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GCF of 336/28, 545/144

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 336/28, 545/144 i.e 1/1008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/28, 545/144.

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 336/28,545/144?

Given fractions are 336/28,545/144

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 336/28,545/144, numerators are 336,545

Denominators are 28,144

The GCF of 336,545 is 1 .

LCM of 28,144 is 1008.

The greatest common factor of 336/28,545/144 = [GCF of 336,545]/[LCM of 28,144]= 1/1008

Therefore, the GCF of 336/28,545/144 is 1/1008.

Greatest Common Factor of 336,545

To find the highest common factor of 336,545, we have to find the factors of both numbers and list the highest common factor.

The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

The factors of 545 are 1, 5, 109, 545

The HCF of 336,545 is 1.

Lets's calculate GCF of 336,545

Greatest Common Factor (GCF) of 336,545 By Common Division

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

Greatest Common Factor of 336,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,545 By Matching Biggest Common Factor Method

Now, list down the factors of 336

:

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Now, list down the factors of 545

:

1,5,109,545

Greatest Common Factor

We found the factors 336,545 . The biggest common factor number is the GCF number.
So the greatest common factor 336,545 is 1.

Lets's calculate LCM of 28,144

Lowest Common Multiple of 28,144 using Common Division

2 28, 144
2 14, 72
7, 36

∴ So the LCM of the given numbers is 2 x 2 x 7 x 36 = 1008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008

Therefore, the GCF of Fractions 336/28,545/144 is 1/1008

Least Common Multiple of 28,144 with GCF Formula

Least Common Multiple of 28,144 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 28,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,144) = 4

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

GCF(28,144) x common factors =4 x 1 = 4

LCM(28,144) = ( 28 × 144 ) / 4

LCM(28,144) = 4032 / 4

LCM(28,144) = 1008


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FAQs on GCF of Fractions of 336/28, 545/144

1. What is the HCF of 336,545?

The HCF of 336,545 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 336/28, 545/144?

Answer: GCF of Numerators as per given numbers 336/28, 545/144 is

GCF of Numerators i.e. for 336,545 is 1

LCM of denominators i.e. for 28,144 is 1008.

Thus, GCF of Fractions is 1/1008.Finally, GCF of Fractions for 336/28, 545/144 is 1/1008.