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GCF of 732/946, 339/344

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 732/946, 339/344 i.e 3/3784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/946, 339/344.

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 732/946,339/344?

Given fractions are 732/946,339/344

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 732/946,339/344, numerators are 732,339

Denominators are 946,344

The GCF of 732,339 is 3 .

LCM of 946,344 is 3784.

The greatest common factor of 732/946,339/344 = [GCF of 732,339]/[LCM of 946,344]= 3/3784

Therefore, the GCF of 732/946,339/344 is 3/3784.

Greatest Common Factor of 732,339

To find the highest common factor of 732,339, we have to find the factors of both numbers and list the highest common factor.

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The factors of 339 are 1, 3, 113, 339

The HCF of 732,339 is 3.

Lets's calculate GCF of 732,339

Greatest Common Factor (GCF) of 732,339 By Common Division

3 732, 339
244, 113

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 732,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,339 By Matching Biggest Common Factor Method

Now, list down the factors of 732

:

1,2,3,4,6,12,61,122,183,244,366,732

Now, list down the factors of 339

:

1,3,113,339

Greatest Common Factor

We found the factors 732,339 . The biggest common factor number is the GCF number.
So the greatest common factor 732,339 is 3.


Lets's calculate LCM of 946,344

Lowest Common Multiple of 946,344 using Common Division

2 946, 344
43 473, 172
11, 4

∴ So the LCM of the given numbers is 2 x 43 x 11 x 4 = 3784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3784

Therefore, the GCF of Fractions 732/946,339/344 is 3/3784

Least Common Multiple of 946,344 with GCF Formula

Least Common Multiple of 946,344 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 946,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,344) = 86

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

GCF(946,344) x common factors =86 x 1 = 86

LCM(946,344) = ( 946 × 344 ) / 86

LCM(946,344) = 325424 / 86

LCM(946,344) = 3784


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 732/946, 339/344

1. What is the HCF of 732,339?

The HCF of 732,339 is 3

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 732/946, 339/344?

Answer: GCF of Numerators as per given numbers 732/946, 339/344 is

GCF of Numerators i.e. for 732,339 is 3

LCM of denominators i.e. for 946,344 is 3784.

Thus, GCF of Fractions is 3/3784.Finally, GCF of Fractions for 732/946, 339/344 is 3/3784.