How to Find GCF of 2622/653, 2166/6536?

GCF of 2622/653, 2166/6536

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 2622/653, 2166/6536 i.e 114/4268008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2622/653, 2166/6536.

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 2622/653,2166/6536?

Given fractions are 2622/653,2166/6536

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 2622/653,2166/6536, numerators are 2622,2166

Denominators are 653,6536

The GCF of 2622,2166 is 114 .

LCM of 653,6536 is 4268008.

The greatest common factor of 2622/653,2166/6536 = [GCF of 2622,2166]/[LCM of 653,6536]= 114/4268008

Therefore, the GCF of 2622/653,2166/6536 is 114/4268008.

Greatest Common Factor of 2622,2166

To find the highest common factor of 2622,2166, we have to find the factors of both numbers and list the highest common factor.

The factors of 2622 are 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622

The factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166

The HCF of 2622,2166 is 114.

Lets's calculate GCF of 2622,2166

Greatest Common Factor (GCF) of 2622,2166 By Common Division

2	2622, 2166
3	1311, 1083
19	437, 361
	23, 19

∴ So the GCF of the given numbers is 2 x 3 x 19 = 114

Greatest Common Factor of 2622,2166 By Matching Biggest Common Factor Method

Now, list down the factors of 2622

1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622

Now, list down the factors of 2166

1,2,3,6,19,38,57,114,361,722,1083,2166

Greatest Common Factor

We found the factors 2622,2166 . The biggest common factor number is the GCF number.
So the greatest common factor 2622,2166 is 114.

Lets's calculate LCM of 653,6536

Lowest Common Multiple of 653,6536 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4268008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/4268008

Therefore, the GCF of Fractions 2622/653,2166/6536 is 114/4268008

Least Common Multiple of 653,6536 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 653,6536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,6536) = 1

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

GCF(653,6536) x common factors =1 x 1 = 1

LCM(653,6536) = ( 653 × 6536 ) / 1

LCM(653,6536) = 4268008 / 1

LCM(653,6536) = 4268008

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2622/653, 2166/6536

1. What is the HCF of 2622,2166?

The HCF of 2622,2166 is 114

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 2622/653, 2166/6536?

Answer: GCF of Numerators as per given numbers 2622/653, 2166/6536 is

GCF of Numerators i.e. for 2622,2166 is 114

LCM of denominators i.e. for 653,6536 is 4268008.

Thus, GCF of Fractions is 114/4268008.Finally, GCF of Fractions for 2622/653, 2166/6536 is 114/4268008.