How to Find GCF of 789/403, 7340/8814?

GCF of 789/403, 7340/8814

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 789/403, 7340/8814 i.e 1/273234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 789/403, 7340/8814.

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 789/403,7340/8814?

Given fractions are 789/403,7340/8814

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 789/403,7340/8814, numerators are 789,7340

Denominators are 403,8814

The GCF of 789,7340 is 1 .

LCM of 403,8814 is 273234.

The greatest common factor of 789/403,7340/8814 = [GCF of 789,7340]/[LCM of 403,8814]= 1/273234

Therefore, the GCF of 789/403,7340/8814 is 1/273234.

Greatest Common Factor of 789,7340

To find the highest common factor of 789,7340, we have to find the factors of both numbers and list the highest common factor.

The factors of 789 are 1, 3, 263, 789

The factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340

The HCF of 789,7340 is 1.

Lets's calculate GCF of 789,7340

Greatest Common Factor (GCF) of 789,7340 By Common Division

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

Greatest Common Factor of 789,7340 By Matching Biggest Common Factor Method

Now, list down the factors of 789

1,3,263,789

Now, list down the factors of 7340

1,2,4,5,10,20,367,734,1468,1835,3670,7340

Greatest Common Factor

We found the factors 789,7340 . The biggest common factor number is the GCF number.
So the greatest common factor 789,7340 is 1.

Lets's calculate LCM of 403,8814

Lowest Common Multiple of 403,8814 using Common Division

13	403, 8814
	31, 678

∴ So the LCM of the given numbers is 13 x 31 x 678 = 273234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273234

Therefore, the GCF of Fractions 789/403,7340/8814 is 1/273234

Least Common Multiple of 403,8814 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 403,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,8814) = 13

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

GCF(403,8814) x common factors =13 x 1 = 13

LCM(403,8814) = ( 403 × 8814 ) / 13

LCM(403,8814) = 3552042 / 13

LCM(403,8814) = 273234

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FAQs on GCF of Fractions of 789/403, 7340/8814

1. What is the HCF of 789,7340?

The HCF of 789,7340 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 789/403, 7340/8814?

Answer: GCF of Numerators as per given numbers 789/403, 7340/8814 is

GCF of Numerators i.e. for 789,7340 is 1

LCM of denominators i.e. for 403,8814 is 273234.

Thus, GCF of Fractions is 1/273234.Finally, GCF of Fractions for 789/403, 7340/8814 is 1/273234.