How to Find GCF of 3149/803, 6126/6562?

GCF of 3149/803, 6126/6562

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 3149/803, 6126/6562 i.e 1/5269286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3149/803, 6126/6562.

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 3149/803,6126/6562?

Given fractions are 3149/803,6126/6562

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 3149/803,6126/6562, numerators are 3149,6126

Denominators are 803,6562

The GCF of 3149,6126 is 1 .

LCM of 803,6562 is 5269286.

The greatest common factor of 3149/803,6126/6562 = [GCF of 3149,6126]/[LCM of 803,6562]= 1/5269286

Therefore, the GCF of 3149/803,6126/6562 is 1/5269286.

Greatest Common Factor of 3149,6126

To find the highest common factor of 3149,6126, we have to find the factors of both numbers and list the highest common factor.

The factors of 3149 are 1, 47, 67, 3149

The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126

The HCF of 3149,6126 is 1.

Lets's calculate GCF of 3149,6126

Greatest Common Factor (GCF) of 3149,6126 By Common Division

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

Greatest Common Factor of 3149,6126 By Matching Biggest Common Factor Method

Now, list down the factors of 3149

1,47,67,3149

Now, list down the factors of 6126

1,2,3,6,1021,2042,3063,6126

Greatest Common Factor

We found the factors 3149,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 3149,6126 is 1.

Lets's calculate LCM of 803,6562

Lowest Common Multiple of 803,6562 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5269286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5269286

Therefore, the GCF of Fractions 3149/803,6126/6562 is 1/5269286

Least Common Multiple of 803,6562 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 803,6562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,6562) = 1

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

GCF(803,6562) x common factors =1 x 1 = 1

LCM(803,6562) = ( 803 × 6562 ) / 1

LCM(803,6562) = 5269286 / 1

LCM(803,6562) = 5269286

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FAQs on GCF of Fractions of 3149/803, 6126/6562

1. What is the HCF of 3149,6126?

The HCF of 3149,6126 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 3149/803, 6126/6562?

Answer: GCF of Numerators as per given numbers 3149/803, 6126/6562 is

GCF of Numerators i.e. for 3149,6126 is 1

LCM of denominators i.e. for 803,6562 is 5269286.

Thus, GCF of Fractions is 1/5269286.Finally, GCF of Fractions for 3149/803, 6126/6562 is 1/5269286.