How to Find GCF of 3180/640, 5606/4532?

GCF of 3180/640, 5606/4532

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 3180/640, 5606/4532 i.e 2/725120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3180/640, 5606/4532.

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 3180/640,5606/4532?

Given fractions are 3180/640,5606/4532

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 3180/640,5606/4532, numerators are 3180,5606

Denominators are 640,4532

The GCF of 3180,5606 is 2 .

LCM of 640,4532 is 725120.

The greatest common factor of 3180/640,5606/4532 = [GCF of 3180,5606]/[LCM of 640,4532]= 2/725120

Therefore, the GCF of 3180/640,5606/4532 is 2/725120.

Greatest Common Factor of 3180,5606

To find the highest common factor of 3180,5606, we have to find the factors of both numbers and list the highest common factor.

The factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180

The factors of 5606 are 1, 2, 2803, 5606

The HCF of 3180,5606 is 2.

Lets's calculate GCF of 3180,5606

Greatest Common Factor (GCF) of 3180,5606 By Common Division

2	3180, 5606
	1590, 2803

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

Greatest Common Factor of 3180,5606 By Matching Biggest Common Factor Method

Now, list down the factors of 3180

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Now, list down the factors of 5606

1,2,2803,5606

Greatest Common Factor

We found the factors 3180,5606 . The biggest common factor number is the GCF number.
So the greatest common factor 3180,5606 is 2.

Lets's calculate LCM of 640,4532

Lowest Common Multiple of 640,4532 using Common Division

2	640, 4532
2	320, 2266
	160, 1133

∴ So the LCM of the given numbers is 2 x 2 x 160 x 1133 = 725120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/725120

Therefore, the GCF of Fractions 3180/640,5606/4532 is 2/725120

Least Common Multiple of 640,4532 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 640,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,4532) = 4

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

GCF(640,4532) x common factors =4 x 1 = 4

LCM(640,4532) = ( 640 × 4532 ) / 4

LCM(640,4532) = 2900480 / 4

LCM(640,4532) = 725120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3180/640, 5606/4532

1. What is the HCF of 3180,5606?

The HCF of 3180,5606 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 3180/640, 5606/4532?

Answer: GCF of Numerators as per given numbers 3180/640, 5606/4532 is

GCF of Numerators i.e. for 3180,5606 is 2

LCM of denominators i.e. for 640,4532 is 725120.

Thus, GCF of Fractions is 2/725120.Finally, GCF of Fractions for 3180/640, 5606/4532 is 2/725120.