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GCF of 30/296, 6482/1354

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 30/296, 6482/1354 i.e 2/200392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/296, 6482/1354.

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 30/296,6482/1354?

Given fractions are 30/296,6482/1354

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 30/296,6482/1354, numerators are 30,6482

Denominators are 296,1354

The GCF of 30,6482 is 2 .

LCM of 296,1354 is 200392.

The greatest common factor of 30/296,6482/1354 = [GCF of 30,6482]/[LCM of 296,1354]= 2/200392

Therefore, the GCF of 30/296,6482/1354 is 2/200392.

Greatest Common Factor of 30,6482

To find the highest common factor of 30,6482, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 6482 are 1, 2, 7, 14, 463, 926, 3241, 6482

The HCF of 30,6482 is 2.

Lets's calculate GCF of 30,6482

Greatest Common Factor (GCF) of 30,6482 By Common Division

2 30, 6482
15, 3241

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

Greatest Common Factor of 30,6482 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,6482 By Matching Biggest Common Factor Method

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Now, list down the factors of 6482

:

1,2,7,14,463,926,3241,6482

Greatest Common Factor

We found the factors 30,6482 . The biggest common factor number is the GCF number.
So the greatest common factor 30,6482 is 2.

Lets's calculate LCM of 296,1354

Lowest Common Multiple of 296,1354 using Common Division

2 296, 1354
148, 677

∴ So the LCM of the given numbers is 2 x 148 x 677 = 200392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/200392

Therefore, the GCF of Fractions 30/296,6482/1354 is 2/200392

Least Common Multiple of 296,1354 with GCF Formula

Least Common Multiple of 296,1354 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 296,1354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,1354) = 2

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

GCF(296,1354) x common factors =2 x 1 = 2

LCM(296,1354) = ( 296 × 1354 ) / 2

LCM(296,1354) = 400784 / 2

LCM(296,1354) = 200392


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FAQs on GCF of Fractions of 30/296, 6482/1354

1. What is the HCF of 30,6482?

The HCF of 30,6482 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 30/296, 6482/1354?

Answer: GCF of Numerators as per given numbers 30/296, 6482/1354 is

GCF of Numerators i.e. for 30,6482 is 2

LCM of denominators i.e. for 296,1354 is 200392.

Thus, GCF of Fractions is 2/200392.Finally, GCF of Fractions for 30/296, 6482/1354 is 2/200392.