LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 444/208, 703/512

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 444/208, 703/512 i.e 37/6656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/208, 703/512.

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 444/208,703/512?

Given fractions are 444/208,703/512

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 444/208,703/512, numerators are 444,703

Denominators are 208,512

The GCF of 444,703 is 37 .

LCM of 208,512 is 6656.

The greatest common factor of 444/208,703/512 = [GCF of 444,703]/[LCM of 208,512]= 37/6656

Therefore, the GCF of 444/208,703/512 is 37/6656.

Greatest Common Factor of 444,703

To find the highest common factor of 444,703, we have to find the factors of both numbers and list the highest common factor.

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

The factors of 703 are 1, 19, 37, 703

The HCF of 444,703 is 37.

Lets's calculate GCF of 444,703

Greatest Common Factor (GCF) of 444,703 By Common Division

37 444, 703
12, 19

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 444,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,703 By Matching Biggest Common Factor Method

Now, list down the factors of 444

:

1,2,3,4,6,12,37,74,111,148,222,444

Now, list down the factors of 703

:

1,19,37,703

Greatest Common Factor

We found the factors 444,703 . The biggest common factor number is the GCF number.
So the greatest common factor 444,703 is 37.

Lets's calculate LCM of 208,512

Lowest Common Multiple of 208,512 using Common Division

2 208, 512
2 104, 256
2 52, 128
2 26, 64
13, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 32 = 6656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/6656

Therefore, the GCF of Fractions 444/208,703/512 is 37/6656

Least Common Multiple of 208,512 with GCF Formula

Least Common Multiple of 208,512 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 208,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,512) = 16

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

GCF(208,512) x common factors =16 x 1 = 16

LCM(208,512) = ( 208 × 512 ) / 16

LCM(208,512) = 106496 / 16

LCM(208,512) = 6656


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 444/208, 703/512

1. What is the HCF of 444,703?

The HCF of 444,703 is 37

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 444/208, 703/512?

Answer: GCF of Numerators as per given numbers 444/208, 703/512 is

GCF of Numerators i.e. for 444,703 is 37

LCM of denominators i.e. for 208,512 is 6656.

Thus, GCF of Fractions is 37/6656.Finally, GCF of Fractions for 444/208, 703/512 is 37/6656.