How to Find GCF of 647/22, 223/13, 126/61?

GCF of 647/22, 223/13, 126/61

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 647/22, 223/13, 126/61 i.e 1/17446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 647/22, 223/13, 126/61.

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 647/22,223/13,126/61?

Given fractions are 647/22,223/13,126/61

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 647/22,223/13,126/61, numerators are 647,223,126

Denominators are 22,13,61

The GCF of 647,223,126 is 1 .

LCM of 22,13,61 is 17446.

The greatest common factor of 647/22,223/13,126/61 = [GCF of 647,223,126]/[LCM of 22,13,61]= 1/17446

Therefore, the GCF of 647/22,223/13,126/61 is 1/17446.

Greatest Common Factor of 647,223,126

To find the highest common factor of 647,223,126, we have to find the factors of both numbers and list the highest common factor.

The factors of 647 are 1, 647

The factors of 223 are 1, 223

The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The HCF of 647,223,126 is 1.

Lets's calculate GCF of 647,223,126

Greatest Common Factor (GCF) of 647,223,126 By Common Division

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

Greatest Common Factor of 647,223,126 By Matching Biggest Common Factor Method

Now, list down the factors of 647

1,647

Now, list down the factors of 223

1,223

Now, list down the factors of 126

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 647,223,126 . The biggest common factor number is the GCF number.
So the greatest common factor 647,223,126 is 1.

Lets's calculate LCM of 22,13,61

Lowest Common Multiple of 22,13,61 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17446

Therefore, the GCF of Fractions 647/22,223/13,126/61 is 1/17446

Least Common Multiple of 22,13,61 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 22,13,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,13,61) = 1

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

GCF(22,13,61) x common factors =1 x 1 = 1

LCM(22,13,61) = ( 22 × 13 × 61 ) / 1

LCM(22,13,61) = 17446 / 1

LCM(22,13,61) = 17446

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FAQs on GCF of Fractions of 647/22, 223/13, 126/61

1. What is the HCF of 647,223,126?

The HCF of 647,223,126 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 647/22, 223/13, 126/61?

Answer: GCF of Numerators as per given numbers 647/22, 223/13, 126/61 is

GCF of Numerators i.e. for 647,223,126 is 1

LCM of denominators i.e. for 22,13,61 is 17446.

Thus, GCF of Fractions is 1/17446.Finally, GCF of Fractions for 647/22, 223/13, 126/61 is 1/17446.