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GCF of 188/26, 218/5473

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 188/26, 218/5473 i.e 2/10946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 188/26, 218/5473.

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 188/26,218/5473?

Given fractions are 188/26,218/5473

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 188/26,218/5473, numerators are 188,218

Denominators are 26,5473

The GCF of 188,218 is 2 .

LCM of 26,5473 is 10946.

The greatest common factor of 188/26,218/5473 = [GCF of 188,218]/[LCM of 26,5473]= 2/10946

Therefore, the GCF of 188/26,218/5473 is 2/10946.

Greatest Common Factor of 188,218

To find the highest common factor of 188,218, we have to find the factors of both numbers and list the highest common factor.

The factors of 188 are 1, 2, 4, 47, 94, 188

The factors of 218 are 1, 2, 109, 218

The HCF of 188,218 is 2.

Lets's calculate GCF of 188,218

Greatest Common Factor (GCF) of 188,218 By Common Division

2 188, 218
94, 109

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 188,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,218 By Matching Biggest Common Factor Method

Now, list down the factors of 188

:

1,2,4,47,94,188

Now, list down the factors of 218

:

1,2,109,218

Greatest Common Factor

We found the factors 188,218 . The biggest common factor number is the GCF number.
So the greatest common factor 188,218 is 2.

Lets's calculate LCM of 26,5473

Lowest Common Multiple of 26,5473 using Common Division

13 26, 5473
2, 421

∴ So the LCM of the given numbers is 13 x 2 x 421 = 10946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10946

Therefore, the GCF of Fractions 188/26,218/5473 is 2/10946

Least Common Multiple of 26,5473 with GCF Formula

Least Common Multiple of 26,5473 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 26,5473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,5473) = 13

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

GCF(26,5473) x common factors =13 x 1 = 13

LCM(26,5473) = ( 26 × 5473 ) / 13

LCM(26,5473) = 142298 / 13

LCM(26,5473) = 10946


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FAQs on GCF of Fractions of 188/26, 218/5473

1. What is the HCF of 188,218?

The HCF of 188,218 is 2

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 188/26, 218/5473?

Answer: GCF of Numerators as per given numbers 188/26, 218/5473 is

GCF of Numerators i.e. for 188,218 is 2

LCM of denominators i.e. for 26,5473 is 10946.

Thus, GCF of Fractions is 2/10946.Finally, GCF of Fractions for 188/26, 218/5473 is 2/10946.