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GCF of 5413/676, 8182/736

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 5413/676, 8182/736 i.e 1/124384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5413/676, 8182/736.

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 5413/676,8182/736?

Given fractions are 5413/676,8182/736

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 5413/676,8182/736, numerators are 5413,8182

Denominators are 676,736

The GCF of 5413,8182 is 1 .

LCM of 676,736 is 124384.

The greatest common factor of 5413/676,8182/736 = [GCF of 5413,8182]/[LCM of 676,736]= 1/124384

Therefore, the GCF of 5413/676,8182/736 is 1/124384.

Greatest Common Factor of 5413,8182

To find the highest common factor of 5413,8182, we have to find the factors of both numbers and list the highest common factor.

The factors of 5413 are 1, 5413

The factors of 8182 are 1, 2, 4091, 8182

The HCF of 5413,8182 is 1.

Lets's calculate GCF of 5413,8182

Greatest Common Factor (GCF) of 5413,8182 By Common Division

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

Greatest Common Factor of 5413,8182 By Matching Biggest Common Factor Method

Greatest Common Factor of 5413,8182 By Matching Biggest Common Factor Method

Now, list down the factors of 5413

:

1,5413

Now, list down the factors of 8182

:

1,2,4091,8182

Greatest Common Factor

We found the factors 5413,8182 . The biggest common factor number is the GCF number.
So the greatest common factor 5413,8182 is 1.

Lets's calculate LCM of 676,736

Lowest Common Multiple of 676,736 using Common Division

2 676, 736
2 338, 368
169, 184

∴ So the LCM of the given numbers is 2 x 2 x 169 x 184 = 124384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124384

Therefore, the GCF of Fractions 5413/676,8182/736 is 1/124384

Least Common Multiple of 676,736 with GCF Formula

Least Common Multiple of 676,736 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 676,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,736) = 4

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

GCF(676,736) x common factors =4 x 1 = 4

LCM(676,736) = ( 676 × 736 ) / 4

LCM(676,736) = 497536 / 4

LCM(676,736) = 124384


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FAQs on GCF of Fractions of 5413/676, 8182/736

1. What is the HCF of 5413,8182?

The HCF of 5413,8182 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 5413/676, 8182/736?

Answer: GCF of Numerators as per given numbers 5413/676, 8182/736 is

GCF of Numerators i.e. for 5413,8182 is 1

LCM of denominators i.e. for 676,736 is 124384.

Thus, GCF of Fractions is 1/124384.Finally, GCF of Fractions for 5413/676, 8182/736 is 1/124384.