How to Find GCF of 4494/169, 7026/7059?

GCF of 4494/169, 7026/7059

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 4494/169, 7026/7059 i.e 6/91767 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4494/169, 7026/7059.

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 4494/169,7026/7059?

Given fractions are 4494/169,7026/7059

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 4494/169,7026/7059, numerators are 4494,7026

Denominators are 169,7059

The GCF of 4494,7026 is 6 .

LCM of 169,7059 is 91767.

The greatest common factor of 4494/169,7026/7059 = [GCF of 4494,7026]/[LCM of 169,7059]= 6/91767

Therefore, the GCF of 4494/169,7026/7059 is 6/91767.

Greatest Common Factor of 4494,7026

To find the highest common factor of 4494,7026, we have to find the factors of both numbers and list the highest common factor.

The factors of 4494 are 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494

The factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026

The HCF of 4494,7026 is 6.

Lets's calculate GCF of 4494,7026

Greatest Common Factor (GCF) of 4494,7026 By Common Division

2	4494, 7026
3	2247, 3513
	749, 1171

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4494,7026 By Matching Biggest Common Factor Method

Now, list down the factors of 4494

1,2,3,6,7,14,21,42,107,214,321,642,749,1498,2247,4494

Now, list down the factors of 7026

1,2,3,6,1171,2342,3513,7026

Greatest Common Factor

We found the factors 4494,7026 . The biggest common factor number is the GCF number.
So the greatest common factor 4494,7026 is 6.

Lets's calculate LCM of 169,7059

Lowest Common Multiple of 169,7059 using Common Division

13	169, 7059
	13, 543

∴ So the LCM of the given numbers is 13 x 13 x 543 = 91767

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/91767

Therefore, the GCF of Fractions 4494/169,7026/7059 is 6/91767

Least Common Multiple of 169,7059 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 169,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,7059) = 13

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

GCF(169,7059) x common factors =13 x 1 = 13

LCM(169,7059) = ( 169 × 7059 ) / 13

LCM(169,7059) = 1192971 / 13

LCM(169,7059) = 91767

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4494/169, 7026/7059

1. What is the HCF of 4494,7026?

The HCF of 4494,7026 is 6

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 4494/169, 7026/7059?

Answer: GCF of Numerators as per given numbers 4494/169, 7026/7059 is

GCF of Numerators i.e. for 4494,7026 is 6

LCM of denominators i.e. for 169,7059 is 91767.

Thus, GCF of Fractions is 6/91767.Finally, GCF of Fractions for 4494/169, 7026/7059 is 6/91767.