How to Find GCF of 467/296, 6696/472?

GCF of 467/296, 6696/472

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 467/296, 6696/472 i.e 1/17464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/296, 6696/472.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 467/296,6696/472?

Given fractions are 467/296,6696/472

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 467/296,6696/472, numerators are 467,6696

Denominators are 296,472

The GCF of 467,6696 is 1 .

LCM of 296,472 is 17464.

The greatest common factor of 467/296,6696/472 = [GCF of 467,6696]/[LCM of 296,472]= 1/17464

Therefore, the GCF of 467/296,6696/472 is 1/17464.

Greatest Common Factor of 467,6696

To find the highest common factor of 467,6696, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

The factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696

The HCF of 467,6696 is 1.

Lets's calculate GCF of 467,6696

Greatest Common Factor (GCF) of 467,6696 By Common Division

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

Greatest Common Factor of 467,6696 By Matching Biggest Common Factor Method

Now, list down the factors of 467

1,467

Now, list down the factors of 6696

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

Greatest Common Factor

We found the factors 467,6696 . The biggest common factor number is the GCF number.
So the greatest common factor 467,6696 is 1.

Lets's calculate LCM of 296,472

Lowest Common Multiple of 296,472 using Common Division

2	296, 472
2	148, 236
2	74, 118
	37, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 59 = 17464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17464

Therefore, the GCF of Fractions 467/296,6696/472 is 1/17464

Least Common Multiple of 296,472 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 296,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,472) = 8

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

GCF(296,472) x common factors =8 x 1 = 8

LCM(296,472) = ( 296 × 472 ) / 8

LCM(296,472) = 139712 / 8

LCM(296,472) = 17464

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FAQs on GCF of Fractions of 467/296, 6696/472

1. What is the HCF of 467,6696?

The HCF of 467,6696 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 467/296, 6696/472?

Answer: GCF of Numerators as per given numbers 467/296, 6696/472 is

GCF of Numerators i.e. for 467,6696 is 1

LCM of denominators i.e. for 296,472 is 17464.

Thus, GCF of Fractions is 1/17464.Finally, GCF of Fractions for 467/296, 6696/472 is 1/17464.