How to Find GCF of 5134/520, 6558/683?

GCF of 5134/520, 6558/683

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 5134/520, 6558/683 i.e 2/355160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5134/520, 6558/683.

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 5134/520,6558/683?

Given fractions are 5134/520,6558/683

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 5134/520,6558/683, numerators are 5134,6558

Denominators are 520,683

The GCF of 5134,6558 is 2 .

LCM of 520,683 is 355160.

The greatest common factor of 5134/520,6558/683 = [GCF of 5134,6558]/[LCM of 520,683]= 2/355160

Therefore, the GCF of 5134/520,6558/683 is 2/355160.

Greatest Common Factor of 5134,6558

To find the highest common factor of 5134,6558, we have to find the factors of both numbers and list the highest common factor.

The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134

The factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558

The HCF of 5134,6558 is 2.

Lets's calculate GCF of 5134,6558

Greatest Common Factor (GCF) of 5134,6558 By Common Division

2	5134, 6558
	2567, 3279

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

Greatest Common Factor of 5134,6558 By Matching Biggest Common Factor Method

Now, list down the factors of 5134

1,2,17,34,151,302,2567,5134

Now, list down the factors of 6558

1,2,3,6,1093,2186,3279,6558

Greatest Common Factor

We found the factors 5134,6558 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,6558 is 2.

Lets's calculate LCM of 520,683

Lowest Common Multiple of 520,683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 355160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/355160

Therefore, the GCF of Fractions 5134/520,6558/683 is 2/355160

Least Common Multiple of 520,683 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 520,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,683) = 1

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

GCF(520,683) x common factors =1 x 1 = 1

LCM(520,683) = ( 520 × 683 ) / 1

LCM(520,683) = 355160 / 1

LCM(520,683) = 355160

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FAQs on GCF of Fractions of 5134/520, 6558/683

1. What is the HCF of 5134,6558?

The HCF of 5134,6558 is 2

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 5134/520, 6558/683?

Answer: GCF of Numerators as per given numbers 5134/520, 6558/683 is

GCF of Numerators i.e. for 5134,6558 is 2

LCM of denominators i.e. for 520,683 is 355160.

Thus, GCF of Fractions is 2/355160.Finally, GCF of Fractions for 5134/520, 6558/683 is 2/355160.