How to Find GCF of 2151/705, 1559/6523?

GCF of 2151/705, 1559/6523

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2151/705, 1559/6523 i.e 1/4598715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2151/705, 1559/6523.

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 2151/705,1559/6523?

Given fractions are 2151/705,1559/6523

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 2151/705,1559/6523, numerators are 2151,1559

Denominators are 705,6523

The GCF of 2151,1559 is 1 .

LCM of 705,6523 is 4598715.

The greatest common factor of 2151/705,1559/6523 = [GCF of 2151,1559]/[LCM of 705,6523]= 1/4598715

Therefore, the GCF of 2151/705,1559/6523 is 1/4598715.

Greatest Common Factor of 2151,1559

To find the highest common factor of 2151,1559, we have to find the factors of both numbers and list the highest common factor.

The factors of 2151 are 1, 3, 9, 239, 717, 2151

The factors of 1559 are 1, 1559

The HCF of 2151,1559 is 1.

Lets's calculate GCF of 2151,1559

Greatest Common Factor (GCF) of 2151,1559 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2151,1559 By Matching Biggest Common Factor Method

Now, list down the factors of 2151

1,3,9,239,717,2151

Now, list down the factors of 1559

1,1559

Greatest Common Factor

We found the factors 2151,1559 . The biggest common factor number is the GCF number.
So the greatest common factor 2151,1559 is 1.

Lets's calculate LCM of 705,6523

Lowest Common Multiple of 705,6523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4598715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4598715

Therefore, the GCF of Fractions 2151/705,1559/6523 is 1/4598715

Least Common Multiple of 705,6523 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 705,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,6523) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(705,6523) x common factors =1 x 1 = 1

LCM(705,6523) = ( 705 × 6523 ) / 1

LCM(705,6523) = 4598715 / 1

LCM(705,6523) = 4598715

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FAQs on GCF of Fractions of 2151/705, 1559/6523

1. What is the HCF of 2151,1559?

The HCF of 2151,1559 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 2151/705, 1559/6523?

Answer: GCF of Numerators as per given numbers 2151/705, 1559/6523 is

GCF of Numerators i.e. for 2151,1559 is 1

LCM of denominators i.e. for 705,6523 is 4598715.

Thus, GCF of Fractions is 1/4598715.Finally, GCF of Fractions for 2151/705, 1559/6523 is 1/4598715.