How to Find GCF of 4359/526, 6413/7089?

GCF of 4359/526, 6413/7089

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 4359/526, 6413/7089 i.e 1/3728814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4359/526, 6413/7089.

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 4359/526,6413/7089?

Given fractions are 4359/526,6413/7089

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 4359/526,6413/7089, numerators are 4359,6413

Denominators are 526,7089

The GCF of 4359,6413 is 1 .

LCM of 526,7089 is 3728814.

The greatest common factor of 4359/526,6413/7089 = [GCF of 4359,6413]/[LCM of 526,7089]= 1/3728814

Therefore, the GCF of 4359/526,6413/7089 is 1/3728814.

Greatest Common Factor of 4359,6413

To find the highest common factor of 4359,6413, we have to find the factors of both numbers and list the highest common factor.

The factors of 4359 are 1, 3, 1453, 4359

The factors of 6413 are 1, 11, 53, 121, 583, 6413

The HCF of 4359,6413 is 1.

Lets's calculate GCF of 4359,6413

Greatest Common Factor (GCF) of 4359,6413 By Common Division

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

Greatest Common Factor of 4359,6413 By Matching Biggest Common Factor Method

Now, list down the factors of 4359

1,3,1453,4359

Now, list down the factors of 6413

1,11,53,121,583,6413

Greatest Common Factor

We found the factors 4359,6413 . The biggest common factor number is the GCF number.
So the greatest common factor 4359,6413 is 1.

Lets's calculate LCM of 526,7089

Lowest Common Multiple of 526,7089 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3728814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3728814

Therefore, the GCF of Fractions 4359/526,6413/7089 is 1/3728814

Least Common Multiple of 526,7089 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 526,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,7089) = 1

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

GCF(526,7089) x common factors =1 x 1 = 1

LCM(526,7089) = ( 526 × 7089 ) / 1

LCM(526,7089) = 3728814 / 1

LCM(526,7089) = 3728814

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FAQs on GCF of Fractions of 4359/526, 6413/7089

1. What is the HCF of 4359,6413?

The HCF of 4359,6413 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 4359/526, 6413/7089?

Answer: GCF of Numerators as per given numbers 4359/526, 6413/7089 is

GCF of Numerators i.e. for 4359,6413 is 1

LCM of denominators i.e. for 526,7089 is 3728814.

Thus, GCF of Fractions is 1/3728814.Finally, GCF of Fractions for 4359/526, 6413/7089 is 1/3728814.