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GCF of 738/231, 199/463

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 738/231, 199/463 i.e 1/106953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/231, 199/463.

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 738/231,199/463?

Given fractions are 738/231,199/463

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 738/231,199/463, numerators are 738,199

Denominators are 231,463

The GCF of 738,199 is 1 .

LCM of 231,463 is 106953.

The greatest common factor of 738/231,199/463 = [GCF of 738,199]/[LCM of 231,463]= 1/106953

Therefore, the GCF of 738/231,199/463 is 1/106953.

Greatest Common Factor of 738,199

To find the highest common factor of 738,199, we have to find the factors of both numbers and list the highest common factor.

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

The factors of 199 are 1, 199

The HCF of 738,199 is 1.

Lets's calculate GCF of 738,199

Greatest Common Factor (GCF) of 738,199 By Common Division

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

Greatest Common Factor of 738,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,199 By Matching Biggest Common Factor Method

Now, list down the factors of 738

:

1,2,3,6,9,18,41,82,123,246,369,738

Now, list down the factors of 199

:

1,199

Greatest Common Factor

We found the factors 738,199 . The biggest common factor number is the GCF number.
So the greatest common factor 738,199 is 1.

Lets's calculate LCM of 231,463

Lowest Common Multiple of 231,463 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106953

Therefore, the GCF of Fractions 738/231,199/463 is 1/106953

Least Common Multiple of 231,463 with GCF Formula

Least Common Multiple of 231,463 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 231,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,463) = 1

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

GCF(231,463) x common factors =1 x 1 = 1

LCM(231,463) = ( 231 × 463 ) / 1

LCM(231,463) = 106953 / 1

LCM(231,463) = 106953


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FAQs on GCF of Fractions of 738/231, 199/463

1. What is the HCF of 738,199?

The HCF of 738,199 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 738/231, 199/463?

Answer: GCF of Numerators as per given numbers 738/231, 199/463 is

GCF of Numerators i.e. for 738,199 is 1

LCM of denominators i.e. for 231,463 is 106953.

Thus, GCF of Fractions is 1/106953.Finally, GCF of Fractions for 738/231, 199/463 is 1/106953.