How to Find GCF of 1738/760, 8543/1619?

GCF of 1738/760, 8543/1619

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 1738/760, 8543/1619 i.e 1/1230440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1738/760, 8543/1619.

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 1738/760,8543/1619?

Given fractions are 1738/760,8543/1619

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 1738/760,8543/1619, numerators are 1738,8543

Denominators are 760,1619

The GCF of 1738,8543 is 1 .

LCM of 760,1619 is 1230440.

The greatest common factor of 1738/760,8543/1619 = [GCF of 1738,8543]/[LCM of 760,1619]= 1/1230440

Therefore, the GCF of 1738/760,8543/1619 is 1/1230440.

Greatest Common Factor of 1738,8543

To find the highest common factor of 1738,8543, we have to find the factors of both numbers and list the highest common factor.

The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738

The factors of 8543 are 1, 8543

The HCF of 1738,8543 is 1.

Lets's calculate GCF of 1738,8543

Greatest Common Factor (GCF) of 1738,8543 By Common Division

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

Greatest Common Factor of 1738,8543 By Matching Biggest Common Factor Method

Now, list down the factors of 1738

1,2,11,22,79,158,869,1738

Now, list down the factors of 8543

1,8543

Greatest Common Factor

We found the factors 1738,8543 . The biggest common factor number is the GCF number.
So the greatest common factor 1738,8543 is 1.

Lets's calculate LCM of 760,1619

Lowest Common Multiple of 760,1619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1230440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1230440

Therefore, the GCF of Fractions 1738/760,8543/1619 is 1/1230440

Least Common Multiple of 760,1619 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 760,1619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,1619) = 1

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

GCF(760,1619) x common factors =1 x 1 = 1

LCM(760,1619) = ( 760 × 1619 ) / 1

LCM(760,1619) = 1230440 / 1

LCM(760,1619) = 1230440

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FAQs on GCF of Fractions of 1738/760, 8543/1619

1. What is the HCF of 1738,8543?

The HCF of 1738,8543 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 1738/760, 8543/1619?

Answer: GCF of Numerators as per given numbers 1738/760, 8543/1619 is

GCF of Numerators i.e. for 1738,8543 is 1

LCM of denominators i.e. for 760,1619 is 1230440.

Thus, GCF of Fractions is 1/1230440.Finally, GCF of Fractions for 1738/760, 8543/1619 is 1/1230440.