How to Find GCF of 2849/215, 3758/8442?

GCF of 2849/215, 3758/8442

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 2849/215, 3758/8442 i.e 1/1815030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2849/215, 3758/8442.

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 2849/215,3758/8442?

Given fractions are 2849/215,3758/8442

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 2849/215,3758/8442, numerators are 2849,3758

Denominators are 215,8442

The GCF of 2849,3758 is 1 .

LCM of 215,8442 is 1815030.

The greatest common factor of 2849/215,3758/8442 = [GCF of 2849,3758]/[LCM of 215,8442]= 1/1815030

Therefore, the GCF of 2849/215,3758/8442 is 1/1815030.

Greatest Common Factor of 2849,3758

To find the highest common factor of 2849,3758, we have to find the factors of both numbers and list the highest common factor.

The factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849

The factors of 3758 are 1, 2, 1879, 3758

The HCF of 2849,3758 is 1.

Lets's calculate GCF of 2849,3758

Greatest Common Factor (GCF) of 2849,3758 By Common Division

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

Greatest Common Factor of 2849,3758 By Matching Biggest Common Factor Method

Now, list down the factors of 2849

1,7,11,37,77,259,407,2849

Now, list down the factors of 3758

1,2,1879,3758

Greatest Common Factor

We found the factors 2849,3758 . The biggest common factor number is the GCF number.
So the greatest common factor 2849,3758 is 1.

Lets's calculate LCM of 215,8442

Lowest Common Multiple of 215,8442 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1815030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1815030

Therefore, the GCF of Fractions 2849/215,3758/8442 is 1/1815030

Least Common Multiple of 215,8442 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 215,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,8442) = 1

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

GCF(215,8442) x common factors =1 x 1 = 1

LCM(215,8442) = ( 215 × 8442 ) / 1

LCM(215,8442) = 1815030 / 1

LCM(215,8442) = 1815030

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FAQs on GCF of Fractions of 2849/215, 3758/8442

1. What is the HCF of 2849,3758?

The HCF of 2849,3758 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 2849/215, 3758/8442?

Answer: GCF of Numerators as per given numbers 2849/215, 3758/8442 is

GCF of Numerators i.e. for 2849,3758 is 1

LCM of denominators i.e. for 215,8442 is 1815030.

Thus, GCF of Fractions is 1/1815030.Finally, GCF of Fractions for 2849/215, 3758/8442 is 1/1815030.