How to Find GCF of 5070/939, 9581/3548?

GCF of 5070/939, 9581/3548

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 5070/939, 9581/3548 i.e 13/3331572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5070/939, 9581/3548.

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 5070/939,9581/3548?

Given fractions are 5070/939,9581/3548

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 5070/939,9581/3548, numerators are 5070,9581

Denominators are 939,3548

The GCF of 5070,9581 is 13 .

LCM of 939,3548 is 3331572.

The greatest common factor of 5070/939,9581/3548 = [GCF of 5070,9581]/[LCM of 939,3548]= 13/3331572

Therefore, the GCF of 5070/939,9581/3548 is 13/3331572.

Greatest Common Factor of 5070,9581

To find the highest common factor of 5070,9581, we have to find the factors of both numbers and list the highest common factor.

The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070

The factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581

The HCF of 5070,9581 is 13.

Lets's calculate GCF of 5070,9581

Greatest Common Factor (GCF) of 5070,9581 By Common Division

13	5070, 9581
	390, 737

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5070,9581 By Matching Biggest Common Factor Method

Now, list down the factors of 5070

1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070

Now, list down the factors of 9581

1,11,13,67,143,737,871,9581

Greatest Common Factor

We found the factors 5070,9581 . The biggest common factor number is the GCF number.
So the greatest common factor 5070,9581 is 13.

Lets's calculate LCM of 939,3548

Lowest Common Multiple of 939,3548 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3331572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3331572

Therefore, the GCF of Fractions 5070/939,9581/3548 is 13/3331572

Least Common Multiple of 939,3548 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 939,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,3548) = 1

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

GCF(939,3548) x common factors =1 x 1 = 1

LCM(939,3548) = ( 939 × 3548 ) / 1

LCM(939,3548) = 3331572 / 1

LCM(939,3548) = 3331572

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5070/939, 9581/3548

1. What is the HCF of 5070,9581?

The HCF of 5070,9581 is 13

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 5070/939, 9581/3548?

Answer: GCF of Numerators as per given numbers 5070/939, 9581/3548 is

GCF of Numerators i.e. for 5070,9581 is 13

LCM of denominators i.e. for 939,3548 is 3331572.

Thus, GCF of Fractions is 13/3331572.Finally, GCF of Fractions for 5070/939, 9581/3548 is 13/3331572.