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GCF of 932/32, 406/188

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 932/32, 406/188 i.e 2/1504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 932/32, 406/188.

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 932/32,406/188?

Given fractions are 932/32,406/188

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 932/32,406/188, numerators are 932,406

Denominators are 32,188

The GCF of 932,406 is 2 .

LCM of 32,188 is 1504.

The greatest common factor of 932/32,406/188 = [GCF of 932,406]/[LCM of 32,188]= 2/1504

Therefore, the GCF of 932/32,406/188 is 2/1504.

Greatest Common Factor of 932,406

To find the highest common factor of 932,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 932 are 1, 2, 4, 233, 466, 932

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 932,406 is 2.

Lets's calculate GCF of 932,406

Greatest Common Factor (GCF) of 932,406 By Common Division

2 932, 406
466, 203

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

Greatest Common Factor of 932,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,406 By Matching Biggest Common Factor Method

Now, list down the factors of 932

:

1,2,4,233,466,932

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 932,406 . The biggest common factor number is the GCF number.
So the greatest common factor 932,406 is 2.

Lets's calculate LCM of 32,188

Lowest Common Multiple of 32,188 using Common Division

2 32, 188
2 16, 94
8, 47

∴ So the LCM of the given numbers is 2 x 2 x 8 x 47 = 1504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1504

Therefore, the GCF of Fractions 932/32,406/188 is 2/1504

Least Common Multiple of 32,188 with GCF Formula

Least Common Multiple of 32,188 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 32,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,188) = 4

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

GCF(32,188) x common factors =4 x 1 = 4

LCM(32,188) = ( 32 × 188 ) / 4

LCM(32,188) = 6016 / 4

LCM(32,188) = 1504


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FAQs on GCF of Fractions of 932/32, 406/188

1. What is the HCF of 932,406?

The HCF of 932,406 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 932/32, 406/188?

Answer: GCF of Numerators as per given numbers 932/32, 406/188 is

GCF of Numerators i.e. for 932,406 is 2

LCM of denominators i.e. for 32,188 is 1504.

Thus, GCF of Fractions is 2/1504.Finally, GCF of Fractions for 932/32, 406/188 is 2/1504.