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GCF of 794/45, 561/969

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 794/45, 561/969 i.e 1/14535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/45, 561/969.

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 794/45,561/969?

Given fractions are 794/45,561/969

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 794/45,561/969, numerators are 794,561

Denominators are 45,969

The GCF of 794,561 is 1 .

LCM of 45,969 is 14535.

The greatest common factor of 794/45,561/969 = [GCF of 794,561]/[LCM of 45,969]= 1/14535

Therefore, the GCF of 794/45,561/969 is 1/14535.

Greatest Common Factor of 794,561

To find the highest common factor of 794,561, we have to find the factors of both numbers and list the highest common factor.

The factors of 794 are 1, 2, 397, 794

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The HCF of 794,561 is 1.

Lets's calculate GCF of 794,561

Greatest Common Factor (GCF) of 794,561 By Common Division

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

Greatest Common Factor of 794,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,561 By Matching Biggest Common Factor Method

Now, list down the factors of 794

:

1,2,397,794

Now, list down the factors of 561

:

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 794,561 . The biggest common factor number is the GCF number.
So the greatest common factor 794,561 is 1.

Lets's calculate LCM of 45,969

Lowest Common Multiple of 45,969 using Common Division

3 45, 969
15, 323

∴ So the LCM of the given numbers is 3 x 15 x 323 = 14535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14535

Therefore, the GCF of Fractions 794/45,561/969 is 1/14535

Least Common Multiple of 45,969 with GCF Formula

Least Common Multiple of 45,969 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 45,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,969) = 3

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

GCF(45,969) x common factors =3 x 1 = 3

LCM(45,969) = ( 45 × 969 ) / 3

LCM(45,969) = 43605 / 3

LCM(45,969) = 14535


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FAQs on GCF of Fractions of 794/45, 561/969

1. What is the HCF of 794,561?

The HCF of 794,561 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 794/45, 561/969?

Answer: GCF of Numerators as per given numbers 794/45, 561/969 is

GCF of Numerators i.e. for 794,561 is 1

LCM of denominators i.e. for 45,969 is 14535.

Thus, GCF of Fractions is 1/14535.Finally, GCF of Fractions for 794/45, 561/969 is 1/14535.