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GCF of 464/96, 544/300

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 464/96, 544/300 i.e 16/2400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 464/96, 544/300.

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 464/96,544/300?

Given fractions are 464/96,544/300

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 464/96,544/300, numerators are 464,544

Denominators are 96,300

The GCF of 464,544 is 16 .

LCM of 96,300 is 2400.

The greatest common factor of 464/96,544/300 = [GCF of 464,544]/[LCM of 96,300]= 16/2400

Therefore, the GCF of 464/96,544/300 is 16/2400.

Greatest Common Factor of 464,544

To find the highest common factor of 464,544, we have to find the factors of both numbers and list the highest common factor.

The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The HCF of 464,544 is 16.

Lets's calculate GCF of 464,544

Greatest Common Factor (GCF) of 464,544 By Common Division

2 464, 544
2 232, 272
2 116, 136
2 58, 68
29, 34

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 464,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,544 By Matching Biggest Common Factor Method

Now, list down the factors of 464

:

1,2,4,8,16,29,58,116,232,464

Now, list down the factors of 544

:

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 464,544 . The biggest common factor number is the GCF number.
So the greatest common factor 464,544 is 16.

Lets's calculate LCM of 96,300

Lowest Common Multiple of 96,300 using Common Division

2 96, 300
2 48, 150
3 24, 75
8, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 25 = 2400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2400

Therefore, the GCF of Fractions 464/96,544/300 is 16/2400

Least Common Multiple of 96,300 with GCF Formula

Least Common Multiple of 96,300 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 96,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,300) = 12

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

GCF(96,300) x common factors =12 x 1 = 12

LCM(96,300) = ( 96 × 300 ) / 12

LCM(96,300) = 28800 / 12

LCM(96,300) = 2400


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FAQs on GCF of Fractions of 464/96, 544/300

1. What is the HCF of 464,544?

The HCF of 464,544 is 16

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 464/96, 544/300?

Answer: GCF of Numerators as per given numbers 464/96, 544/300 is

GCF of Numerators i.e. for 464,544 is 16

LCM of denominators i.e. for 96,300 is 2400.

Thus, GCF of Fractions is 16/2400.Finally, GCF of Fractions for 464/96, 544/300 is 16/2400.