How to Find GCF of 61/606, 62/140, 134/581?

GCF of 61/606, 62/140, 134/581

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 61/606, 62/140, 134/581 i.e 1/3520860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/606, 62/140, 134/581.

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 61/606,62/140,134/581?

Given fractions are 61/606,62/140,134/581

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 61/606,62/140,134/581, numerators are 61,62,134

Denominators are 606,140,581

The GCF of 61,62,134 is 1 .

LCM of 606,140,581 is 3520860.

The greatest common factor of 61/606,62/140,134/581 = [GCF of 61,62,134]/[LCM of 606,140,581]= 1/3520860

Therefore, the GCF of 61/606,62/140,134/581 is 1/3520860.

Greatest Common Factor of 61,62,134

To find the highest common factor of 61,62,134, we have to find the factors of both numbers and list the highest common factor.

The factors of 61 are 1, 61

The factors of 62 are 1, 2, 31, 62

The factors of 134 are 1, 2, 67, 134

The HCF of 61,62,134 is 1.

Lets's calculate GCF of 61,62,134

Greatest Common Factor (GCF) of 61,62,134 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 61,62,134 By Matching Biggest Common Factor Method

Now, list down the factors of 61

1,61

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 134

1,2,67,134

Greatest Common Factor

We found the factors 61,62,134 . The biggest common factor number is the GCF number.
So the greatest common factor 61,62,134 is 1.

Lets's calculate LCM of 606,140,581

Lowest Common Multiple of 606,140,581 using Common Division

2	606, 140, 581
7	303, 70, 581
	303, 10, 83

∴ So the LCM of the given numbers is 2 x 7 x 303 x 10 x 83 = 3520860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3520860

Therefore, the GCF of Fractions 61/606,62/140,134/581 is 1/3520860

Least Common Multiple of 606,140,581 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 606,140,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,140,581) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(606,140,581) x common factors =1 x 14 = 14

LCM(606,140,581) = ( 606 × 140 × 581 ) / 14

LCM(606,140,581) = 49292040 / 14

LCM(606,140,581) = 3520860

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 61/606, 62/140, 134/581

1. What is the HCF of 61,62,134?

The HCF of 61,62,134 is 1

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 61/606, 62/140, 134/581?

Answer: GCF of Numerators as per given numbers 61/606, 62/140, 134/581 is

GCF of Numerators i.e. for 61,62,134 is 1

LCM of denominators i.e. for 606,140,581 is 3520860.

Thus, GCF of Fractions is 1/3520860.Finally, GCF of Fractions for 61/606, 62/140, 134/581 is 1/3520860.