How to Find GCF of 3358/182, 4101/6437?

GCF of 3358/182, 4101/6437

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 3358/182, 4101/6437 i.e 1/1171534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3358/182, 4101/6437.

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 3358/182,4101/6437?

Given fractions are 3358/182,4101/6437

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 3358/182,4101/6437, numerators are 3358,4101

Denominators are 182,6437

The GCF of 3358,4101 is 1 .

LCM of 182,6437 is 1171534.

The greatest common factor of 3358/182,4101/6437 = [GCF of 3358,4101]/[LCM of 182,6437]= 1/1171534

Therefore, the GCF of 3358/182,4101/6437 is 1/1171534.

Greatest Common Factor of 3358,4101

To find the highest common factor of 3358,4101, we have to find the factors of both numbers and list the highest common factor.

The factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358

The factors of 4101 are 1, 3, 1367, 4101

The HCF of 3358,4101 is 1.

Lets's calculate GCF of 3358,4101

Greatest Common Factor (GCF) of 3358,4101 By Common Division

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

Greatest Common Factor of 3358,4101 By Matching Biggest Common Factor Method

Now, list down the factors of 3358

1,2,23,46,73,146,1679,3358

Now, list down the factors of 4101

1,3,1367,4101

Greatest Common Factor

We found the factors 3358,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 3358,4101 is 1.

Lets's calculate LCM of 182,6437

Lowest Common Multiple of 182,6437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1171534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1171534

Therefore, the GCF of Fractions 3358/182,4101/6437 is 1/1171534

Least Common Multiple of 182,6437 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 182,6437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,6437) = 1

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

GCF(182,6437) x common factors =1 x 1 = 1

LCM(182,6437) = ( 182 × 6437 ) / 1

LCM(182,6437) = 1171534 / 1

LCM(182,6437) = 1171534

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FAQs on GCF of Fractions of 3358/182, 4101/6437

1. What is the HCF of 3358,4101?

The HCF of 3358,4101 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 3358/182, 4101/6437?

Answer: GCF of Numerators as per given numbers 3358/182, 4101/6437 is

GCF of Numerators i.e. for 3358,4101 is 1

LCM of denominators i.e. for 182,6437 is 1171534.

Thus, GCF of Fractions is 1/1171534.Finally, GCF of Fractions for 3358/182, 4101/6437 is 1/1171534.