How to Find GCF of 2424/297, 5275/3139?

GCF of 2424/297, 5275/3139

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 2424/297, 5275/3139 i.e 1/932283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2424/297, 5275/3139.

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 2424/297,5275/3139?

Given fractions are 2424/297,5275/3139

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 2424/297,5275/3139, numerators are 2424,5275

Denominators are 297,3139

The GCF of 2424,5275 is 1 .

LCM of 297,3139 is 932283.

The greatest common factor of 2424/297,5275/3139 = [GCF of 2424,5275]/[LCM of 297,3139]= 1/932283

Therefore, the GCF of 2424/297,5275/3139 is 1/932283.

Greatest Common Factor of 2424,5275

To find the highest common factor of 2424,5275, we have to find the factors of both numbers and list the highest common factor.

The factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

The factors of 5275 are 1, 5, 25, 211, 1055, 5275

The HCF of 2424,5275 is 1.

Lets's calculate GCF of 2424,5275

Greatest Common Factor (GCF) of 2424,5275 By Common Division

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

Greatest Common Factor of 2424,5275 By Matching Biggest Common Factor Method

Now, list down the factors of 2424

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Now, list down the factors of 5275

1,5,25,211,1055,5275

Greatest Common Factor

We found the factors 2424,5275 . The biggest common factor number is the GCF number.
So the greatest common factor 2424,5275 is 1.

Lets's calculate LCM of 297,3139

Lowest Common Multiple of 297,3139 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 932283

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/932283

Therefore, the GCF of Fractions 2424/297,5275/3139 is 1/932283

Least Common Multiple of 297,3139 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 297,3139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,3139) = 1

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

GCF(297,3139) x common factors =1 x 1 = 1

LCM(297,3139) = ( 297 × 3139 ) / 1

LCM(297,3139) = 932283 / 1

LCM(297,3139) = 932283

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FAQs on GCF of Fractions of 2424/297, 5275/3139

1. What is the HCF of 2424,5275?

The HCF of 2424,5275 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 2424/297, 5275/3139?

Answer: GCF of Numerators as per given numbers 2424/297, 5275/3139 is

GCF of Numerators i.e. for 2424,5275 is 1

LCM of denominators i.e. for 297,3139 is 932283.

Thus, GCF of Fractions is 1/932283.Finally, GCF of Fractions for 2424/297, 5275/3139 is 1/932283.