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GCF of 503/697, 380/906

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 503/697, 380/906 i.e 1/631482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/697, 380/906.

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 503/697,380/906?

Given fractions are 503/697,380/906

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 503/697,380/906, numerators are 503,380

Denominators are 697,906

The GCF of 503,380 is 1 .

LCM of 697,906 is 631482.

The greatest common factor of 503/697,380/906 = [GCF of 503,380]/[LCM of 697,906]= 1/631482

Therefore, the GCF of 503/697,380/906 is 1/631482.

Greatest Common Factor of 503,380

To find the highest common factor of 503,380, 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 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

The HCF of 503,380 is 1.

Lets's calculate GCF of 503,380

Greatest Common Factor (GCF) of 503,380 By Common Division

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

Greatest Common Factor of 503,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,380 By Matching Biggest Common Factor Method

Now, list down the factors of 503

:

1,503

Now, list down the factors of 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 503,380 . The biggest common factor number is the GCF number.
So the greatest common factor 503,380 is 1.

Lets's calculate LCM of 697,906

Lowest Common Multiple of 697,906 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 631482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631482

Therefore, the GCF of Fractions 503/697,380/906 is 1/631482

Least Common Multiple of 697,906 with GCF Formula

Least Common Multiple of 697,906 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 697,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,906) = 1

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

GCF(697,906) x common factors =1 x 1 = 1

LCM(697,906) = ( 697 × 906 ) / 1

LCM(697,906) = 631482 / 1

LCM(697,906) = 631482


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FAQs on GCF of Fractions of 503/697, 380/906

1. What is the HCF of 503,380?

The HCF of 503,380 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 503/697, 380/906?

Answer: GCF of Numerators as per given numbers 503/697, 380/906 is

GCF of Numerators i.e. for 503,380 is 1

LCM of denominators i.e. for 697,906 is 631482.

Thus, GCF of Fractions is 1/631482.Finally, GCF of Fractions for 503/697, 380/906 is 1/631482.