How to Find GCF of 7357/233, 1459/6823?

GCF of 7357/233, 1459/6823

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 7357/233, 1459/6823 i.e 1/1589759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7357/233, 1459/6823.

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 7357/233,1459/6823?

Given fractions are 7357/233,1459/6823

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 7357/233,1459/6823, numerators are 7357,1459

Denominators are 233,6823

The GCF of 7357,1459 is 1 .

LCM of 233,6823 is 1589759.

The greatest common factor of 7357/233,1459/6823 = [GCF of 7357,1459]/[LCM of 233,6823]= 1/1589759

Therefore, the GCF of 7357/233,1459/6823 is 1/1589759.

Greatest Common Factor of 7357,1459

To find the highest common factor of 7357,1459, we have to find the factors of both numbers and list the highest common factor.

The factors of 7357 are 1, 7, 1051, 7357

The factors of 1459 are 1, 1459

The HCF of 7357,1459 is 1.

Lets's calculate GCF of 7357,1459

Greatest Common Factor (GCF) of 7357,1459 By Common Division

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

Greatest Common Factor of 7357,1459 By Matching Biggest Common Factor Method

Now, list down the factors of 7357

1,7,1051,7357

Now, list down the factors of 1459

1,1459

Greatest Common Factor

We found the factors 7357,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 7357,1459 is 1.

Lets's calculate LCM of 233,6823

Lowest Common Multiple of 233,6823 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1589759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1589759

Therefore, the GCF of Fractions 7357/233,1459/6823 is 1/1589759

Least Common Multiple of 233,6823 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 233,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,6823) = 1

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

GCF(233,6823) x common factors =1 x 1 = 1

LCM(233,6823) = ( 233 × 6823 ) / 1

LCM(233,6823) = 1589759 / 1

LCM(233,6823) = 1589759

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FAQs on GCF of Fractions of 7357/233, 1459/6823

1. What is the HCF of 7357,1459?

The HCF of 7357,1459 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 7357/233, 1459/6823?

Answer: GCF of Numerators as per given numbers 7357/233, 1459/6823 is

GCF of Numerators i.e. for 7357,1459 is 1

LCM of denominators i.e. for 233,6823 is 1589759.

Thus, GCF of Fractions is 1/1589759.Finally, GCF of Fractions for 7357/233, 1459/6823 is 1/1589759.