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GCF of 341/58, 482/9566

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 341/58, 482/9566 i.e 1/277414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/58, 482/9566.

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 341/58,482/9566?

Given fractions are 341/58,482/9566

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 341/58,482/9566, numerators are 341,482

Denominators are 58,9566

The GCF of 341,482 is 1 .

LCM of 58,9566 is 277414.

The greatest common factor of 341/58,482/9566 = [GCF of 341,482]/[LCM of 58,9566]= 1/277414

Therefore, the GCF of 341/58,482/9566 is 1/277414.

Greatest Common Factor of 341,482

To find the highest common factor of 341,482, 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 482 are 1, 2, 241, 482

The HCF of 341,482 is 1.

Lets's calculate GCF of 341,482

Greatest Common Factor (GCF) of 341,482 By Common Division

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

Greatest Common Factor of 341,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,482 By Matching Biggest Common Factor Method

Now, list down the factors of 341

:

1,11,31,341

Now, list down the factors of 482

:

1,2,241,482

Greatest Common Factor

We found the factors 341,482 . The biggest common factor number is the GCF number.
So the greatest common factor 341,482 is 1.

Lets's calculate LCM of 58,9566

Lowest Common Multiple of 58,9566 using Common Division

2 58, 9566
29, 4783

∴ So the LCM of the given numbers is 2 x 29 x 4783 = 277414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277414

Therefore, the GCF of Fractions 341/58,482/9566 is 1/277414

Least Common Multiple of 58,9566 with GCF Formula

Least Common Multiple of 58,9566 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 58,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,9566) = 2

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

GCF(58,9566) x common factors =2 x 1 = 2

LCM(58,9566) = ( 58 × 9566 ) / 2

LCM(58,9566) = 554828 / 2

LCM(58,9566) = 277414


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FAQs on GCF of Fractions of 341/58, 482/9566

1. What is the HCF of 341,482?

The HCF of 341,482 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 341/58, 482/9566?

Answer: GCF of Numerators as per given numbers 341/58, 482/9566 is

GCF of Numerators i.e. for 341,482 is 1

LCM of denominators i.e. for 58,9566 is 277414.

Thus, GCF of Fractions is 1/277414.Finally, GCF of Fractions for 341/58, 482/9566 is 1/277414.