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GCF of 148/324, 3166/7324

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 148/324, 3166/7324 i.e 2/593244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/324, 3166/7324.

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 148/324,3166/7324?

Given fractions are 148/324,3166/7324

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 148/324,3166/7324, numerators are 148,3166

Denominators are 324,7324

The GCF of 148,3166 is 2 .

LCM of 324,7324 is 593244.

The greatest common factor of 148/324,3166/7324 = [GCF of 148,3166]/[LCM of 324,7324]= 2/593244

Therefore, the GCF of 148/324,3166/7324 is 2/593244.

Greatest Common Factor of 148,3166

To find the highest common factor of 148,3166, we have to find the factors of both numbers and list the highest common factor.

The factors of 148 are 1, 2, 4, 37, 74, 148

The factors of 3166 are 1, 2, 1583, 3166

The HCF of 148,3166 is 2.

Lets's calculate GCF of 148,3166

Greatest Common Factor (GCF) of 148,3166 By Common Division

2 148, 3166
74, 1583

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

Greatest Common Factor of 148,3166 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,3166 By Matching Biggest Common Factor Method

Now, list down the factors of 148

:

1,2,4,37,74,148

Now, list down the factors of 3166

:

1,2,1583,3166

Greatest Common Factor

We found the factors 148,3166 . The biggest common factor number is the GCF number.
So the greatest common factor 148,3166 is 2.

Lets's calculate LCM of 324,7324

Lowest Common Multiple of 324,7324 using Common Division

2 324, 7324
2 162, 3662
81, 1831

∴ So the LCM of the given numbers is 2 x 2 x 81 x 1831 = 593244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/593244

Therefore, the GCF of Fractions 148/324,3166/7324 is 2/593244

Least Common Multiple of 324,7324 with GCF Formula

Least Common Multiple of 324,7324 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 324,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,7324) = 4

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

GCF(324,7324) x common factors =4 x 1 = 4

LCM(324,7324) = ( 324 × 7324 ) / 4

LCM(324,7324) = 2372976 / 4

LCM(324,7324) = 593244


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FAQs on GCF of Fractions of 148/324, 3166/7324

1. What is the HCF of 148,3166?

The HCF of 148,3166 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 148/324, 3166/7324?

Answer: GCF of Numerators as per given numbers 148/324, 3166/7324 is

GCF of Numerators i.e. for 148,3166 is 2

LCM of denominators i.e. for 324,7324 is 593244.

Thus, GCF of Fractions is 2/593244.Finally, GCF of Fractions for 148/324, 3166/7324 is 2/593244.