How to Find GCF of 5882/847, 1615/6343?

GCF of 5882/847, 1615/6343

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 5882/847, 1615/6343 i.e 17/5372521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5882/847, 1615/6343.

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 5882/847,1615/6343?

Given fractions are 5882/847,1615/6343

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 5882/847,1615/6343, numerators are 5882,1615

Denominators are 847,6343

The GCF of 5882,1615 is 17 .

LCM of 847,6343 is 5372521.

The greatest common factor of 5882/847,1615/6343 = [GCF of 5882,1615]/[LCM of 847,6343]= 17/5372521

Therefore, the GCF of 5882/847,1615/6343 is 17/5372521.

Greatest Common Factor of 5882,1615

To find the highest common factor of 5882,1615, we have to find the factors of both numbers and list the highest common factor.

The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882

The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615

The HCF of 5882,1615 is 17.

Lets's calculate GCF of 5882,1615

Greatest Common Factor (GCF) of 5882,1615 By Common Division

17	5882, 1615
	346, 95

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 5882,1615 By Matching Biggest Common Factor Method

Now, list down the factors of 5882

1,2,17,34,173,346,2941,5882

Now, list down the factors of 1615

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 5882,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 5882,1615 is 17.

Lets's calculate LCM of 847,6343

Lowest Common Multiple of 847,6343 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5372521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/5372521

Therefore, the GCF of Fractions 5882/847,1615/6343 is 17/5372521

Least Common Multiple of 847,6343 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 847,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,6343) = 1

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

GCF(847,6343) x common factors =1 x 1 = 1

LCM(847,6343) = ( 847 × 6343 ) / 1

LCM(847,6343) = 5372521 / 1

LCM(847,6343) = 5372521

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5882/847, 1615/6343

1. What is the HCF of 5882,1615?

The HCF of 5882,1615 is 17

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 5882/847, 1615/6343?

Answer: GCF of Numerators as per given numbers 5882/847, 1615/6343 is

GCF of Numerators i.e. for 5882,1615 is 17

LCM of denominators i.e. for 847,6343 is 5372521.

Thus, GCF of Fractions is 17/5372521.Finally, GCF of Fractions for 5882/847, 1615/6343 is 17/5372521.