How to Find GCF of 6060/310, 1684/3679?

GCF of 6060/310, 1684/3679

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 6060/310, 1684/3679 i.e 4/1140490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6060/310, 1684/3679.

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 6060/310,1684/3679?

Given fractions are 6060/310,1684/3679

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 6060/310,1684/3679, numerators are 6060,1684

Denominators are 310,3679

The GCF of 6060,1684 is 4 .

LCM of 310,3679 is 1140490.

The greatest common factor of 6060/310,1684/3679 = [GCF of 6060,1684]/[LCM of 310,3679]= 4/1140490

Therefore, the GCF of 6060/310,1684/3679 is 4/1140490.

Greatest Common Factor of 6060,1684

To find the highest common factor of 6060,1684, we have to find the factors of both numbers and list the highest common factor.

The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

The factors of 1684 are 1, 2, 4, 421, 842, 1684

The HCF of 6060,1684 is 4.

Lets's calculate GCF of 6060,1684

Greatest Common Factor (GCF) of 6060,1684 By Common Division

2	6060, 1684
2	3030, 842
	1515, 421

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6060,1684 By Matching Biggest Common Factor Method

Now, list down the factors of 6060

1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060

Now, list down the factors of 1684

1,2,4,421,842,1684

Greatest Common Factor

We found the factors 6060,1684 . The biggest common factor number is the GCF number.
So the greatest common factor 6060,1684 is 4.

Lets's calculate LCM of 310,3679

Lowest Common Multiple of 310,3679 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1140490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1140490

Therefore, the GCF of Fractions 6060/310,1684/3679 is 4/1140490

Least Common Multiple of 310,3679 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 310,3679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,3679) = 1

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

GCF(310,3679) x common factors =1 x 1 = 1

LCM(310,3679) = ( 310 × 3679 ) / 1

LCM(310,3679) = 1140490 / 1

LCM(310,3679) = 1140490

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6060/310, 1684/3679

1. What is the HCF of 6060,1684?

The HCF of 6060,1684 is 4

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 6060/310, 1684/3679?

Answer: GCF of Numerators as per given numbers 6060/310, 1684/3679 is

GCF of Numerators i.e. for 6060,1684 is 4

LCM of denominators i.e. for 310,3679 is 1140490.

Thus, GCF of Fractions is 4/1140490.Finally, GCF of Fractions for 6060/310, 1684/3679 is 4/1140490.