How to Find GCF of 93/26, 206/65, 641/753?

GCF of 93/26, 206/65, 641/753

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 93/26, 206/65, 641/753 i.e 1/97890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/26, 206/65, 641/753.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 93/26,206/65,641/753?

Given fractions are 93/26,206/65,641/753

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 93/26,206/65,641/753, numerators are 93,206,641

Denominators are 26,65,753

The GCF of 93,206,641 is 1 .

LCM of 26,65,753 is 97890.

The greatest common factor of 93/26,206/65,641/753 = [GCF of 93,206,641]/[LCM of 26,65,753]= 1/97890

Therefore, the GCF of 93/26,206/65,641/753 is 1/97890.

Greatest Common Factor of 93,206,641

To find the highest common factor of 93,206,641, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 206 are 1, 2, 103, 206

The factors of 641 are 1, 641

The HCF of 93,206,641 is 1.

Lets's calculate GCF of 93,206,641

Greatest Common Factor (GCF) of 93,206,641 By Common Division

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

Greatest Common Factor of 93,206,641 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 206

1,2,103,206

Now, list down the factors of 641

1,641

Greatest Common Factor

We found the factors 93,206,641 . The biggest common factor number is the GCF number.
So the greatest common factor 93,206,641 is 1.

Lets's calculate LCM of 26,65,753

Lowest Common Multiple of 26,65,753 using Common Division

13	26, 65, 753
	2, 5, 753

∴ So the LCM of the given numbers is 13 x 2 x 5 x 753 = 97890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97890

Therefore, the GCF of Fractions 93/26,206/65,641/753 is 1/97890

Least Common Multiple of 26,65,753 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 26,65,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,65,753) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(26,65,753) x common factors =1 x 13 = 13

LCM(26,65,753) = ( 26 × 65 × 753 ) / 13

LCM(26,65,753) = 1272570 / 13

LCM(26,65,753) = 97890

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FAQs on GCF of Fractions of 93/26, 206/65, 641/753

1. What is the HCF of 93,206,641?

The HCF of 93,206,641 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 93/26, 206/65, 641/753?

Answer: GCF of Numerators as per given numbers 93/26, 206/65, 641/753 is

GCF of Numerators i.e. for 93,206,641 is 1

LCM of denominators i.e. for 26,65,753 is 97890.

Thus, GCF of Fractions is 1/97890.Finally, GCF of Fractions for 93/26, 206/65, 641/753 is 1/97890.