1 .
LCM of 865,6140 is 1062220.
The greatest common factor of 4109/865,4407/6140 = [GCF of 4109,4407]/[LCM of 865,6140]= 1/1062220
Therefore, the GCF of 4109/865,4407/6140 is 1/1062220.
To find the highest common factor of 4109,4407, we have to find the factors of both numbers and list the highest common factor.
The factors of 4109 are 1, 7, 587, 4109
The factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407
The HCF of 4109,4407 is 1.
Lets's calculate GCF of 4109,4407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4109,4407 By Matching Biggest Common Factor Method
Now, list down the factors of 4109
:1,7,587,4109
Now, list down the factors of 4407
:1,3,13,39,113,339,1469,4407
Greatest Common Factor
We found the factors 4109,4407 . The biggest common factor number is the GCF number.
So the greatest common factor 4109,4407 is 1.
Lets's calculate LCM of 865,6140
| 5 | 865, 6140 |
| 173, 1228 |
∴ So the LCM of the given numbers is 5 x 173 x 1228 = 1062220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1062220
Therefore, the GCF of Fractions 4109/865,4407/6140 is 1/1062220
Least Common Multiple of 865,6140 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 865,6140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,6140) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,6140) x common factors =5 x 1 = 5
LCM(865,6140) = ( 865 × 6140 ) / 5
LCM(865,6140) = 5311100 / 5
LCM(865,6140) = 1062220
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FAQs on GCF of Fractions of 4109/865, 4407/6140
1. What is the HCF of 4109,4407?
The HCF of 4109,4407 is 1
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 4109/865, 4407/6140?
Answer: GCF of Numerators as per given numbers 4109/865, 4407/6140 is
GCF of Numerators i.e. for 4109,4407 is 1
LCM of denominators i.e. for 865,6140 is 1062220.
Thus, GCF of Fractions is 1/1062220.Finally, GCF of Fractions for 4109/865, 4407/6140 is 1/1062220.