How to Find GCF of 36/62, 14/72, 670/266?

GCF of 36/62, 14/72, 670/266

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 36/62, 14/72, 670/266 i.e 2/296856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/62, 14/72, 670/266.

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 36/62,14/72,670/266?

Given fractions are 36/62,14/72,670/266

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 36/62,14/72,670/266, numerators are 36,14,670

Denominators are 62,72,266

The GCF of 36,14,670 is 2 .

LCM of 62,72,266 is 296856.

The greatest common factor of 36/62,14/72,670/266 = [GCF of 36,14,670]/[LCM of 62,72,266]= 2/296856

Therefore, the GCF of 36/62,14/72,670/266 is 2/296856.

Greatest Common Factor of 36,14,670

To find the highest common factor of 36,14,670, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 14 are 1, 2, 7, 14

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

The HCF of 36,14,670 is 2.

Lets's calculate GCF of 36,14,670

Greatest Common Factor (GCF) of 36,14,670 By Common Division

2	36, 14, 670
	18, 7, 335

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

Greatest Common Factor of 36,14,670 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 670

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 36,14,670 . The biggest common factor number is the GCF number.
So the greatest common factor 36,14,670 is 2.

Lets's calculate LCM of 62,72,266

Lowest Common Multiple of 62,72,266 using Common Division

2	62, 72, 266
	31, 36, 133

∴ So the LCM of the given numbers is 2 x 31 x 36 x 133 = 296856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/296856

Therefore, the GCF of Fractions 36/62,14/72,670/266 is 2/296856

Least Common Multiple of 62,72,266 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 62,72,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,72,266) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(62,72,266) x common factors =2 x 2 = 4

LCM(62,72,266) = ( 62 × 72 × 266 ) / 4

LCM(62,72,266) = 1187424 / 4

LCM(62,72,266) = 296856

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 36/62, 14/72, 670/266

1. What is the HCF of 36,14,670?

The HCF of 36,14,670 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 36/62, 14/72, 670/266?

Answer: GCF of Numerators as per given numbers 36/62, 14/72, 670/266 is

GCF of Numerators i.e. for 36,14,670 is 2

LCM of denominators i.e. for 62,72,266 is 296856.

Thus, GCF of Fractions is 2/296856.Finally, GCF of Fractions for 36/62, 14/72, 670/266 is 2/296856.