How to Find GCF of 6647/259, 1426/9070?

GCF of 6647/259, 1426/9070

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 6647/259, 1426/9070 i.e 23/2349130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6647/259, 1426/9070.

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 6647/259,1426/9070?

Given fractions are 6647/259,1426/9070

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 6647/259,1426/9070, numerators are 6647,1426

Denominators are 259,9070

The GCF of 6647,1426 is 23 .

LCM of 259,9070 is 2349130.

The greatest common factor of 6647/259,1426/9070 = [GCF of 6647,1426]/[LCM of 259,9070]= 23/2349130

Therefore, the GCF of 6647/259,1426/9070 is 23/2349130.

Greatest Common Factor of 6647,1426

To find the highest common factor of 6647,1426, we have to find the factors of both numbers and list the highest common factor.

The factors of 6647 are 1, 17, 23, 289, 391, 6647

The factors of 1426 are 1, 2, 23, 31, 46, 62, 713, 1426

The HCF of 6647,1426 is 23.

Lets's calculate GCF of 6647,1426

Greatest Common Factor (GCF) of 6647,1426 By Common Division

23	6647, 1426
	289, 62

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 6647,1426 By Matching Biggest Common Factor Method

Now, list down the factors of 6647

1,17,23,289,391,6647

Now, list down the factors of 1426

1,2,23,31,46,62,713,1426

Greatest Common Factor

We found the factors 6647,1426 . The biggest common factor number is the GCF number.
So the greatest common factor 6647,1426 is 23.

Lets's calculate LCM of 259,9070

Lowest Common Multiple of 259,9070 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2349130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2349130

Therefore, the GCF of Fractions 6647/259,1426/9070 is 23/2349130

Least Common Multiple of 259,9070 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 259,9070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,9070) = 1

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

GCF(259,9070) x common factors =1 x 1 = 1

LCM(259,9070) = ( 259 × 9070 ) / 1

LCM(259,9070) = 2349130 / 1

LCM(259,9070) = 2349130

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FAQs on GCF of Fractions of 6647/259, 1426/9070

1. What is the HCF of 6647,1426?

The HCF of 6647,1426 is 23

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 6647/259, 1426/9070?

Answer: GCF of Numerators as per given numbers 6647/259, 1426/9070 is

GCF of Numerators i.e. for 6647,1426 is 23

LCM of denominators i.e. for 259,9070 is 2349130.

Thus, GCF of Fractions is 23/2349130.Finally, GCF of Fractions for 6647/259, 1426/9070 is 23/2349130.