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GCF of 5435/218, 5647/2839

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 5435/218, 5647/2839 i.e 1/618902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5435/218, 5647/2839.

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 5435/218,5647/2839?

Given fractions are 5435/218,5647/2839

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 5435/218,5647/2839, numerators are 5435,5647

Denominators are 218,2839

The GCF of 5435,5647 is 1 .

LCM of 218,2839 is 618902.

The greatest common factor of 5435/218,5647/2839 = [GCF of 5435,5647]/[LCM of 218,2839]= 1/618902

Therefore, the GCF of 5435/218,5647/2839 is 1/618902.

Greatest Common Factor of 5435,5647

To find the highest common factor of 5435,5647, we have to find the factors of both numbers and list the highest common factor.

The factors of 5435 are 1, 5, 1087, 5435

The factors of 5647 are 1, 5647

The HCF of 5435,5647 is 1.

Lets's calculate GCF of 5435,5647

Greatest Common Factor (GCF) of 5435,5647 By Common Division

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

Greatest Common Factor of 5435,5647 By Matching Biggest Common Factor Method

Greatest Common Factor of 5435,5647 By Matching Biggest Common Factor Method

Now, list down the factors of 5435

:

1,5,1087,5435

Now, list down the factors of 5647

:

1,5647

Greatest Common Factor

We found the factors 5435,5647 . The biggest common factor number is the GCF number.
So the greatest common factor 5435,5647 is 1.

Lets's calculate LCM of 218,2839

Lowest Common Multiple of 218,2839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 618902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618902

Therefore, the GCF of Fractions 5435/218,5647/2839 is 1/618902

Least Common Multiple of 218,2839 with GCF Formula

Least Common Multiple of 218,2839 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 218,2839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,2839) = 1

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

GCF(218,2839) x common factors =1 x 1 = 1

LCM(218,2839) = ( 218 × 2839 ) / 1

LCM(218,2839) = 618902 / 1

LCM(218,2839) = 618902


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FAQs on GCF of Fractions of 5435/218, 5647/2839

1. What is the HCF of 5435,5647?

The HCF of 5435,5647 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 5435/218, 5647/2839?

Answer: GCF of Numerators as per given numbers 5435/218, 5647/2839 is

GCF of Numerators i.e. for 5435,5647 is 1

LCM of denominators i.e. for 218,2839 is 618902.

Thus, GCF of Fractions is 1/618902.Finally, GCF of Fractions for 5435/218, 5647/2839 is 1/618902.