How to Find GCF of 4945/238, 9182/6729?

GCF of 4945/238, 9182/6729

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 4945/238, 9182/6729 i.e 1/1601502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4945/238, 9182/6729.

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 4945/238,9182/6729?

Given fractions are 4945/238,9182/6729

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 4945/238,9182/6729, numerators are 4945,9182

Denominators are 238,6729

The GCF of 4945,9182 is 1 .

LCM of 238,6729 is 1601502.

The greatest common factor of 4945/238,9182/6729 = [GCF of 4945,9182]/[LCM of 238,6729]= 1/1601502

Therefore, the GCF of 4945/238,9182/6729 is 1/1601502.

Greatest Common Factor of 4945,9182

To find the highest common factor of 4945,9182, we have to find the factors of both numbers and list the highest common factor.

The factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945

The factors of 9182 are 1, 2, 4591, 9182

The HCF of 4945,9182 is 1.

Lets's calculate GCF of 4945,9182

Greatest Common Factor (GCF) of 4945,9182 By Common Division

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

Greatest Common Factor of 4945,9182 By Matching Biggest Common Factor Method

Now, list down the factors of 4945

1,5,23,43,115,215,989,4945

Now, list down the factors of 9182

1,2,4591,9182

Greatest Common Factor

We found the factors 4945,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 4945,9182 is 1.

Lets's calculate LCM of 238,6729

Lowest Common Multiple of 238,6729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1601502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1601502

Therefore, the GCF of Fractions 4945/238,9182/6729 is 1/1601502

Least Common Multiple of 238,6729 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 238,6729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,6729) = 1

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

GCF(238,6729) x common factors =1 x 1 = 1

LCM(238,6729) = ( 238 × 6729 ) / 1

LCM(238,6729) = 1601502 / 1

LCM(238,6729) = 1601502

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FAQs on GCF of Fractions of 4945/238, 9182/6729

1. What is the HCF of 4945,9182?

The HCF of 4945,9182 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 4945/238, 9182/6729?

Answer: GCF of Numerators as per given numbers 4945/238, 9182/6729 is

GCF of Numerators i.e. for 4945,9182 is 1

LCM of denominators i.e. for 238,6729 is 1601502.

Thus, GCF of Fractions is 1/1601502.Finally, GCF of Fractions for 4945/238, 9182/6729 is 1/1601502.