GCF of 1081/548, 1570/3587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1081/548, 1570/3587 i.e 1/1965676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1081/548, 1570/3587.
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 1081/548,1570/3587?
Given fractions are 1081/548,1570/3587
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 1081/548,1570/3587, numerators are 1081,1570
Denominators are 548,3587
The GCF of 1081,1570 is 1 .
LCM of 548,3587 is 1965676.
The greatest common factor of 1081/548,1570/3587 = [GCF of 1081,1570]/[LCM of 548,3587]= 1/1965676
Therefore, the GCF of 1081/548,1570/3587 is 1/1965676.
To find the highest common factor of 1081,1570, 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 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 1081,1570 is 1.
Lets's calculate GCF of 1081,1570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1081,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 1081
:1,23,47,1081
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 1081,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 1081,1570 is 1.
Lets's calculate LCM of 548,3587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1965676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1965676
Therefore, the GCF of Fractions 1081/548,1570/3587 is 1/1965676
Least Common Multiple of 548,3587 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 548,3587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,3587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,3587) x common factors =1 x 1 = 1
LCM(548,3587) = ( 548 × 3587 ) / 1
LCM(548,3587) = 1965676 / 1
LCM(548,3587) = 1965676
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1081/548, 1570/3587
1. What is the HCF of 1081,1570?
The HCF of 1081,1570 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 1081/548, 1570/3587?
Answer: GCF of Numerators as per given numbers 1081/548, 1570/3587 is
GCF of Numerators i.e. for 1081,1570 is 1
LCM of denominators i.e. for 548,3587 is 1965676.
Thus, GCF of Fractions is 1/1965676.Finally, GCF of Fractions for 1081/548, 1570/3587 is 1/1965676.