How to Find GCF of 1106/217, 6640/7438?

GCF of 1106/217, 6640/7438

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 1106/217, 6640/7438 i.e 2/1614046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1106/217, 6640/7438.

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 1106/217,6640/7438?

Given fractions are 1106/217,6640/7438

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 1106/217,6640/7438, numerators are 1106,6640

Denominators are 217,7438

The GCF of 1106,6640 is 2 .

LCM of 217,7438 is 1614046.

The greatest common factor of 1106/217,6640/7438 = [GCF of 1106,6640]/[LCM of 217,7438]= 2/1614046

Therefore, the GCF of 1106/217,6640/7438 is 2/1614046.

Greatest Common Factor of 1106,6640

To find the highest common factor of 1106,6640, we have to find the factors of both numbers and list the highest common factor.

The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106

The factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640

The HCF of 1106,6640 is 2.

Lets's calculate GCF of 1106,6640

Greatest Common Factor (GCF) of 1106,6640 By Common Division

2	1106, 6640
	553, 3320

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

Greatest Common Factor of 1106,6640 By Matching Biggest Common Factor Method

Now, list down the factors of 1106

1,2,7,14,79,158,553,1106

Now, list down the factors of 6640

1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640

Greatest Common Factor

We found the factors 1106,6640 . The biggest common factor number is the GCF number.
So the greatest common factor 1106,6640 is 2.

Lets's calculate LCM of 217,7438

Lowest Common Multiple of 217,7438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1614046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1614046

Therefore, the GCF of Fractions 1106/217,6640/7438 is 2/1614046

Least Common Multiple of 217,7438 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 217,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,7438) = 1

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

GCF(217,7438) x common factors =1 x 1 = 1

LCM(217,7438) = ( 217 × 7438 ) / 1

LCM(217,7438) = 1614046 / 1

LCM(217,7438) = 1614046

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FAQs on GCF of Fractions of 1106/217, 6640/7438

1. What is the HCF of 1106,6640?

The HCF of 1106,6640 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 1106/217, 6640/7438?

Answer: GCF of Numerators as per given numbers 1106/217, 6640/7438 is

GCF of Numerators i.e. for 1106,6640 is 2

LCM of denominators i.e. for 217,7438 is 1614046.

Thus, GCF of Fractions is 2/1614046.Finally, GCF of Fractions for 1106/217, 6640/7438 is 2/1614046.