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GCF of 168/41, 639/829

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 168/41, 639/829 i.e 3/33989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/41, 639/829.

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 168/41,639/829?

Given fractions are 168/41,639/829

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 168/41,639/829, numerators are 168,639

Denominators are 41,829

The GCF of 168,639 is 3 .

LCM of 41,829 is 33989.

The greatest common factor of 168/41,639/829 = [GCF of 168,639]/[LCM of 41,829]= 3/33989

Therefore, the GCF of 168/41,639/829 is 3/33989.

Greatest Common Factor of 168,639

To find the highest common factor of 168,639, we have to find the factors of both numbers and list the highest common factor.

The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The factors of 639 are 1, 3, 9, 71, 213, 639

The HCF of 168,639 is 3.

Lets's calculate GCF of 168,639

Greatest Common Factor (GCF) of 168,639 By Common Division

3 168, 639
56, 213

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

Greatest Common Factor of 168,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,639 By Matching Biggest Common Factor Method

Now, list down the factors of 168

:

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Now, list down the factors of 639

:

1,3,9,71,213,639

Greatest Common Factor

We found the factors 168,639 . The biggest common factor number is the GCF number.
So the greatest common factor 168,639 is 3.


Lets's calculate LCM of 41,829

Lowest Common Multiple of 41,829 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33989

Therefore, the GCF of Fractions 168/41,639/829 is 3/33989

Least Common Multiple of 41,829 with GCF Formula

Least Common Multiple of 41,829 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 41,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,829) = 1

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

GCF(41,829) x common factors =1 x 1 = 1

LCM(41,829) = ( 41 × 829 ) / 1

LCM(41,829) = 33989 / 1

LCM(41,829) = 33989


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 168/41, 639/829

1. What is the HCF of 168,639?

The HCF of 168,639 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 168/41, 639/829?

Answer: GCF of Numerators as per given numbers 168/41, 639/829 is

GCF of Numerators i.e. for 168,639 is 3

LCM of denominators i.e. for 41,829 is 33989.

Thus, GCF of Fractions is 3/33989.Finally, GCF of Fractions for 168/41, 639/829 is 3/33989.