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GCF of 208/228, 6539/626

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 208/228, 6539/626 i.e 13/71364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/228, 6539/626.

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 208/228,6539/626?

Given fractions are 208/228,6539/626

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 208/228,6539/626, numerators are 208,6539

Denominators are 228,626

The GCF of 208,6539 is 13 .

LCM of 228,626 is 71364.

The greatest common factor of 208/228,6539/626 = [GCF of 208,6539]/[LCM of 228,626]= 13/71364

Therefore, the GCF of 208/228,6539/626 is 13/71364.

Greatest Common Factor of 208,6539

To find the highest common factor of 208,6539, we have to find the factors of both numbers and list the highest common factor.

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The factors of 6539 are 1, 13, 503, 6539

The HCF of 208,6539 is 13.

Lets's calculate GCF of 208,6539

Greatest Common Factor (GCF) of 208,6539 By Common Division

13 208, 6539
16, 503

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 208,6539 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,6539 By Matching Biggest Common Factor Method

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Now, list down the factors of 6539

:

1,13,503,6539

Greatest Common Factor

We found the factors 208,6539 . The biggest common factor number is the GCF number.
So the greatest common factor 208,6539 is 13.

Lets's calculate LCM of 228,626

Lowest Common Multiple of 228,626 using Common Division

2 228, 626
114, 313

∴ So the LCM of the given numbers is 2 x 114 x 313 = 71364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/71364

Therefore, the GCF of Fractions 208/228,6539/626 is 13/71364

Least Common Multiple of 228,626 with GCF Formula

Least Common Multiple of 228,626 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 228,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,626) = 2

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

GCF(228,626) x common factors =2 x 1 = 2

LCM(228,626) = ( 228 × 626 ) / 2

LCM(228,626) = 142728 / 2

LCM(228,626) = 71364


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FAQs on GCF of Fractions of 208/228, 6539/626

1. What is the HCF of 208,6539?

The HCF of 208,6539 is 13

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 208/228, 6539/626?

Answer: GCF of Numerators as per given numbers 208/228, 6539/626 is

GCF of Numerators i.e. for 208,6539 is 13

LCM of denominators i.e. for 228,626 is 71364.

Thus, GCF of Fractions is 13/71364.Finally, GCF of Fractions for 208/228, 6539/626 is 13/71364.