GCF of 1081/523, 6506/4414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1081/523, 6506/4414 i.e 1/2308522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1081/523, 6506/4414.
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 1081/523,6506/4414?
Given fractions are 1081/523,6506/4414
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 1081/523,6506/4414, numerators are 1081,6506
Denominators are 523,4414
The GCF of 1081,6506 is 1 .
LCM of 523,4414 is 2308522.
The greatest common factor of 1081/523,6506/4414 = [GCF of 1081,6506]/[LCM of 523,4414]= 1/2308522
Therefore, the GCF of 1081/523,6506/4414 is 1/2308522.
To find the highest common factor of 1081,6506, we have to find the factors of both numbers and list the highest common factor.
The factors of 1081 are 1, 23, 47, 1081
The factors of 6506 are 1, 2, 3253, 6506
The HCF of 1081,6506 is 1.
Lets's calculate GCF of 1081,6506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1081,6506 By Matching Biggest Common Factor Method
Now, list down the factors of 1081
:1,23,47,1081
Now, list down the factors of 6506
:1,2,3253,6506
Greatest Common Factor
We found the factors 1081,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 1081,6506 is 1.
Lets's calculate LCM of 523,4414
Given numbers has no common factors except 1. So, there LCM is their product i.e 2308522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2308522
Therefore, the GCF of Fractions 1081/523,6506/4414 is 1/2308522
Least Common Multiple of 523,4414 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 523,4414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,4414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,4414) x common factors =1 x 1 = 1
LCM(523,4414) = ( 523 × 4414 ) / 1
LCM(523,4414) = 2308522 / 1
LCM(523,4414) = 2308522
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FAQs on GCF of Fractions of 1081/523, 6506/4414
1. What is the HCF of 1081,6506?
The HCF of 1081,6506 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 1081/523, 6506/4414?
Answer: GCF of Numerators as per given numbers 1081/523, 6506/4414 is
GCF of Numerators i.e. for 1081,6506 is 1
LCM of denominators i.e. for 523,4414 is 2308522.
Thus, GCF of Fractions is 1/2308522.Finally, GCF of Fractions for 1081/523, 6506/4414 is 1/2308522.