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GCF of 190/562, 493/304

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 190/562, 493/304 i.e 1/85424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/562, 493/304.

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 190/562,493/304?

Given fractions are 190/562,493/304

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 190/562,493/304, numerators are 190,493

Denominators are 562,304

The GCF of 190,493 is 1 .

LCM of 562,304 is 85424.

The greatest common factor of 190/562,493/304 = [GCF of 190,493]/[LCM of 562,304]= 1/85424

Therefore, the GCF of 190/562,493/304 is 1/85424.

Greatest Common Factor of 190,493

To find the highest common factor of 190,493, we have to find the factors of both numbers and list the highest common factor.

The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190

The factors of 493 are 1, 17, 29, 493

The HCF of 190,493 is 1.

Lets's calculate GCF of 190,493

Greatest Common Factor (GCF) of 190,493 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 190,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,493 By Matching Biggest Common Factor Method

Now, list down the factors of 190

:

1,2,5,10,19,38,95,190

Now, list down the factors of 493

:

1,17,29,493

Greatest Common Factor

We found the factors 190,493 . The biggest common factor number is the GCF number.
So the greatest common factor 190,493 is 1.

Lets's calculate LCM of 562,304

Lowest Common Multiple of 562,304 using Common Division

2 562, 304
281, 152

∴ So the LCM of the given numbers is 2 x 281 x 152 = 85424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85424

Therefore, the GCF of Fractions 190/562,493/304 is 1/85424

Least Common Multiple of 562,304 with GCF Formula

Least Common Multiple of 562,304 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 562,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,304) = 2

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

GCF(562,304) x common factors =2 x 1 = 2

LCM(562,304) = ( 562 × 304 ) / 2

LCM(562,304) = 170848 / 2

LCM(562,304) = 85424


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FAQs on GCF of Fractions of 190/562, 493/304

1. What is the HCF of 190,493?

The HCF of 190,493 is 1

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 190/562, 493/304?

Answer: GCF of Numerators as per given numbers 190/562, 493/304 is

GCF of Numerators i.e. for 190,493 is 1

LCM of denominators i.e. for 562,304 is 85424.

Thus, GCF of Fractions is 1/85424.Finally, GCF of Fractions for 190/562, 493/304 is 1/85424.