How to Find GCF of 832/632, 406/148?

GCF of 832/632, 406/148

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 832/632, 406/148 i.e 2/23384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/632, 406/148.

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 832/632,406/148?

Given fractions are 832/632,406/148

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 832/632,406/148, numerators are 832,406

Denominators are 632,148

The GCF of 832,406 is 2 .

LCM of 632,148 is 23384.

The greatest common factor of 832/632,406/148 = [GCF of 832,406]/[LCM of 632,148]= 2/23384

Therefore, the GCF of 832/632,406/148 is 2/23384.

Greatest Common Factor of 832,406

To find the highest common factor of 832,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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

The HCF of 832,406 is 2.

Lets's calculate GCF of 832,406

Greatest Common Factor (GCF) of 832,406 By Common Division

2	832, 406
	416, 203

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

Greatest Common Factor of 832,406 By Matching Biggest Common Factor Method

Now, list down the factors of 832

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Now, list down the factors of 406

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

Greatest Common Factor

We found the factors 832,406 . The biggest common factor number is the GCF number.
So the greatest common factor 832,406 is 2.

Lets's calculate LCM of 632,148

Lowest Common Multiple of 632,148 using Common Division

2	632, 148
2	316, 74
	158, 37

∴ So the LCM of the given numbers is 2 x 2 x 158 x 37 = 23384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23384

Therefore, the GCF of Fractions 832/632,406/148 is 2/23384

Least Common Multiple of 632,148 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 632,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,148) = 4

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

GCF(632,148) x common factors =4 x 1 = 4

LCM(632,148) = ( 632 × 148 ) / 4

LCM(632,148) = 93536 / 4

LCM(632,148) = 23384

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FAQs on GCF of Fractions of 832/632, 406/148

1. What is the HCF of 832,406?

The HCF of 832,406 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 832/632, 406/148?

Answer: GCF of Numerators as per given numbers 832/632, 406/148 is

GCF of Numerators i.e. for 832,406 is 2

LCM of denominators i.e. for 632,148 is 23384.

Thus, GCF of Fractions is 2/23384.Finally, GCF of Fractions for 832/632, 406/148 is 2/23384.