How to Find GCF of 4026/446, 9847/3779?

GCF of 4026/446, 9847/3779

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 4026/446, 9847/3779 i.e 1/1685434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4026/446, 9847/3779.

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 4026/446,9847/3779?

Given fractions are 4026/446,9847/3779

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 4026/446,9847/3779, numerators are 4026,9847

Denominators are 446,3779

The GCF of 4026,9847 is 1 .

LCM of 446,3779 is 1685434.

The greatest common factor of 4026/446,9847/3779 = [GCF of 4026,9847]/[LCM of 446,3779]= 1/1685434

Therefore, the GCF of 4026/446,9847/3779 is 1/1685434.

Greatest Common Factor of 4026,9847

To find the highest common factor of 4026,9847, we have to find the factors of both numbers and list the highest common factor.

The factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

The factors of 9847 are 1, 43, 229, 9847

The HCF of 4026,9847 is 1.

Lets's calculate GCF of 4026,9847

Greatest Common Factor (GCF) of 4026,9847 By Common Division

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

Greatest Common Factor of 4026,9847 By Matching Biggest Common Factor Method

Now, list down the factors of 4026

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Now, list down the factors of 9847

1,43,229,9847

Greatest Common Factor

We found the factors 4026,9847 . The biggest common factor number is the GCF number.
So the greatest common factor 4026,9847 is 1.

Lets's calculate LCM of 446,3779

Lowest Common Multiple of 446,3779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1685434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1685434

Therefore, the GCF of Fractions 4026/446,9847/3779 is 1/1685434

Least Common Multiple of 446,3779 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 446,3779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,3779) = 1

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

GCF(446,3779) x common factors =1 x 1 = 1

LCM(446,3779) = ( 446 × 3779 ) / 1

LCM(446,3779) = 1685434 / 1

LCM(446,3779) = 1685434

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FAQs on GCF of Fractions of 4026/446, 9847/3779

1. What is the HCF of 4026,9847?

The HCF of 4026,9847 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 4026/446, 9847/3779?

Answer: GCF of Numerators as per given numbers 4026/446, 9847/3779 is

GCF of Numerators i.e. for 4026,9847 is 1

LCM of denominators i.e. for 446,3779 is 1685434.

Thus, GCF of Fractions is 1/1685434.Finally, GCF of Fractions for 4026/446, 9847/3779 is 1/1685434.