How to Find GCF of 7809/149, 2390/5473?

GCF of 7809/149, 2390/5473

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 7809/149, 2390/5473 i.e 1/815477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7809/149, 2390/5473.

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 7809/149,2390/5473?

Given fractions are 7809/149,2390/5473

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 7809/149,2390/5473, numerators are 7809,2390

Denominators are 149,5473

The GCF of 7809,2390 is 1 .

LCM of 149,5473 is 815477.

The greatest common factor of 7809/149,2390/5473 = [GCF of 7809,2390]/[LCM of 149,5473]= 1/815477

Therefore, the GCF of 7809/149,2390/5473 is 1/815477.

Greatest Common Factor of 7809,2390

To find the highest common factor of 7809,2390, we have to find the factors of both numbers and list the highest common factor.

The factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809

The factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390

The HCF of 7809,2390 is 1.

Lets's calculate GCF of 7809,2390

Greatest Common Factor (GCF) of 7809,2390 By Common Division

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

Greatest Common Factor of 7809,2390 By Matching Biggest Common Factor Method

Now, list down the factors of 7809

1,3,19,57,137,411,2603,7809

Now, list down the factors of 2390

1,2,5,10,239,478,1195,2390

Greatest Common Factor

We found the factors 7809,2390 . The biggest common factor number is the GCF number.
So the greatest common factor 7809,2390 is 1.

Lets's calculate LCM of 149,5473

Lowest Common Multiple of 149,5473 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 815477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/815477

Therefore, the GCF of Fractions 7809/149,2390/5473 is 1/815477

Least Common Multiple of 149,5473 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 149,5473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,5473) = 1

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

GCF(149,5473) x common factors =1 x 1 = 1

LCM(149,5473) = ( 149 × 5473 ) / 1

LCM(149,5473) = 815477 / 1

LCM(149,5473) = 815477

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FAQs on GCF of Fractions of 7809/149, 2390/5473

1. What is the HCF of 7809,2390?

The HCF of 7809,2390 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 7809/149, 2390/5473?

Answer: GCF of Numerators as per given numbers 7809/149, 2390/5473 is

GCF of Numerators i.e. for 7809,2390 is 1

LCM of denominators i.e. for 149,5473 is 815477.

Thus, GCF of Fractions is 1/815477.Finally, GCF of Fractions for 7809/149, 2390/5473 is 1/815477.