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GCF of 497/470, 773/200

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 497/470, 773/200 i.e 1/9400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/470, 773/200.

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 497/470,773/200?

Given fractions are 497/470,773/200

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 497/470,773/200, numerators are 497,773

Denominators are 470,200

The GCF of 497,773 is 1 .

LCM of 470,200 is 9400.

The greatest common factor of 497/470,773/200 = [GCF of 497,773]/[LCM of 470,200]= 1/9400

Therefore, the GCF of 497/470,773/200 is 1/9400.

Greatest Common Factor of 497,773

To find the highest common factor of 497,773, we have to find the factors of both numbers and list the highest common factor.

The factors of 497 are 1, 7, 71, 497

The factors of 773 are 1, 773

The HCF of 497,773 is 1.

Lets's calculate GCF of 497,773

Greatest Common Factor (GCF) of 497,773 By Common Division

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

Greatest Common Factor of 497,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,773 By Matching Biggest Common Factor Method

Now, list down the factors of 497

:

1,7,71,497

Now, list down the factors of 773

:

1,773

Greatest Common Factor

We found the factors 497,773 . The biggest common factor number is the GCF number.
So the greatest common factor 497,773 is 1.

Lets's calculate LCM of 470,200

Lowest Common Multiple of 470,200 using Common Division

2 470, 200
5 235, 100
47, 20

∴ So the LCM of the given numbers is 2 x 5 x 47 x 20 = 9400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9400

Therefore, the GCF of Fractions 497/470,773/200 is 1/9400

Least Common Multiple of 470,200 with GCF Formula

Least Common Multiple of 470,200 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 470,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,200) = 10

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

GCF(470,200) x common factors =10 x 1 = 10

LCM(470,200) = ( 470 × 200 ) / 10

LCM(470,200) = 94000 / 10

LCM(470,200) = 9400


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FAQs on GCF of Fractions of 497/470, 773/200

1. What is the HCF of 497,773?

The HCF of 497,773 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 497/470, 773/200?

Answer: GCF of Numerators as per given numbers 497/470, 773/200 is

GCF of Numerators i.e. for 497,773 is 1

LCM of denominators i.e. for 470,200 is 9400.

Thus, GCF of Fractions is 1/9400.Finally, GCF of Fractions for 497/470, 773/200 is 1/9400.