GCF of 6887/539, 5540/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6887/539, 5540/353 i.e 1/190267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6887/539, 5540/353.
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 6887/539,5540/353?
Given fractions are 6887/539,5540/353
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 6887/539,5540/353, numerators are 6887,5540
Denominators are 539,353
The GCF of 6887,5540 is 1 .
LCM of 539,353 is 190267.
The greatest common factor of 6887/539,5540/353 = [GCF of 6887,5540]/[LCM of 539,353]= 1/190267
Therefore, the GCF of 6887/539,5540/353 is 1/190267.
To find the highest common factor of 6887,5540, we have to find the factors of both numbers and list the highest common factor.
The factors of 6887 are 1, 71, 97, 6887
The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540
The HCF of 6887,5540 is 1.
Lets's calculate GCF of 6887,5540
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6887,5540 By Matching Biggest Common Factor Method
Now, list down the factors of 6887
:1,71,97,6887
Now, list down the factors of 5540
:1,2,4,5,10,20,277,554,1108,1385,2770,5540
Greatest Common Factor
We found the factors 6887,5540 . The biggest common factor number is the GCF number.
So the greatest common factor 6887,5540 is 1.
Lets's calculate LCM of 539,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 190267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190267
Therefore, the GCF of Fractions 6887/539,5540/353 is 1/190267
Least Common Multiple of 539,353 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 539,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,353) x common factors =1 x 1 = 1
LCM(539,353) = ( 539 × 353 ) / 1
LCM(539,353) = 190267 / 1
LCM(539,353) = 190267
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FAQs on GCF of Fractions of 6887/539, 5540/353
1. What is the HCF of 6887,5540?
The HCF of 6887,5540 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 6887/539, 5540/353?
Answer: GCF of Numerators as per given numbers 6887/539, 5540/353 is
GCF of Numerators i.e. for 6887,5540 is 1
LCM of denominators i.e. for 539,353 is 190267.
Thus, GCF of Fractions is 1/190267.Finally, GCF of Fractions for 6887/539, 5540/353 is 1/190267.