How to Find GCF of 5560/386, 3070/2749?

GCF of 5560/386, 3070/2749

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 5560/386, 3070/2749 i.e 10/1061114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5560/386, 3070/2749.

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 5560/386,3070/2749?

Given fractions are 5560/386,3070/2749

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 5560/386,3070/2749, numerators are 5560,3070

Denominators are 386,2749

The GCF of 5560,3070 is 10 .

LCM of 386,2749 is 1061114.

The greatest common factor of 5560/386,3070/2749 = [GCF of 5560,3070]/[LCM of 386,2749]= 10/1061114

Therefore, the GCF of 5560/386,3070/2749 is 10/1061114.

Greatest Common Factor of 5560,3070

To find the highest common factor of 5560,3070, we have to find the factors of both numbers and list the highest common factor.

The factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560

The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070

The HCF of 5560,3070 is 10.

Lets's calculate GCF of 5560,3070

Greatest Common Factor (GCF) of 5560,3070 By Common Division

2	5560, 3070
5	2780, 1535
	556, 307

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5560,3070 By Matching Biggest Common Factor Method

Now, list down the factors of 5560

1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560

Now, list down the factors of 3070

1,2,5,10,307,614,1535,3070

Greatest Common Factor

We found the factors 5560,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 5560,3070 is 10.

Lets's calculate LCM of 386,2749

Lowest Common Multiple of 386,2749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1061114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1061114

Therefore, the GCF of Fractions 5560/386,3070/2749 is 10/1061114

Least Common Multiple of 386,2749 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 386,2749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,2749) = 1

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

GCF(386,2749) x common factors =1 x 1 = 1

LCM(386,2749) = ( 386 × 2749 ) / 1

LCM(386,2749) = 1061114 / 1

LCM(386,2749) = 1061114

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5560/386, 3070/2749

1. What is the HCF of 5560,3070?

The HCF of 5560,3070 is 10

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 5560/386, 3070/2749?

Answer: GCF of Numerators as per given numbers 5560/386, 3070/2749 is

GCF of Numerators i.e. for 5560,3070 is 10

LCM of denominators i.e. for 386,2749 is 1061114.

Thus, GCF of Fractions is 10/1061114.Finally, GCF of Fractions for 5560/386, 3070/2749 is 10/1061114.