How to Find GCF of 7833/374, 3425/424?

GCF of 7833/374, 3425/424

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 7833/374, 3425/424 i.e 1/79288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7833/374, 3425/424.

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 7833/374,3425/424?

Given fractions are 7833/374,3425/424

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 7833/374,3425/424, numerators are 7833,3425

Denominators are 374,424

The GCF of 7833,3425 is 1 .

LCM of 374,424 is 79288.

The greatest common factor of 7833/374,3425/424 = [GCF of 7833,3425]/[LCM of 374,424]= 1/79288

Therefore, the GCF of 7833/374,3425/424 is 1/79288.

Greatest Common Factor of 7833,3425

To find the highest common factor of 7833,3425, we have to find the factors of both numbers and list the highest common factor.

The factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833

The factors of 3425 are 1, 5, 25, 137, 685, 3425

The HCF of 7833,3425 is 1.

Lets's calculate GCF of 7833,3425

Greatest Common Factor (GCF) of 7833,3425 By Common Division

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

Greatest Common Factor of 7833,3425 By Matching Biggest Common Factor Method

Now, list down the factors of 7833

1,3,7,21,373,1119,2611,7833

Now, list down the factors of 3425

1,5,25,137,685,3425

Greatest Common Factor

We found the factors 7833,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 7833,3425 is 1.

Lets's calculate LCM of 374,424

Lowest Common Multiple of 374,424 using Common Division

2	374, 424
	187, 212

∴ So the LCM of the given numbers is 2 x 187 x 212 = 79288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79288

Therefore, the GCF of Fractions 7833/374,3425/424 is 1/79288

Least Common Multiple of 374,424 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 374,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,424) = 2

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

GCF(374,424) x common factors =2 x 1 = 2

LCM(374,424) = ( 374 × 424 ) / 2

LCM(374,424) = 158576 / 2

LCM(374,424) = 79288

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FAQs on GCF of Fractions of 7833/374, 3425/424

1. What is the HCF of 7833,3425?

The HCF of 7833,3425 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 7833/374, 3425/424?

Answer: GCF of Numerators as per given numbers 7833/374, 3425/424 is

GCF of Numerators i.e. for 7833,3425 is 1

LCM of denominators i.e. for 374,424 is 79288.

Thus, GCF of Fractions is 1/79288.Finally, GCF of Fractions for 7833/374, 3425/424 is 1/79288.