How to Find GCF of 5720/502, 7172/8829?

GCF of 5720/502, 7172/8829

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 5720/502, 7172/8829 i.e 44/4432158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5720/502, 7172/8829.

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 5720/502,7172/8829?

Given fractions are 5720/502,7172/8829

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 5720/502,7172/8829, numerators are 5720,7172

Denominators are 502,8829

The GCF of 5720,7172 is 44 .

LCM of 502,8829 is 4432158.

The greatest common factor of 5720/502,7172/8829 = [GCF of 5720,7172]/[LCM of 502,8829]= 44/4432158

Therefore, the GCF of 5720/502,7172/8829 is 44/4432158.

Greatest Common Factor of 5720,7172

To find the highest common factor of 5720,7172, we have to find the factors of both numbers and list the highest common factor.

The factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720

The factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172

The HCF of 5720,7172 is 44.

Lets's calculate GCF of 5720,7172

Greatest Common Factor (GCF) of 5720,7172 By Common Division

2	5720, 7172
2	2860, 3586
11	1430, 1793
	130, 163

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 5720,7172 By Matching Biggest Common Factor Method

Now, list down the factors of 5720

1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720

Now, list down the factors of 7172

1,2,4,11,22,44,163,326,652,1793,3586,7172

Greatest Common Factor

We found the factors 5720,7172 . The biggest common factor number is the GCF number.
So the greatest common factor 5720,7172 is 44.

Lets's calculate LCM of 502,8829

Lowest Common Multiple of 502,8829 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4432158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/4432158

Therefore, the GCF of Fractions 5720/502,7172/8829 is 44/4432158

Least Common Multiple of 502,8829 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 502,8829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8829) = 1

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

GCF(502,8829) x common factors =1 x 1 = 1

LCM(502,8829) = ( 502 × 8829 ) / 1

LCM(502,8829) = 4432158 / 1

LCM(502,8829) = 4432158

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FAQs on GCF of Fractions of 5720/502, 7172/8829

1. What is the HCF of 5720,7172?

The HCF of 5720,7172 is 44

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 5720/502, 7172/8829?

Answer: GCF of Numerators as per given numbers 5720/502, 7172/8829 is

GCF of Numerators i.e. for 5720,7172 is 44

LCM of denominators i.e. for 502,8829 is 4432158.

Thus, GCF of Fractions is 44/4432158.Finally, GCF of Fractions for 5720/502, 7172/8829 is 44/4432158.