How to Find GCF of 10/22, 263/13, 514/884?

GCF of 10/22, 263/13, 514/884

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 10/22, 263/13, 514/884 i.e 1/9724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/22, 263/13, 514/884.

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 10/22,263/13,514/884?

Given fractions are 10/22,263/13,514/884

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 10/22,263/13,514/884, numerators are 10,263,514

Denominators are 22,13,884

The GCF of 10,263,514 is 1 .

LCM of 22,13,884 is 9724.

The greatest common factor of 10/22,263/13,514/884 = [GCF of 10,263,514]/[LCM of 22,13,884]= 1/9724

Therefore, the GCF of 10/22,263/13,514/884 is 1/9724.

Greatest Common Factor of 10,263,514

To find the highest common factor of 10,263,514, we have to find the factors of both numbers and list the highest common factor.

The factors of 10 are 1, 2, 5, 10

The factors of 263 are 1, 263

The factors of 514 are 1, 2, 257, 514

The HCF of 10,263,514 is 1.

Lets's calculate GCF of 10,263,514

Greatest Common Factor (GCF) of 10,263,514 By Common Division

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

Greatest Common Factor of 10,263,514 By Matching Biggest Common Factor Method

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 263

1,263

Now, list down the factors of 514

1,2,257,514

Greatest Common Factor

We found the factors 10,263,514 . The biggest common factor number is the GCF number.
So the greatest common factor 10,263,514 is 1.

Lets's calculate LCM of 22,13,884

Lowest Common Multiple of 22,13,884 using Common Division

2	22, 13, 884
13	11, 13, 442
	11, 1, 34

∴ So the LCM of the given numbers is 2 x 13 x 11 x 1 x 34 = 9724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9724

Therefore, the GCF of Fractions 10/22,263/13,514/884 is 1/9724

Least Common Multiple of 22,13,884 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 22,13,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,13,884) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(22,13,884) x common factors =1 x 26 = 26

LCM(22,13,884) = ( 22 × 13 × 884 ) / 26

LCM(22,13,884) = 252824 / 26

LCM(22,13,884) = 9724

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FAQs on GCF of Fractions of 10/22, 263/13, 514/884

1. What is the HCF of 10,263,514?

The HCF of 10,263,514 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 10/22, 263/13, 514/884?

Answer: GCF of Numerators as per given numbers 10/22, 263/13, 514/884 is

GCF of Numerators i.e. for 10,263,514 is 1

LCM of denominators i.e. for 22,13,884 is 9724.

Thus, GCF of Fractions is 1/9724.Finally, GCF of Fractions for 10/22, 263/13, 514/884 is 1/9724.