How to Find GCF of 6894/789, 7235/4327?

GCF of 6894/789, 7235/4327

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 6894/789, 7235/4327 i.e 1/3414003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6894/789, 7235/4327.

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 6894/789,7235/4327?

Given fractions are 6894/789,7235/4327

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 6894/789,7235/4327, numerators are 6894,7235

Denominators are 789,4327

The GCF of 6894,7235 is 1 .

LCM of 789,4327 is 3414003.

The greatest common factor of 6894/789,7235/4327 = [GCF of 6894,7235]/[LCM of 789,4327]= 1/3414003

Therefore, the GCF of 6894/789,7235/4327 is 1/3414003.

Greatest Common Factor of 6894,7235

To find the highest common factor of 6894,7235, we have to find the factors of both numbers and list the highest common factor.

The factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894

The factors of 7235 are 1, 5, 1447, 7235

The HCF of 6894,7235 is 1.

Lets's calculate GCF of 6894,7235

Greatest Common Factor (GCF) of 6894,7235 By Common Division

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

Greatest Common Factor of 6894,7235 By Matching Biggest Common Factor Method

Now, list down the factors of 6894

1,2,3,6,9,18,383,766,1149,2298,3447,6894

Now, list down the factors of 7235

1,5,1447,7235

Greatest Common Factor

We found the factors 6894,7235 . The biggest common factor number is the GCF number.
So the greatest common factor 6894,7235 is 1.

Lets's calculate LCM of 789,4327

Lowest Common Multiple of 789,4327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3414003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3414003

Therefore, the GCF of Fractions 6894/789,7235/4327 is 1/3414003

Least Common Multiple of 789,4327 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 789,4327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,4327) = 1

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

GCF(789,4327) x common factors =1 x 1 = 1

LCM(789,4327) = ( 789 × 4327 ) / 1

LCM(789,4327) = 3414003 / 1

LCM(789,4327) = 3414003

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FAQs on GCF of Fractions of 6894/789, 7235/4327

1. What is the HCF of 6894,7235?

The HCF of 6894,7235 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 6894/789, 7235/4327?

Answer: GCF of Numerators as per given numbers 6894/789, 7235/4327 is

GCF of Numerators i.e. for 6894,7235 is 1

LCM of denominators i.e. for 789,4327 is 3414003.

Thus, GCF of Fractions is 1/3414003.Finally, GCF of Fractions for 6894/789, 7235/4327 is 1/3414003.