GCF of 5468/385, 4139/1445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5468/385, 4139/1445 i.e 1/111265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5468/385, 4139/1445.
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 5468/385,4139/1445?
Given fractions are 5468/385,4139/1445
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 5468/385,4139/1445, numerators are 5468,4139
Denominators are 385,1445
The GCF of 5468,4139 is 1 .
LCM of 385,1445 is 111265.
The greatest common factor of 5468/385,4139/1445 = [GCF of 5468,4139]/[LCM of 385,1445]= 1/111265
Therefore, the GCF of 5468/385,4139/1445 is 1/111265.
To find the highest common factor of 5468,4139, we have to find the factors of both numbers and list the highest common factor.
The factors of 5468 are 1, 2, 4, 1367, 2734, 5468
The factors of 4139 are 1, 4139
The HCF of 5468,4139 is 1.
Lets's calculate GCF of 5468,4139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5468,4139 By Matching Biggest Common Factor Method
Now, list down the factors of 5468
:1,2,4,1367,2734,5468
Now, list down the factors of 4139
:1,4139
Greatest Common Factor
We found the factors 5468,4139 . The biggest common factor number is the GCF number.
So the greatest common factor 5468,4139 is 1.
Lets's calculate LCM of 385,1445
| 5 | 385, 1445 |
| 77, 289 |
∴ So the LCM of the given numbers is 5 x 77 x 289 = 111265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111265
Therefore, the GCF of Fractions 5468/385,4139/1445 is 1/111265
Least Common Multiple of 385,1445 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 385,1445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,1445) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(385,1445) x common factors =5 x 1 = 5
LCM(385,1445) = ( 385 × 1445 ) / 5
LCM(385,1445) = 556325 / 5
LCM(385,1445) = 111265
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FAQs on GCF of Fractions of 5468/385, 4139/1445
1. What is the HCF of 5468,4139?
The HCF of 5468,4139 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 5468/385, 4139/1445?
Answer: GCF of Numerators as per given numbers 5468/385, 4139/1445 is
GCF of Numerators i.e. for 5468,4139 is 1
LCM of denominators i.e. for 385,1445 is 111265.
Thus, GCF of Fractions is 1/111265.Finally, GCF of Fractions for 5468/385, 4139/1445 is 1/111265.