How to Find GCF of 4829/140, 8044/3411?

GCF of 4829/140, 8044/3411

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 4829/140, 8044/3411 i.e 1/477540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4829/140, 8044/3411.

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 4829/140,8044/3411?

Given fractions are 4829/140,8044/3411

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 4829/140,8044/3411, numerators are 4829,8044

Denominators are 140,3411

The GCF of 4829,8044 is 1 .

LCM of 140,3411 is 477540.

The greatest common factor of 4829/140,8044/3411 = [GCF of 4829,8044]/[LCM of 140,3411]= 1/477540

Therefore, the GCF of 4829/140,8044/3411 is 1/477540.

Greatest Common Factor of 4829,8044

To find the highest common factor of 4829,8044, we have to find the factors of both numbers and list the highest common factor.

The factors of 4829 are 1, 11, 439, 4829

The factors of 8044 are 1, 2, 4, 2011, 4022, 8044

The HCF of 4829,8044 is 1.

Lets's calculate GCF of 4829,8044

Greatest Common Factor (GCF) of 4829,8044 By Common Division

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

Greatest Common Factor of 4829,8044 By Matching Biggest Common Factor Method

Now, list down the factors of 4829

1,11,439,4829

Now, list down the factors of 8044

1,2,4,2011,4022,8044

Greatest Common Factor

We found the factors 4829,8044 . The biggest common factor number is the GCF number.
So the greatest common factor 4829,8044 is 1.

Lets's calculate LCM of 140,3411

Lowest Common Multiple of 140,3411 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 477540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477540

Therefore, the GCF of Fractions 4829/140,8044/3411 is 1/477540

Least Common Multiple of 140,3411 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 140,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,3411) = 1

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

GCF(140,3411) x common factors =1 x 1 = 1

LCM(140,3411) = ( 140 × 3411 ) / 1

LCM(140,3411) = 477540 / 1

LCM(140,3411) = 477540

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FAQs on GCF of Fractions of 4829/140, 8044/3411

1. What is the HCF of 4829,8044?

The HCF of 4829,8044 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 4829/140, 8044/3411?

Answer: GCF of Numerators as per given numbers 4829/140, 8044/3411 is

GCF of Numerators i.e. for 4829,8044 is 1

LCM of denominators i.e. for 140,3411 is 477540.

Thus, GCF of Fractions is 1/477540.Finally, GCF of Fractions for 4829/140, 8044/3411 is 1/477540.