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GCF of 503/20, 269/170

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 503/20, 269/170 i.e 1/340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/20, 269/170.

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 503/20,269/170?

Given fractions are 503/20,269/170

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 503/20,269/170, numerators are 503,269

Denominators are 20,170

The GCF of 503,269 is 1 .

LCM of 20,170 is 340.

The greatest common factor of 503/20,269/170 = [GCF of 503,269]/[LCM of 20,170]= 1/340

Therefore, the GCF of 503/20,269/170 is 1/340.

Greatest Common Factor of 503,269

To find the highest common factor of 503,269, we have to find the factors of both numbers and list the highest common factor.

The factors of 503 are 1, 503

The factors of 269 are 1, 269

The HCF of 503,269 is 1.

Lets's calculate GCF of 503,269

Greatest Common Factor (GCF) of 503,269 By Common Division

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

Greatest Common Factor of 503,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,269 By Matching Biggest Common Factor Method

Now, list down the factors of 503

:

1,503

Now, list down the factors of 269

:

1,269

Greatest Common Factor

We found the factors 503,269 . The biggest common factor number is the GCF number.
So the greatest common factor 503,269 is 1.

Lets's calculate LCM of 20,170

Lowest Common Multiple of 20,170 using Common Division

2 20, 170
5 10, 85
2, 17

∴ So the LCM of the given numbers is 2 x 5 x 2 x 17 = 340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340

Therefore, the GCF of Fractions 503/20,269/170 is 1/340

Least Common Multiple of 20,170 with GCF Formula

Least Common Multiple of 20,170 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 20,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,170) = 10

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

GCF(20,170) x common factors =10 x 1 = 10

LCM(20,170) = ( 20 × 170 ) / 10

LCM(20,170) = 3400 / 10

LCM(20,170) = 340


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FAQs on GCF of Fractions of 503/20, 269/170

1. What is the HCF of 503,269?

The HCF of 503,269 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 503/20, 269/170?

Answer: GCF of Numerators as per given numbers 503/20, 269/170 is

GCF of Numerators i.e. for 503,269 is 1

LCM of denominators i.e. for 20,170 is 340.

Thus, GCF of Fractions is 1/340.Finally, GCF of Fractions for 503/20, 269/170 is 1/340.