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GCF of 733/774, 459/190

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 733/774, 459/190 i.e 1/73530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/774, 459/190.

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 733/774,459/190?

Given fractions are 733/774,459/190

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 733/774,459/190, numerators are 733,459

Denominators are 774,190

The GCF of 733,459 is 1 .

LCM of 774,190 is 73530.

The greatest common factor of 733/774,459/190 = [GCF of 733,459]/[LCM of 774,190]= 1/73530

Therefore, the GCF of 733/774,459/190 is 1/73530.

Greatest Common Factor of 733,459

To find the highest common factor of 733,459, we have to find the factors of both numbers and list the highest common factor.

The factors of 733 are 1, 733

The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459

The HCF of 733,459 is 1.

Lets's calculate GCF of 733,459

Greatest Common Factor (GCF) of 733,459 By Common Division

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

Greatest Common Factor of 733,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,459 By Matching Biggest Common Factor Method

Now, list down the factors of 733

:

1,733

Now, list down the factors of 459

:

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 733,459 . The biggest common factor number is the GCF number.
So the greatest common factor 733,459 is 1.

Lets's calculate LCM of 774,190

Lowest Common Multiple of 774,190 using Common Division

2 774, 190
387, 95

∴ So the LCM of the given numbers is 2 x 387 x 95 = 73530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73530

Therefore, the GCF of Fractions 733/774,459/190 is 1/73530

Least Common Multiple of 774,190 with GCF Formula

Least Common Multiple of 774,190 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 774,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,190) = 2

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

GCF(774,190) x common factors =2 x 1 = 2

LCM(774,190) = ( 774 × 190 ) / 2

LCM(774,190) = 147060 / 2

LCM(774,190) = 73530


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FAQs on GCF of Fractions of 733/774, 459/190

1. What is the HCF of 733,459?

The HCF of 733,459 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 733/774, 459/190?

Answer: GCF of Numerators as per given numbers 733/774, 459/190 is

GCF of Numerators i.e. for 733,459 is 1

LCM of denominators i.e. for 774,190 is 73530.

Thus, GCF of Fractions is 1/73530.Finally, GCF of Fractions for 733/774, 459/190 is 1/73530.