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GCF of 547/336, 4510/322

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 547/336, 4510/322 i.e 1/7728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/336, 4510/322.

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 547/336,4510/322?

Given fractions are 547/336,4510/322

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 547/336,4510/322, numerators are 547,4510

Denominators are 336,322

The GCF of 547,4510 is 1 .

LCM of 336,322 is 7728.

The greatest common factor of 547/336,4510/322 = [GCF of 547,4510]/[LCM of 336,322]= 1/7728

Therefore, the GCF of 547/336,4510/322 is 1/7728.

Greatest Common Factor of 547,4510

To find the highest common factor of 547,4510, we have to find the factors of both numbers and list the highest common factor.

The factors of 547 are 1, 547

The factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510

The HCF of 547,4510 is 1.

Lets's calculate GCF of 547,4510

Greatest Common Factor (GCF) of 547,4510 By Common Division

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

Greatest Common Factor of 547,4510 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,4510 By Matching Biggest Common Factor Method

Now, list down the factors of 547

:

1,547

Now, list down the factors of 4510

:

1,2,5,10,11,22,41,55,82,110,205,410,451,902,2255,4510

Greatest Common Factor

We found the factors 547,4510 . The biggest common factor number is the GCF number.
So the greatest common factor 547,4510 is 1.

Lets's calculate LCM of 336,322

Lowest Common Multiple of 336,322 using Common Division

2 336, 322
7 168, 161
24, 23

∴ So the LCM of the given numbers is 2 x 7 x 24 x 23 = 7728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7728

Therefore, the GCF of Fractions 547/336,4510/322 is 1/7728

Least Common Multiple of 336,322 with GCF Formula

Least Common Multiple of 336,322 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 336,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,322) = 14

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

GCF(336,322) x common factors =14 x 1 = 14

LCM(336,322) = ( 336 × 322 ) / 14

LCM(336,322) = 108192 / 14

LCM(336,322) = 7728


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FAQs on GCF of Fractions of 547/336, 4510/322

1. What is the HCF of 547,4510?

The HCF of 547,4510 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 547/336, 4510/322?

Answer: GCF of Numerators as per given numbers 547/336, 4510/322 is

GCF of Numerators i.e. for 547,4510 is 1

LCM of denominators i.e. for 336,322 is 7728.

Thus, GCF of Fractions is 1/7728.Finally, GCF of Fractions for 547/336, 4510/322 is 1/7728.