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GCF of 341/95, 223/598

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 341/95, 223/598 i.e 1/56810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/95, 223/598.

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 341/95,223/598?

Given fractions are 341/95,223/598

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 341/95,223/598, numerators are 341,223

Denominators are 95,598

The GCF of 341,223 is 1 .

LCM of 95,598 is 56810.

The greatest common factor of 341/95,223/598 = [GCF of 341,223]/[LCM of 95,598]= 1/56810

Therefore, the GCF of 341/95,223/598 is 1/56810.

Greatest Common Factor of 341,223

To find the highest common factor of 341,223, we have to find the factors of both numbers and list the highest common factor.

The factors of 341 are 1, 11, 31, 341

The factors of 223 are 1, 223

The HCF of 341,223 is 1.

Lets's calculate GCF of 341,223

Greatest Common Factor (GCF) of 341,223 By Common Division

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

Greatest Common Factor of 341,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,223 By Matching Biggest Common Factor Method

Now, list down the factors of 341

:

1,11,31,341

Now, list down the factors of 223

:

1,223

Greatest Common Factor

We found the factors 341,223 . The biggest common factor number is the GCF number.
So the greatest common factor 341,223 is 1.

Lets's calculate LCM of 95,598

Lowest Common Multiple of 95,598 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56810

Therefore, the GCF of Fractions 341/95,223/598 is 1/56810

Least Common Multiple of 95,598 with GCF Formula

Least Common Multiple of 95,598 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 95,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,598) = 1

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

GCF(95,598) x common factors =1 x 1 = 1

LCM(95,598) = ( 95 × 598 ) / 1

LCM(95,598) = 56810 / 1

LCM(95,598) = 56810


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FAQs on GCF of Fractions of 341/95, 223/598

1. What is the HCF of 341,223?

The HCF of 341,223 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 341/95, 223/598?

Answer: GCF of Numerators as per given numbers 341/95, 223/598 is

GCF of Numerators i.e. for 341,223 is 1

LCM of denominators i.e. for 95,598 is 56810.

Thus, GCF of Fractions is 1/56810.Finally, GCF of Fractions for 341/95, 223/598 is 1/56810.