GCF of 2071/540, 1570/6153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2071/540, 1570/6153 i.e 1/1107540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2071/540, 1570/6153.
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 2071/540,1570/6153?
Given fractions are 2071/540,1570/6153
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 2071/540,1570/6153, numerators are 2071,1570
Denominators are 540,6153
The GCF of 2071,1570 is 1 .
LCM of 540,6153 is 1107540.
The greatest common factor of 2071/540,1570/6153 = [GCF of 2071,1570]/[LCM of 540,6153]= 1/1107540
Therefore, the GCF of 2071/540,1570/6153 is 1/1107540.
To find the highest common factor of 2071,1570, we have to find the factors of both numbers and list the highest common factor.
The factors of 2071 are 1, 19, 109, 2071
The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570
The HCF of 2071,1570 is 1.
Lets's calculate GCF of 2071,1570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2071,1570 By Matching Biggest Common Factor Method
Now, list down the factors of 2071
:1,19,109,2071
Now, list down the factors of 1570
:1,2,5,10,157,314,785,1570
Greatest Common Factor
We found the factors 2071,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 2071,1570 is 1.
Lets's calculate LCM of 540,6153
| 3 | 540, 6153 |
| 180, 2051 |
∴ So the LCM of the given numbers is 3 x 180 x 2051 = 1107540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1107540
Therefore, the GCF of Fractions 2071/540,1570/6153 is 1/1107540
Least Common Multiple of 540,6153 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 540,6153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,6153) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(540,6153) x common factors =3 x 1 = 3
LCM(540,6153) = ( 540 × 6153 ) / 3
LCM(540,6153) = 3322620 / 3
LCM(540,6153) = 1107540
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FAQs on GCF of Fractions of 2071/540, 1570/6153
1. What is the HCF of 2071,1570?
The HCF of 2071,1570 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 2071/540, 1570/6153?
Answer: GCF of Numerators as per given numbers 2071/540, 1570/6153 is
GCF of Numerators i.e. for 2071,1570 is 1
LCM of denominators i.e. for 540,6153 is 1107540.
Thus, GCF of Fractions is 1/1107540.Finally, GCF of Fractions for 2071/540, 1570/6153 is 1/1107540.