How to Find GCF of 89/21, 435/97, 505/509?

GCF of 89/21, 435/97, 505/509

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 89/21, 435/97, 505/509 i.e 1/1036833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/21, 435/97, 505/509.

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 89/21,435/97,505/509?

Given fractions are 89/21,435/97,505/509

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 89/21,435/97,505/509, numerators are 89,435,505

Denominators are 21,97,509

The GCF of 89,435,505 is 1 .

LCM of 21,97,509 is 1036833.

The greatest common factor of 89/21,435/97,505/509 = [GCF of 89,435,505]/[LCM of 21,97,509]= 1/1036833

Therefore, the GCF of 89/21,435/97,505/509 is 1/1036833.

Greatest Common Factor of 89,435,505

To find the highest common factor of 89,435,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 89 are 1, 89

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435

The factors of 505 are 1, 5, 101, 505

The HCF of 89,435,505 is 1.

Lets's calculate GCF of 89,435,505

Greatest Common Factor (GCF) of 89,435,505 By Common Division

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

Greatest Common Factor of 89,435,505 By Matching Biggest Common Factor Method

Now, list down the factors of 89

1,89

Now, list down the factors of 435

1,3,5,15,29,87,145,435

Now, list down the factors of 505

1,5,101,505

Greatest Common Factor

We found the factors 89,435,505 . The biggest common factor number is the GCF number.
So the greatest common factor 89,435,505 is 1.

Lets's calculate LCM of 21,97,509

Lowest Common Multiple of 21,97,509 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1036833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036833

Therefore, the GCF of Fractions 89/21,435/97,505/509 is 1/1036833

Least Common Multiple of 21,97,509 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 21,97,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,97,509) = 1

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

GCF(21,97,509) x common factors =1 x 1 = 1

LCM(21,97,509) = ( 21 × 97 × 509 ) / 1

LCM(21,97,509) = 1036833 / 1

LCM(21,97,509) = 1036833

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FAQs on GCF of Fractions of 89/21, 435/97, 505/509

1. What is the HCF of 89,435,505?

The HCF of 89,435,505 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 89/21, 435/97, 505/509?

Answer: GCF of Numerators as per given numbers 89/21, 435/97, 505/509 is

GCF of Numerators i.e. for 89,435,505 is 1

LCM of denominators i.e. for 21,97,509 is 1036833.

Thus, GCF of Fractions is 1/1036833.Finally, GCF of Fractions for 89/21, 435/97, 505/509 is 1/1036833.