How to Find GCF of 4048/281, 6347/5439?

GCF of 4048/281, 6347/5439

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 4048/281, 6347/5439 i.e 11/1528359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4048/281, 6347/5439.

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 4048/281,6347/5439?

Given fractions are 4048/281,6347/5439

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 4048/281,6347/5439, numerators are 4048,6347

Denominators are 281,5439

The GCF of 4048,6347 is 11 .

LCM of 281,5439 is 1528359.

The greatest common factor of 4048/281,6347/5439 = [GCF of 4048,6347]/[LCM of 281,5439]= 11/1528359

Therefore, the GCF of 4048/281,6347/5439 is 11/1528359.

Greatest Common Factor of 4048,6347

To find the highest common factor of 4048,6347, we have to find the factors of both numbers and list the highest common factor.

The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048

The factors of 6347 are 1, 11, 577, 6347

The HCF of 4048,6347 is 11.

Lets's calculate GCF of 4048,6347

Greatest Common Factor (GCF) of 4048,6347 By Common Division

11	4048, 6347
	368, 577

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4048,6347 By Matching Biggest Common Factor Method

Now, list down the factors of 4048

1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048

Now, list down the factors of 6347

1,11,577,6347

Greatest Common Factor

We found the factors 4048,6347 . The biggest common factor number is the GCF number.
So the greatest common factor 4048,6347 is 11.

Lets's calculate LCM of 281,5439

Lowest Common Multiple of 281,5439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1528359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1528359

Therefore, the GCF of Fractions 4048/281,6347/5439 is 11/1528359

Least Common Multiple of 281,5439 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 281,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,5439) = 1

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

GCF(281,5439) x common factors =1 x 1 = 1

LCM(281,5439) = ( 281 × 5439 ) / 1

LCM(281,5439) = 1528359 / 1

LCM(281,5439) = 1528359

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FAQs on GCF of Fractions of 4048/281, 6347/5439

1. What is the HCF of 4048,6347?

The HCF of 4048,6347 is 11

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 4048/281, 6347/5439?

Answer: GCF of Numerators as per given numbers 4048/281, 6347/5439 is

GCF of Numerators i.e. for 4048,6347 is 11

LCM of denominators i.e. for 281,5439 is 1528359.

Thus, GCF of Fractions is 11/1528359.Finally, GCF of Fractions for 4048/281, 6347/5439 is 11/1528359.