How to Find GCF of 9578/789, 3519/4406?

GCF of 9578/789, 3519/4406

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 9578/789, 3519/4406 i.e 1/3476334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9578/789, 3519/4406.

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 9578/789,3519/4406?

Given fractions are 9578/789,3519/4406

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 9578/789,3519/4406, numerators are 9578,3519

Denominators are 789,4406

The GCF of 9578,3519 is 1 .

LCM of 789,4406 is 3476334.

The greatest common factor of 9578/789,3519/4406 = [GCF of 9578,3519]/[LCM of 789,4406]= 1/3476334

Therefore, the GCF of 9578/789,3519/4406 is 1/3476334.

Greatest Common Factor of 9578,3519

To find the highest common factor of 9578,3519, we have to find the factors of both numbers and list the highest common factor.

The factors of 9578 are 1, 2, 4789, 9578

The factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519

The HCF of 9578,3519 is 1.

Lets's calculate GCF of 9578,3519

Greatest Common Factor (GCF) of 9578,3519 By Common Division

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

Greatest Common Factor of 9578,3519 By Matching Biggest Common Factor Method

Now, list down the factors of 9578

1,2,4789,9578

Now, list down the factors of 3519

1,3,9,17,23,51,69,153,207,391,1173,3519

Greatest Common Factor

We found the factors 9578,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 9578,3519 is 1.

Lets's calculate LCM of 789,4406

Lowest Common Multiple of 789,4406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3476334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3476334

Therefore, the GCF of Fractions 9578/789,3519/4406 is 1/3476334

Least Common Multiple of 789,4406 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 789,4406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,4406) = 1

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

GCF(789,4406) x common factors =1 x 1 = 1

LCM(789,4406) = ( 789 × 4406 ) / 1

LCM(789,4406) = 3476334 / 1

LCM(789,4406) = 3476334

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FAQs on GCF of Fractions of 9578/789, 3519/4406

1. What is the HCF of 9578,3519?

The HCF of 9578,3519 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 9578/789, 3519/4406?

Answer: GCF of Numerators as per given numbers 9578/789, 3519/4406 is

GCF of Numerators i.e. for 9578,3519 is 1

LCM of denominators i.e. for 789,4406 is 3476334.

Thus, GCF of Fractions is 1/3476334.Finally, GCF of Fractions for 9578/789, 3519/4406 is 1/3476334.