How to Find GCF of 7433/289, 4570/2376?

GCF of 7433/289, 4570/2376

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 7433/289, 4570/2376 i.e 1/686664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7433/289, 4570/2376.

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 7433/289,4570/2376?

Given fractions are 7433/289,4570/2376

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 7433/289,4570/2376, numerators are 7433,4570

Denominators are 289,2376

The GCF of 7433,4570 is 1 .

LCM of 289,2376 is 686664.

The greatest common factor of 7433/289,4570/2376 = [GCF of 7433,4570]/[LCM of 289,2376]= 1/686664

Therefore, the GCF of 7433/289,4570/2376 is 1/686664.

Greatest Common Factor of 7433,4570

To find the highest common factor of 7433,4570, we have to find the factors of both numbers and list the highest common factor.

The factors of 7433 are 1, 7433

The factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570

The HCF of 7433,4570 is 1.

Lets's calculate GCF of 7433,4570

Greatest Common Factor (GCF) of 7433,4570 By Common Division

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

Greatest Common Factor of 7433,4570 By Matching Biggest Common Factor Method

Now, list down the factors of 7433

1,7433

Now, list down the factors of 4570

1,2,5,10,457,914,2285,4570

Greatest Common Factor

We found the factors 7433,4570 . The biggest common factor number is the GCF number.
So the greatest common factor 7433,4570 is 1.

Lets's calculate LCM of 289,2376

Lowest Common Multiple of 289,2376 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 686664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686664

Therefore, the GCF of Fractions 7433/289,4570/2376 is 1/686664

Least Common Multiple of 289,2376 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 289,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,2376) = 1

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

GCF(289,2376) x common factors =1 x 1 = 1

LCM(289,2376) = ( 289 × 2376 ) / 1

LCM(289,2376) = 686664 / 1

LCM(289,2376) = 686664

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FAQs on GCF of Fractions of 7433/289, 4570/2376

1. What is the HCF of 7433,4570?

The HCF of 7433,4570 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 7433/289, 4570/2376?

Answer: GCF of Numerators as per given numbers 7433/289, 4570/2376 is

GCF of Numerators i.e. for 7433,4570 is 1

LCM of denominators i.e. for 289,2376 is 686664.

Thus, GCF of Fractions is 1/686664.Finally, GCF of Fractions for 7433/289, 4570/2376 is 1/686664.