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GCF of 561/90, 935/2954

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 561/90, 935/2954 i.e 187/132930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 561/90, 935/2954.

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 561/90,935/2954?

Given fractions are 561/90,935/2954

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 561/90,935/2954, numerators are 561,935

Denominators are 90,2954

The GCF of 561,935 is 187 .

LCM of 90,2954 is 132930.

The greatest common factor of 561/90,935/2954 = [GCF of 561,935]/[LCM of 90,2954]= 187/132930

Therefore, the GCF of 561/90,935/2954 is 187/132930.

Greatest Common Factor of 561,935

To find the highest common factor of 561,935, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The HCF of 561,935 is 187.

Lets's calculate GCF of 561,935

Greatest Common Factor (GCF) of 561,935 By Common Division

11 561, 935
17 51, 85
3, 5

∴ So the GCF of the given numbers is 11 x 17 = 187

Greatest Common Factor of 561,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,935 By Matching Biggest Common Factor Method

Now, list down the factors of 561

:

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

Now, list down the factors of 935

:

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 561,935 . The biggest common factor number is the GCF number.
So the greatest common factor 561,935 is 187.

Lets's calculate LCM of 90,2954

Lowest Common Multiple of 90,2954 using Common Division

2 90, 2954
45, 1477

∴ So the LCM of the given numbers is 2 x 45 x 1477 = 132930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 187/132930

Therefore, the GCF of Fractions 561/90,935/2954 is 187/132930

Least Common Multiple of 90,2954 with GCF Formula

Least Common Multiple of 90,2954 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 90,2954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2954) = 2

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

GCF(90,2954) x common factors =2 x 1 = 2

LCM(90,2954) = ( 90 × 2954 ) / 2

LCM(90,2954) = 265860 / 2

LCM(90,2954) = 132930


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FAQs on GCF of Fractions of 561/90, 935/2954

1. What is the HCF of 561,935?

The HCF of 561,935 is 187

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 561/90, 935/2954?

Answer: GCF of Numerators as per given numbers 561/90, 935/2954 is

GCF of Numerators i.e. for 561,935 is 187

LCM of denominators i.e. for 90,2954 is 132930.

Thus, GCF of Fractions is 187/132930.Finally, GCF of Fractions for 561/90, 935/2954 is 187/132930.