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GCF of 177/68, 373/180

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 177/68, 373/180 i.e 1/3060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/68, 373/180.

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 177/68,373/180?

Given fractions are 177/68,373/180

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 177/68,373/180, numerators are 177,373

Denominators are 68,180

The GCF of 177,373 is 1 .

LCM of 68,180 is 3060.

The greatest common factor of 177/68,373/180 = [GCF of 177,373]/[LCM of 68,180]= 1/3060

Therefore, the GCF of 177/68,373/180 is 1/3060.

Greatest Common Factor of 177,373

To find the highest common factor of 177,373, we have to find the factors of both numbers and list the highest common factor.

The factors of 177 are 1, 3, 59, 177

The factors of 373 are 1, 373

The HCF of 177,373 is 1.

Lets's calculate GCF of 177,373

Greatest Common Factor (GCF) of 177,373 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 177,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,373 By Matching Biggest Common Factor Method

Now, list down the factors of 177

:

1,3,59,177

Now, list down the factors of 373

:

1,373

Greatest Common Factor

We found the factors 177,373 . The biggest common factor number is the GCF number.
So the greatest common factor 177,373 is 1.

Lets's calculate LCM of 68,180

Lowest Common Multiple of 68,180 using Common Division

2 68, 180
2 34, 90
17, 45

∴ So the LCM of the given numbers is 2 x 2 x 17 x 45 = 3060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3060

Therefore, the GCF of Fractions 177/68,373/180 is 1/3060

Least Common Multiple of 68,180 with GCF Formula

Least Common Multiple of 68,180 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 68,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,180) = 4

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

GCF(68,180) x common factors =4 x 1 = 4

LCM(68,180) = ( 68 × 180 ) / 4

LCM(68,180) = 12240 / 4

LCM(68,180) = 3060


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FAQs on GCF of Fractions of 177/68, 373/180

1. What is the HCF of 177,373?

The HCF of 177,373 is 1

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 177/68, 373/180?

Answer: GCF of Numerators as per given numbers 177/68, 373/180 is

GCF of Numerators i.e. for 177,373 is 1

LCM of denominators i.e. for 68,180 is 3060.

Thus, GCF of Fractions is 1/3060.Finally, GCF of Fractions for 177/68, 373/180 is 1/3060.