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GCF of 601/28, 514/180

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 601/28, 514/180 i.e 1/1260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/28, 514/180.

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 601/28,514/180?

Given fractions are 601/28,514/180

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 601/28,514/180, numerators are 601,514

Denominators are 28,180

The GCF of 601,514 is 1 .

LCM of 28,180 is 1260.

The greatest common factor of 601/28,514/180 = [GCF of 601,514]/[LCM of 28,180]= 1/1260

Therefore, the GCF of 601/28,514/180 is 1/1260.

Greatest Common Factor of 601,514

To find the highest common factor of 601,514, we have to find the factors of both numbers and list the highest common factor.

The factors of 601 are 1, 601

The factors of 514 are 1, 2, 257, 514

The HCF of 601,514 is 1.

Lets's calculate GCF of 601,514

Greatest Common Factor (GCF) of 601,514 By Common Division

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

Greatest Common Factor of 601,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,514 By Matching Biggest Common Factor Method

Now, list down the factors of 601

:

1,601

Now, list down the factors of 514

:

1,2,257,514

Greatest Common Factor

We found the factors 601,514 . The biggest common factor number is the GCF number.
So the greatest common factor 601,514 is 1.

Lets's calculate LCM of 28,180

Lowest Common Multiple of 28,180 using Common Division

2 28, 180
2 14, 90
7, 45

∴ So the LCM of the given numbers is 2 x 2 x 7 x 45 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260

Therefore, the GCF of Fractions 601/28,514/180 is 1/1260

Least Common Multiple of 28,180 with GCF Formula

Least Common Multiple of 28,180 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 28,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,180) = 4

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

GCF(28,180) x common factors =4 x 1 = 4

LCM(28,180) = ( 28 × 180 ) / 4

LCM(28,180) = 5040 / 4

LCM(28,180) = 1260


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FAQs on GCF of Fractions of 601/28, 514/180

1. What is the HCF of 601,514?

The HCF of 601,514 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 601/28, 514/180?

Answer: GCF of Numerators as per given numbers 601/28, 514/180 is

GCF of Numerators i.e. for 601,514 is 1

LCM of denominators i.e. for 28,180 is 1260.

Thus, GCF of Fractions is 1/1260.Finally, GCF of Fractions for 601/28, 514/180 is 1/1260.