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GCF of 5213/362, 1906/1486

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 5213/362, 1906/1486 i.e 1/268966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5213/362, 1906/1486.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5213/362,1906/1486?

Given fractions are 5213/362,1906/1486

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 5213/362,1906/1486, numerators are 5213,1906

Denominators are 362,1486

The GCF of 5213,1906 is 1 .

LCM of 362,1486 is 268966.

The greatest common factor of 5213/362,1906/1486 = [GCF of 5213,1906]/[LCM of 362,1486]= 1/268966

Therefore, the GCF of 5213/362,1906/1486 is 1/268966.

Greatest Common Factor of 5213,1906

To find the highest common factor of 5213,1906, we have to find the factors of both numbers and list the highest common factor.

The factors of 5213 are 1, 13, 401, 5213

The factors of 1906 are 1, 2, 953, 1906

The HCF of 5213,1906 is 1.

Lets's calculate GCF of 5213,1906

Greatest Common Factor (GCF) of 5213,1906 By Common Division

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

Greatest Common Factor of 5213,1906 By Matching Biggest Common Factor Method

Greatest Common Factor of 5213,1906 By Matching Biggest Common Factor Method

Now, list down the factors of 5213

:

1,13,401,5213

Now, list down the factors of 1906

:

1,2,953,1906

Greatest Common Factor

We found the factors 5213,1906 . The biggest common factor number is the GCF number.
So the greatest common factor 5213,1906 is 1.

Lets's calculate LCM of 362,1486

Lowest Common Multiple of 362,1486 using Common Division

2 362, 1486
181, 743

∴ So the LCM of the given numbers is 2 x 181 x 743 = 268966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268966

Therefore, the GCF of Fractions 5213/362,1906/1486 is 1/268966

Least Common Multiple of 362,1486 with GCF Formula

Least Common Multiple of 362,1486 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 362,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,1486) = 2

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

GCF(362,1486) x common factors =2 x 1 = 2

LCM(362,1486) = ( 362 × 1486 ) / 2

LCM(362,1486) = 537932 / 2

LCM(362,1486) = 268966


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FAQs on GCF of Fractions of 5213/362, 1906/1486

1. What is the HCF of 5213,1906?

The HCF of 5213,1906 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 5213/362, 1906/1486?

Answer: GCF of Numerators as per given numbers 5213/362, 1906/1486 is

GCF of Numerators i.e. for 5213,1906 is 1

LCM of denominators i.e. for 362,1486 is 268966.

Thus, GCF of Fractions is 1/268966.Finally, GCF of Fractions for 5213/362, 1906/1486 is 1/268966.