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GCF of 554/13, 128/8244

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 554/13, 128/8244 i.e 2/107172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/13, 128/8244.

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 554/13,128/8244?

Given fractions are 554/13,128/8244

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 554/13,128/8244, numerators are 554,128

Denominators are 13,8244

The GCF of 554,128 is 2 .

LCM of 13,8244 is 107172.

The greatest common factor of 554/13,128/8244 = [GCF of 554,128]/[LCM of 13,8244]= 2/107172

Therefore, the GCF of 554/13,128/8244 is 2/107172.

Greatest Common Factor of 554,128

To find the highest common factor of 554,128, we have to find the factors of both numbers and list the highest common factor.

The factors of 554 are 1, 2, 277, 554

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The HCF of 554,128 is 2.

Lets's calculate GCF of 554,128

Greatest Common Factor (GCF) of 554,128 By Common Division

2 554, 128
277, 64

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

Greatest Common Factor of 554,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,128 By Matching Biggest Common Factor Method

Now, list down the factors of 554

:

1,2,277,554

Now, list down the factors of 128

:

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 554,128 . The biggest common factor number is the GCF number.
So the greatest common factor 554,128 is 2.

Lets's calculate LCM of 13,8244

Lowest Common Multiple of 13,8244 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 107172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107172

Therefore, the GCF of Fractions 554/13,128/8244 is 2/107172

Least Common Multiple of 13,8244 with GCF Formula

Least Common Multiple of 13,8244 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 13,8244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,8244) = 1

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

GCF(13,8244) x common factors =1 x 1 = 1

LCM(13,8244) = ( 13 × 8244 ) / 1

LCM(13,8244) = 107172 / 1

LCM(13,8244) = 107172


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FAQs on GCF of Fractions of 554/13, 128/8244

1. What is the HCF of 554,128?

The HCF of 554,128 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 554/13, 128/8244?

Answer: GCF of Numerators as per given numbers 554/13, 128/8244 is

GCF of Numerators i.e. for 554,128 is 2

LCM of denominators i.e. for 13,8244 is 107172.

Thus, GCF of Fractions is 2/107172.Finally, GCF of Fractions for 554/13, 128/8244 is 2/107172.