How to Find GCF of 8589/922, 5756/1765?

GCF of 8589/922, 5756/1765

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 8589/922, 5756/1765 i.e 1/1627330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8589/922, 5756/1765.

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 8589/922,5756/1765?

Given fractions are 8589/922,5756/1765

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 8589/922,5756/1765, numerators are 8589,5756

Denominators are 922,1765

The GCF of 8589,5756 is 1 .

LCM of 922,1765 is 1627330.

The greatest common factor of 8589/922,5756/1765 = [GCF of 8589,5756]/[LCM of 922,1765]= 1/1627330

Therefore, the GCF of 8589/922,5756/1765 is 1/1627330.

Greatest Common Factor of 8589,5756

To find the highest common factor of 8589,5756, we have to find the factors of both numbers and list the highest common factor.

The factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589

The factors of 5756 are 1, 2, 4, 1439, 2878, 5756

The HCF of 8589,5756 is 1.

Lets's calculate GCF of 8589,5756

Greatest Common Factor (GCF) of 8589,5756 By Common Division

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

Greatest Common Factor of 8589,5756 By Matching Biggest Common Factor Method

Now, list down the factors of 8589

1,3,7,21,409,1227,2863,8589

Now, list down the factors of 5756

1,2,4,1439,2878,5756

Greatest Common Factor

We found the factors 8589,5756 . The biggest common factor number is the GCF number.
So the greatest common factor 8589,5756 is 1.

Lets's calculate LCM of 922,1765

Lowest Common Multiple of 922,1765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1627330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1627330

Therefore, the GCF of Fractions 8589/922,5756/1765 is 1/1627330

Least Common Multiple of 922,1765 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 922,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,1765) = 1

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

GCF(922,1765) x common factors =1 x 1 = 1

LCM(922,1765) = ( 922 × 1765 ) / 1

LCM(922,1765) = 1627330 / 1

LCM(922,1765) = 1627330

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FAQs on GCF of Fractions of 8589/922, 5756/1765

1. What is the HCF of 8589,5756?

The HCF of 8589,5756 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 8589/922, 5756/1765?

Answer: GCF of Numerators as per given numbers 8589/922, 5756/1765 is

GCF of Numerators i.e. for 8589,5756 is 1

LCM of denominators i.e. for 922,1765 is 1627330.

Thus, GCF of Fractions is 1/1627330.Finally, GCF of Fractions for 8589/922, 5756/1765 is 1/1627330.