How to Find GCF of 1814/789, 3733/9578?

GCF of 1814/789, 3733/9578

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 1814/789, 3733/9578 i.e 1/7557042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1814/789, 3733/9578.

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 1814/789,3733/9578?

Given fractions are 1814/789,3733/9578

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 1814/789,3733/9578, numerators are 1814,3733

Denominators are 789,9578

The GCF of 1814,3733 is 1 .

LCM of 789,9578 is 7557042.

The greatest common factor of 1814/789,3733/9578 = [GCF of 1814,3733]/[LCM of 789,9578]= 1/7557042

Therefore, the GCF of 1814/789,3733/9578 is 1/7557042.

Greatest Common Factor of 1814,3733

To find the highest common factor of 1814,3733, we have to find the factors of both numbers and list the highest common factor.

The factors of 1814 are 1, 2, 907, 1814

The factors of 3733 are 1, 3733

The HCF of 1814,3733 is 1.

Lets's calculate GCF of 1814,3733

Greatest Common Factor (GCF) of 1814,3733 By Common Division

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

Greatest Common Factor of 1814,3733 By Matching Biggest Common Factor Method

Now, list down the factors of 1814

1,2,907,1814

Now, list down the factors of 3733

1,3733

Greatest Common Factor

We found the factors 1814,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 1814,3733 is 1.

Lets's calculate LCM of 789,9578

Lowest Common Multiple of 789,9578 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7557042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7557042

Therefore, the GCF of Fractions 1814/789,3733/9578 is 1/7557042

Least Common Multiple of 789,9578 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 789,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,9578) = 1

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

GCF(789,9578) x common factors =1 x 1 = 1

LCM(789,9578) = ( 789 × 9578 ) / 1

LCM(789,9578) = 7557042 / 1

LCM(789,9578) = 7557042

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FAQs on GCF of Fractions of 1814/789, 3733/9578

1. What is the HCF of 1814,3733?

The HCF of 1814,3733 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 1814/789, 3733/9578?

Answer: GCF of Numerators as per given numbers 1814/789, 3733/9578 is

GCF of Numerators i.e. for 1814,3733 is 1

LCM of denominators i.e. for 789,9578 is 7557042.

Thus, GCF of Fractions is 1/7557042.Finally, GCF of Fractions for 1814/789, 3733/9578 is 1/7557042.