How to Find GCF of 5606/482, 2803/4695?

GCF of 5606/482, 2803/4695

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 5606/482, 2803/4695 i.e 2803/2262990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5606/482, 2803/4695.

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 5606/482,2803/4695?

Given fractions are 5606/482,2803/4695

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 5606/482,2803/4695, numerators are 5606,2803

Denominators are 482,4695

The GCF of 5606,2803 is 2803 .

LCM of 482,4695 is 2262990.

The greatest common factor of 5606/482,2803/4695 = [GCF of 5606,2803]/[LCM of 482,4695]= 2803/2262990

Therefore, the GCF of 5606/482,2803/4695 is 2803/2262990.

Greatest Common Factor of 5606,2803

To find the highest common factor of 5606,2803, we have to find the factors of both numbers and list the highest common factor.

The factors of 5606 are 1, 2, 2803, 5606

The factors of 2803 are 1, 2803

The HCF of 5606,2803 is 2803.

Lets's calculate GCF of 5606,2803

Greatest Common Factor (GCF) of 5606,2803 By Common Division

2803	5606, 2803
	2, 1

∴ So the GCF of the given numbers is 2803 = 2803

Greatest Common Factor of 5606,2803 By Matching Biggest Common Factor Method

Now, list down the factors of 5606

1,2,2803,5606

Now, list down the factors of 2803

1,2803

Greatest Common Factor

We found the factors 5606,2803 . The biggest common factor number is the GCF number.
So the greatest common factor 5606,2803 is 2803.

Lets's calculate LCM of 482,4695

Lowest Common Multiple of 482,4695 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2262990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2803/2262990

Therefore, the GCF of Fractions 5606/482,2803/4695 is 2803/2262990

Least Common Multiple of 482,4695 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 482,4695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,4695) = 1

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

GCF(482,4695) x common factors =1 x 1 = 1

LCM(482,4695) = ( 482 × 4695 ) / 1

LCM(482,4695) = 2262990 / 1

LCM(482,4695) = 2262990

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FAQs on GCF of Fractions of 5606/482, 2803/4695

1. What is the HCF of 5606,2803?

The HCF of 5606,2803 is 2803

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 5606/482, 2803/4695?

Answer: GCF of Numerators as per given numbers 5606/482, 2803/4695 is

GCF of Numerators i.e. for 5606,2803 is 2803

LCM of denominators i.e. for 482,4695 is 2262990.

Thus, GCF of Fractions is 2803/2262990.Finally, GCF of Fractions for 5606/482, 2803/4695 is 2803/2262990.