How to Find GCF of 3106/918, 5542/6383?

GCF of 3106/918, 5542/6383

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 3106/918, 5542/6383 i.e 2/5859594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3106/918, 5542/6383.

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 3106/918,5542/6383?

Given fractions are 3106/918,5542/6383

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 3106/918,5542/6383, numerators are 3106,5542

Denominators are 918,6383

The GCF of 3106,5542 is 2 .

LCM of 918,6383 is 5859594.

The greatest common factor of 3106/918,5542/6383 = [GCF of 3106,5542]/[LCM of 918,6383]= 2/5859594

Therefore, the GCF of 3106/918,5542/6383 is 2/5859594.

Greatest Common Factor of 3106,5542

To find the highest common factor of 3106,5542, we have to find the factors of both numbers and list the highest common factor.

The factors of 3106 are 1, 2, 1553, 3106

The factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542

The HCF of 3106,5542 is 2.

Lets's calculate GCF of 3106,5542

Greatest Common Factor (GCF) of 3106,5542 By Common Division

2	3106, 5542
	1553, 2771

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3106,5542 By Matching Biggest Common Factor Method

Now, list down the factors of 3106

1,2,1553,3106

Now, list down the factors of 5542

1,2,17,34,163,326,2771,5542

Greatest Common Factor

We found the factors 3106,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 3106,5542 is 2.

Lets's calculate LCM of 918,6383

Lowest Common Multiple of 918,6383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5859594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5859594

Therefore, the GCF of Fractions 3106/918,5542/6383 is 2/5859594

Least Common Multiple of 918,6383 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 918,6383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,6383) = 1

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

GCF(918,6383) x common factors =1 x 1 = 1

LCM(918,6383) = ( 918 × 6383 ) / 1

LCM(918,6383) = 5859594 / 1

LCM(918,6383) = 5859594

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3106/918, 5542/6383

1. What is the HCF of 3106,5542?

The HCF of 3106,5542 is 2

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 3106/918, 5542/6383?

Answer: GCF of Numerators as per given numbers 3106/918, 5542/6383 is

GCF of Numerators i.e. for 3106,5542 is 2

LCM of denominators i.e. for 918,6383 is 5859594.

Thus, GCF of Fractions is 2/5859594.Finally, GCF of Fractions for 3106/918, 5542/6383 is 2/5859594.