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GCF of 544/70, 500/383

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 544/70, 500/383 i.e 4/26810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/70, 500/383.

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 544/70,500/383?

Given fractions are 544/70,500/383

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 544/70,500/383, numerators are 544,500

Denominators are 70,383

The GCF of 544,500 is 4 .

LCM of 70,383 is 26810.

The greatest common factor of 544/70,500/383 = [GCF of 544,500]/[LCM of 70,383]= 4/26810

Therefore, the GCF of 544/70,500/383 is 4/26810.

Greatest Common Factor of 544,500

To find the highest common factor of 544,500, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 544,500 is 4.

Lets's calculate GCF of 544,500

Greatest Common Factor (GCF) of 544,500 By Common Division

2 544, 500
2 272, 250
136, 125

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 544,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,500 By Matching Biggest Common Factor Method

Now, list down the factors of 544

:

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

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 544,500 . The biggest common factor number is the GCF number.
So the greatest common factor 544,500 is 4.

Lets's calculate LCM of 70,383

Lowest Common Multiple of 70,383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 26810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26810

Therefore, the GCF of Fractions 544/70,500/383 is 4/26810

Least Common Multiple of 70,383 with GCF Formula

Least Common Multiple of 70,383 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 70,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,383) = 1

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

GCF(70,383) x common factors =1 x 1 = 1

LCM(70,383) = ( 70 × 383 ) / 1

LCM(70,383) = 26810 / 1

LCM(70,383) = 26810


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FAQs on GCF of Fractions of 544/70, 500/383

1. What is the HCF of 544,500?

The HCF of 544,500 is 4

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 544/70, 500/383?

Answer: GCF of Numerators as per given numbers 544/70, 500/383 is

GCF of Numerators i.e. for 544,500 is 4

LCM of denominators i.e. for 70,383 is 26810.

Thus, GCF of Fractions is 4/26810.Finally, GCF of Fractions for 544/70, 500/383 is 4/26810.