How to Find GCF of 58/37, 290/62, 619/758?

GCF of 58/37, 290/62, 619/758

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 58/37, 290/62, 619/758 i.e 1/869426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/37, 290/62, 619/758.

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 58/37,290/62,619/758?

Given fractions are 58/37,290/62,619/758

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 58/37,290/62,619/758, numerators are 58,290,619

Denominators are 37,62,758

The GCF of 58,290,619 is 1 .

LCM of 37,62,758 is 869426.

The greatest common factor of 58/37,290/62,619/758 = [GCF of 58,290,619]/[LCM of 37,62,758]= 1/869426

Therefore, the GCF of 58/37,290/62,619/758 is 1/869426.

Greatest Common Factor of 58,290,619

To find the highest common factor of 58,290,619, we have to find the factors of both numbers and list the highest common factor.

The factors of 58 are 1, 2, 29, 58

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The factors of 619 are 1, 619

The HCF of 58,290,619 is 1.

Lets's calculate GCF of 58,290,619

Greatest Common Factor (GCF) of 58,290,619 By Common Division

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

Greatest Common Factor of 58,290,619 By Matching Biggest Common Factor Method

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 290

1,2,5,10,29,58,145,290

Now, list down the factors of 619

1,619

Greatest Common Factor

We found the factors 58,290,619 . The biggest common factor number is the GCF number.
So the greatest common factor 58,290,619 is 1.

Lets's calculate LCM of 37,62,758

Lowest Common Multiple of 37,62,758 using Common Division

2	37, 62, 758
	37, 31, 379

∴ So the LCM of the given numbers is 2 x 37 x 31 x 379 = 869426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/869426

Therefore, the GCF of Fractions 58/37,290/62,619/758 is 1/869426

Least Common Multiple of 37,62,758 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 37,62,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,62,758) = 1

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

GCF(37,62,758) x common factors =1 x 2 = 2

LCM(37,62,758) = ( 37 × 62 × 758 ) / 2

LCM(37,62,758) = 1738852 / 2

LCM(37,62,758) = 869426

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 58/37, 290/62, 619/758

1. What is the HCF of 58,290,619?

The HCF of 58,290,619 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 58/37, 290/62, 619/758?

Answer: GCF of Numerators as per given numbers 58/37, 290/62, 619/758 is

GCF of Numerators i.e. for 58,290,619 is 1

LCM of denominators i.e. for 37,62,758 is 869426.

Thus, GCF of Fractions is 1/869426.Finally, GCF of Fractions for 58/37, 290/62, 619/758 is 1/869426.