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GCF of 342/177, 526/179

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 342/177, 526/179 i.e 2/31683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/177, 526/179.

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 342/177,526/179?

Given fractions are 342/177,526/179

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 342/177,526/179, numerators are 342,526

Denominators are 177,179

The GCF of 342,526 is 2 .

LCM of 177,179 is 31683.

The greatest common factor of 342/177,526/179 = [GCF of 342,526]/[LCM of 177,179]= 2/31683

Therefore, the GCF of 342/177,526/179 is 2/31683.

Greatest Common Factor of 342,526

To find the highest common factor of 342,526, we have to find the factors of both numbers and list the highest common factor.

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

The factors of 526 are 1, 2, 263, 526

The HCF of 342,526 is 2.

Lets's calculate GCF of 342,526

Greatest Common Factor (GCF) of 342,526 By Common Division

2 342, 526
171, 263

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

Greatest Common Factor of 342,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,526 By Matching Biggest Common Factor Method

Now, list down the factors of 342

:

1,2,3,6,9,18,19,38,57,114,171,342

Now, list down the factors of 526

:

1,2,263,526

Greatest Common Factor

We found the factors 342,526 . The biggest common factor number is the GCF number.
So the greatest common factor 342,526 is 2.

Lets's calculate LCM of 177,179

Lowest Common Multiple of 177,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31683

Therefore, the GCF of Fractions 342/177,526/179 is 2/31683

Least Common Multiple of 177,179 with GCF Formula

Least Common Multiple of 177,179 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 177,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,179) = 1

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

GCF(177,179) x common factors =1 x 1 = 1

LCM(177,179) = ( 177 × 179 ) / 1

LCM(177,179) = 31683 / 1

LCM(177,179) = 31683


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FAQs on GCF of Fractions of 342/177, 526/179

1. What is the HCF of 342,526?

The HCF of 342,526 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 342/177, 526/179?

Answer: GCF of Numerators as per given numbers 342/177, 526/179 is

GCF of Numerators i.e. for 342,526 is 2

LCM of denominators i.e. for 177,179 is 31683.

Thus, GCF of Fractions is 2/31683.Finally, GCF of Fractions for 342/177, 526/179 is 2/31683.