How to Find GCF of 3148/428, 1804/324?

GCF of 3148/428, 1804/324

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 3148/428, 1804/324 i.e 4/34668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3148/428, 1804/324.

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 3148/428,1804/324?

Given fractions are 3148/428,1804/324

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 3148/428,1804/324, numerators are 3148,1804

Denominators are 428,324

The GCF of 3148,1804 is 4 .

LCM of 428,324 is 34668.

The greatest common factor of 3148/428,1804/324 = [GCF of 3148,1804]/[LCM of 428,324]= 4/34668

Therefore, the GCF of 3148/428,1804/324 is 4/34668.

Greatest Common Factor of 3148,1804

To find the highest common factor of 3148,1804, we have to find the factors of both numbers and list the highest common factor.

The factors of 3148 are 1, 2, 4, 787, 1574, 3148

The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804

The HCF of 3148,1804 is 4.

Lets's calculate GCF of 3148,1804

Greatest Common Factor (GCF) of 3148,1804 By Common Division

2	3148, 1804
2	1574, 902
	787, 451

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3148,1804 By Matching Biggest Common Factor Method

Now, list down the factors of 3148

1,2,4,787,1574,3148

Now, list down the factors of 1804

1,2,4,11,22,41,44,82,164,451,902,1804

Greatest Common Factor

We found the factors 3148,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 3148,1804 is 4.

Lets's calculate LCM of 428,324

Lowest Common Multiple of 428,324 using Common Division

2	428, 324
2	214, 162
	107, 81

∴ So the LCM of the given numbers is 2 x 2 x 107 x 81 = 34668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34668

Therefore, the GCF of Fractions 3148/428,1804/324 is 4/34668

Least Common Multiple of 428,324 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 428,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,324) = 4

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

GCF(428,324) x common factors =4 x 1 = 4

LCM(428,324) = ( 428 × 324 ) / 4

LCM(428,324) = 138672 / 4

LCM(428,324) = 34668

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FAQs on GCF of Fractions of 3148/428, 1804/324

1. What is the HCF of 3148,1804?

The HCF of 3148,1804 is 4

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 3148/428, 1804/324?

Answer: GCF of Numerators as per given numbers 3148/428, 1804/324 is

GCF of Numerators i.e. for 3148,1804 is 4

LCM of denominators i.e. for 428,324 is 34668.

Thus, GCF of Fractions is 4/34668.Finally, GCF of Fractions for 3148/428, 1804/324 is 4/34668.