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GCF of 8401/136, 5107/5228

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 8401/136, 5107/5228 i.e 1/177752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8401/136, 5107/5228.

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 8401/136,5107/5228?

Given fractions are 8401/136,5107/5228

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 8401/136,5107/5228, numerators are 8401,5107

Denominators are 136,5228

The GCF of 8401,5107 is 1 .

LCM of 136,5228 is 177752.

The greatest common factor of 8401/136,5107/5228 = [GCF of 8401,5107]/[LCM of 136,5228]= 1/177752

Therefore, the GCF of 8401/136,5107/5228 is 1/177752.

Greatest Common Factor of 8401,5107

To find the highest common factor of 8401,5107, we have to find the factors of both numbers and list the highest common factor.

The factors of 8401 are 1, 31, 271, 8401

The factors of 5107 are 1, 5107

The HCF of 8401,5107 is 1.

Lets's calculate GCF of 8401,5107

Greatest Common Factor (GCF) of 8401,5107 By Common Division

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

Greatest Common Factor of 8401,5107 By Matching Biggest Common Factor Method

Greatest Common Factor of 8401,5107 By Matching Biggest Common Factor Method

Now, list down the factors of 8401

:

1,31,271,8401

Now, list down the factors of 5107

:

1,5107

Greatest Common Factor

We found the factors 8401,5107 . The biggest common factor number is the GCF number.
So the greatest common factor 8401,5107 is 1.

Lets's calculate LCM of 136,5228

Lowest Common Multiple of 136,5228 using Common Division

2 136, 5228
2 68, 2614
34, 1307

∴ So the LCM of the given numbers is 2 x 2 x 34 x 1307 = 177752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177752

Therefore, the GCF of Fractions 8401/136,5107/5228 is 1/177752

Least Common Multiple of 136,5228 with GCF Formula

Least Common Multiple of 136,5228 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 136,5228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,5228) = 4

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

GCF(136,5228) x common factors =4 x 1 = 4

LCM(136,5228) = ( 136 × 5228 ) / 4

LCM(136,5228) = 711008 / 4

LCM(136,5228) = 177752


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8401/136, 5107/5228

1. What is the HCF of 8401,5107?

The HCF of 8401,5107 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 8401/136, 5107/5228?

Answer: GCF of Numerators as per given numbers 8401/136, 5107/5228 is

GCF of Numerators i.e. for 8401,5107 is 1

LCM of denominators i.e. for 136,5228 is 177752.

Thus, GCF of Fractions is 1/177752.Finally, GCF of Fractions for 8401/136, 5107/5228 is 1/177752.