How to Find GCF of 556/596, 5766/6860?

GCF of 556/596, 5766/6860

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 556/596, 5766/6860 i.e 2/1022140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/596, 5766/6860.

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 556/596,5766/6860?

Given fractions are 556/596,5766/6860

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 556/596,5766/6860, numerators are 556,5766

Denominators are 596,6860

The GCF of 556,5766 is 2 .

LCM of 596,6860 is 1022140.

The greatest common factor of 556/596,5766/6860 = [GCF of 556,5766]/[LCM of 596,6860]= 2/1022140

Therefore, the GCF of 556/596,5766/6860 is 2/1022140.

Greatest Common Factor of 556,5766

To find the highest common factor of 556,5766, we have to find the factors of both numbers and list the highest common factor.

The factors of 556 are 1, 2, 4, 139, 278, 556

The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766

The HCF of 556,5766 is 2.

Lets's calculate GCF of 556,5766

Greatest Common Factor (GCF) of 556,5766 By Common Division

2	556, 5766
	278, 2883

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

Greatest Common Factor of 556,5766 By Matching Biggest Common Factor Method

Now, list down the factors of 556

1,2,4,139,278,556

Now, list down the factors of 5766

1,2,3,6,31,62,93,186,961,1922,2883,5766

Greatest Common Factor

We found the factors 556,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 556,5766 is 2.

Lets's calculate LCM of 596,6860

Lowest Common Multiple of 596,6860 using Common Division

2	596, 6860
2	298, 3430
	149, 1715

∴ So the LCM of the given numbers is 2 x 2 x 149 x 1715 = 1022140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1022140

Therefore, the GCF of Fractions 556/596,5766/6860 is 2/1022140

Least Common Multiple of 596,6860 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 596,6860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,6860) = 4

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

GCF(596,6860) x common factors =4 x 1 = 4

LCM(596,6860) = ( 596 × 6860 ) / 4

LCM(596,6860) = 4088560 / 4

LCM(596,6860) = 1022140

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FAQs on GCF of Fractions of 556/596, 5766/6860

1. What is the HCF of 556,5766?

The HCF of 556,5766 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 556/596, 5766/6860?

Answer: GCF of Numerators as per given numbers 556/596, 5766/6860 is

GCF of Numerators i.e. for 556,5766 is 2

LCM of denominators i.e. for 596,6860 is 1022140.

Thus, GCF of Fractions is 2/1022140.Finally, GCF of Fractions for 556/596, 5766/6860 is 2/1022140.