How to Find GCF of 5656/601, 7176/6726?

GCF of 5656/601, 7176/6726

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 5656/601, 7176/6726 i.e 8/4042326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5656/601, 7176/6726.

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 5656/601,7176/6726?

Given fractions are 5656/601,7176/6726

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 5656/601,7176/6726, numerators are 5656,7176

Denominators are 601,6726

The GCF of 5656,7176 is 8 .

LCM of 601,6726 is 4042326.

The greatest common factor of 5656/601,7176/6726 = [GCF of 5656,7176]/[LCM of 601,6726]= 8/4042326

Therefore, the GCF of 5656/601,7176/6726 is 8/4042326.

Greatest Common Factor of 5656,7176

To find the highest common factor of 5656,7176, we have to find the factors of both numbers and list the highest common factor.

The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176

The HCF of 5656,7176 is 8.

Lets's calculate GCF of 5656,7176

Greatest Common Factor (GCF) of 5656,7176 By Common Division

2	5656, 7176
2	2828, 3588
2	1414, 1794
	707, 897

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5656,7176 By Matching Biggest Common Factor Method

Now, list down the factors of 5656

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Now, list down the factors of 7176

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Greatest Common Factor

We found the factors 5656,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,7176 is 8.

Lets's calculate LCM of 601,6726

Lowest Common Multiple of 601,6726 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4042326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4042326

Therefore, the GCF of Fractions 5656/601,7176/6726 is 8/4042326

Least Common Multiple of 601,6726 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 601,6726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,6726) = 1

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

GCF(601,6726) x common factors =1 x 1 = 1

LCM(601,6726) = ( 601 × 6726 ) / 1

LCM(601,6726) = 4042326 / 1

LCM(601,6726) = 4042326

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5656/601, 7176/6726

1. What is the HCF of 5656,7176?

The HCF of 5656,7176 is 8

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 5656/601, 7176/6726?

Answer: GCF of Numerators as per given numbers 5656/601, 7176/6726 is

GCF of Numerators i.e. for 5656,7176 is 8

LCM of denominators i.e. for 601,6726 is 4042326.

Thus, GCF of Fractions is 8/4042326.Finally, GCF of Fractions for 5656/601, 7176/6726 is 8/4042326.