Greatest Common Factor of 76/11, 49/164, 304/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/11, 49/164, 304/234

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 76/11,49/164,304/234

Given fractions are 76/11,49/164,304/234

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 76,49,304

Greatest Common Factor of Numerators i.e. GCF of 76,49,304 is 1 .

LCM of Denominators means LCM of 11,164,234 as per the given fractions.

LCM of 11,164,234 is 211068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,49,304

GCF of Fractions 76/11,49/164,304/234 is 1/211068

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

Greatest Common Factor of 76,49,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,49,304 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 76,49,304 . The biggest common factor number is the GCF number.
So the greatest common factor 76,49,304 is 1.

Lets's calculate LCM of 11,164,234

2 11, 164, 234
11, 82, 117

∴ So the LCM of the given numbers is 2 x 11 x 82 x 117 = 211068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211068

Therefore, the GCF of Fractions 76/11,49/164,304/234 is 1/211068

Least Common Multiple of 11,164,234 with GCF Formula

Least Common Multiple of 11,164,234 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 11,164,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,164,234) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,164,234) x common factors =1 x 2 = 2

LCM(11,164,234) = ( 11 × 164 × 234 ) / 2

LCM(11,164,234) = 422136 / 2

LCM(11,164,234) = 211068


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 76/11, 49/164, 304/234

1. 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.

2. What is the GCF of Fractions for 76/11, 49/164, 304/234?

Answer: GCF of Numerators as per given numbers 76/11, 49/164, 304/234 is

GCF of Numerators i.e. for 76,49,304 is 1

LCM of denominators i.e. for 11,164,234 is 211068.

Thus, GCF of Fractions is 1/211068.Finally, GCF of Fractions for 76/11, 49/164, 304/234 is 1/211068.