How to Find GCF of 5774/607, 5152/5546?

GCF of 5774/607, 5152/5546

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 5774/607, 5152/5546 i.e 2/3366422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5774/607, 5152/5546.

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 5774/607,5152/5546?

Given fractions are 5774/607,5152/5546

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 5774/607,5152/5546, numerators are 5774,5152

Denominators are 607,5546

The GCF of 5774,5152 is 2 .

LCM of 607,5546 is 3366422.

The greatest common factor of 5774/607,5152/5546 = [GCF of 5774,5152]/[LCM of 607,5546]= 2/3366422

Therefore, the GCF of 5774/607,5152/5546 is 2/3366422.

Greatest Common Factor of 5774,5152

To find the highest common factor of 5774,5152, we have to find the factors of both numbers and list the highest common factor.

The factors of 5774 are 1, 2, 2887, 5774

The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152

The HCF of 5774,5152 is 2.

Lets's calculate GCF of 5774,5152

Greatest Common Factor (GCF) of 5774,5152 By Common Division

2	5774, 5152
	2887, 2576

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

Greatest Common Factor of 5774,5152 By Matching Biggest Common Factor Method

Now, list down the factors of 5774

1,2,2887,5774

Now, list down the factors of 5152

1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152

Greatest Common Factor

We found the factors 5774,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 5774,5152 is 2.

Lets's calculate LCM of 607,5546

Lowest Common Multiple of 607,5546 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3366422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3366422

Therefore, the GCF of Fractions 5774/607,5152/5546 is 2/3366422

Least Common Multiple of 607,5546 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 607,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,5546) = 1

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

GCF(607,5546) x common factors =1 x 1 = 1

LCM(607,5546) = ( 607 × 5546 ) / 1

LCM(607,5546) = 3366422 / 1

LCM(607,5546) = 3366422

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5774/607, 5152/5546

1. What is the HCF of 5774,5152?

The HCF of 5774,5152 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 5774/607, 5152/5546?

Answer: GCF of Numerators as per given numbers 5774/607, 5152/5546 is

GCF of Numerators i.e. for 5774,5152 is 2

LCM of denominators i.e. for 607,5546 is 3366422.

Thus, GCF of Fractions is 2/3366422.Finally, GCF of Fractions for 5774/607, 5152/5546 is 2/3366422.