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GCF of 558/38, 194/4265

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 558/38, 194/4265 i.e 2/162070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/38, 194/4265.

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 558/38,194/4265?

Given fractions are 558/38,194/4265

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 558/38,194/4265, numerators are 558,194

Denominators are 38,4265

The GCF of 558,194 is 2 .

LCM of 38,4265 is 162070.

The greatest common factor of 558/38,194/4265 = [GCF of 558,194]/[LCM of 38,4265]= 2/162070

Therefore, the GCF of 558/38,194/4265 is 2/162070.

Greatest Common Factor of 558,194

To find the highest common factor of 558,194, we have to find the factors of both numbers and list the highest common factor.

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

The factors of 194 are 1, 2, 97, 194

The HCF of 558,194 is 2.

Lets's calculate GCF of 558,194

Greatest Common Factor (GCF) of 558,194 By Common Division

2 558, 194
279, 97

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

Greatest Common Factor of 558,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,194 By Matching Biggest Common Factor Method

Now, list down the factors of 558

:

1,2,3,6,9,18,31,62,93,186,279,558

Now, list down the factors of 194

:

1,2,97,194

Greatest Common Factor

We found the factors 558,194 . The biggest common factor number is the GCF number.
So the greatest common factor 558,194 is 2.


Lets's calculate LCM of 38,4265

Lowest Common Multiple of 38,4265 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 162070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162070

Therefore, the GCF of Fractions 558/38,194/4265 is 2/162070

Least Common Multiple of 38,4265 with GCF Formula

Least Common Multiple of 38,4265 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 38,4265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,4265) = 1

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

GCF(38,4265) x common factors =1 x 1 = 1

LCM(38,4265) = ( 38 × 4265 ) / 1

LCM(38,4265) = 162070 / 1

LCM(38,4265) = 162070


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 558/38, 194/4265

1. What is the HCF of 558,194?

The HCF of 558,194 is 2

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 558/38, 194/4265?

Answer: GCF of Numerators as per given numbers 558/38, 194/4265 is

GCF of Numerators i.e. for 558,194 is 2

LCM of denominators i.e. for 38,4265 is 162070.

Thus, GCF of Fractions is 2/162070.Finally, GCF of Fractions for 558/38, 194/4265 is 2/162070.