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GCF of 509/151, 597/200

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 509/151, 597/200 i.e 1/30200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 509/151, 597/200.

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 509/151,597/200?

Given fractions are 509/151,597/200

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 509/151,597/200, numerators are 509,597

Denominators are 151,200

The GCF of 509,597 is 1 .

LCM of 151,200 is 30200.

The greatest common factor of 509/151,597/200 = [GCF of 509,597]/[LCM of 151,200]= 1/30200

Therefore, the GCF of 509/151,597/200 is 1/30200.

Greatest Common Factor of 509,597

To find the highest common factor of 509,597, we have to find the factors of both numbers and list the highest common factor.

The factors of 509 are 1, 509

The factors of 597 are 1, 3, 199, 597

The HCF of 509,597 is 1.

Lets's calculate GCF of 509,597

Greatest Common Factor (GCF) of 509,597 By Common Division

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

Greatest Common Factor of 509,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,597 By Matching Biggest Common Factor Method

Now, list down the factors of 509

:

1,509

Now, list down the factors of 597

:

1,3,199,597

Greatest Common Factor

We found the factors 509,597 . The biggest common factor number is the GCF number.
So the greatest common factor 509,597 is 1.

Lets's calculate LCM of 151,200

Lowest Common Multiple of 151,200 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30200

Therefore, the GCF of Fractions 509/151,597/200 is 1/30200

Least Common Multiple of 151,200 with GCF Formula

Least Common Multiple of 151,200 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 151,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,200) = 1

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

GCF(151,200) x common factors =1 x 1 = 1

LCM(151,200) = ( 151 × 200 ) / 1

LCM(151,200) = 30200 / 1

LCM(151,200) = 30200


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FAQs on GCF of Fractions of 509/151, 597/200

1. What is the HCF of 509,597?

The HCF of 509,597 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 509/151, 597/200?

Answer: GCF of Numerators as per given numbers 509/151, 597/200 is

GCF of Numerators i.e. for 509,597 is 1

LCM of denominators i.e. for 151,200 is 30200.

Thus, GCF of Fractions is 1/30200.Finally, GCF of Fractions for 509/151, 597/200 is 1/30200.