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 220/59, 512/349

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 220/59, 512/349 i.e 4/20591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/59, 512/349.

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 220/59,512/349?

Given fractions are 220/59,512/349

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 220/59,512/349, numerators are 220,512

Denominators are 59,349

The GCF of 220,512 is 4 .

LCM of 59,349 is 20591.

The greatest common factor of 220/59,512/349 = [GCF of 220,512]/[LCM of 59,349]= 4/20591

Therefore, the GCF of 220/59,512/349 is 4/20591.

Greatest Common Factor of 220,512

To find the highest common factor of 220,512, we have to find the factors of both numbers and list the highest common factor.

The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

The HCF of 220,512 is 4.

Lets's calculate GCF of 220,512

Greatest Common Factor (GCF) of 220,512 By Common Division

2 220, 512
2 110, 256
55, 128

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

Greatest Common Factor of 220,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,512 By Matching Biggest Common Factor Method

Now, list down the factors of 220

:

1,2,4,5,10,11,20,22,44,55,110,220

Now, list down the factors of 512

:

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 220,512 . The biggest common factor number is the GCF number.
So the greatest common factor 220,512 is 4.

Lets's calculate LCM of 59,349

Lowest Common Multiple of 59,349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20591

Therefore, the GCF of Fractions 220/59,512/349 is 4/20591

Least Common Multiple of 59,349 with GCF Formula

Least Common Multiple of 59,349 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 59,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,349) = 1

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

GCF(59,349) x common factors =1 x 1 = 1

LCM(59,349) = ( 59 × 349 ) / 1

LCM(59,349) = 20591 / 1

LCM(59,349) = 20591


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 220/59, 512/349

1. What is the HCF of 220,512?

The HCF of 220,512 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 220/59, 512/349?

Answer: GCF of Numerators as per given numbers 220/59, 512/349 is

GCF of Numerators i.e. for 220,512 is 4

LCM of denominators i.e. for 59,349 is 20591.

Thus, GCF of Fractions is 4/20591.Finally, GCF of Fractions for 220/59, 512/349 is 4/20591.