How to Find GCF of 2870/751, 1742/6821?

GCF of 2870/751, 1742/6821

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 2870/751, 1742/6821 i.e 2/5122571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2870/751, 1742/6821.

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 2870/751,1742/6821?

Given fractions are 2870/751,1742/6821

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 2870/751,1742/6821, numerators are 2870,1742

Denominators are 751,6821

The GCF of 2870,1742 is 2 .

LCM of 751,6821 is 5122571.

The greatest common factor of 2870/751,1742/6821 = [GCF of 2870,1742]/[LCM of 751,6821]= 2/5122571

Therefore, the GCF of 2870/751,1742/6821 is 2/5122571.

Greatest Common Factor of 2870,1742

To find the highest common factor of 2870,1742, we have to find the factors of both numbers and list the highest common factor.

The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870

The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742

The HCF of 2870,1742 is 2.

Lets's calculate GCF of 2870,1742

Greatest Common Factor (GCF) of 2870,1742 By Common Division

2	2870, 1742
	1435, 871

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

Greatest Common Factor of 2870,1742 By Matching Biggest Common Factor Method

Now, list down the factors of 2870

1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870

Now, list down the factors of 1742

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 2870,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 2870,1742 is 2.

Lets's calculate LCM of 751,6821

Lowest Common Multiple of 751,6821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5122571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5122571

Therefore, the GCF of Fractions 2870/751,1742/6821 is 2/5122571

Least Common Multiple of 751,6821 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 751,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,6821) = 1

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

GCF(751,6821) x common factors =1 x 1 = 1

LCM(751,6821) = ( 751 × 6821 ) / 1

LCM(751,6821) = 5122571 / 1

LCM(751,6821) = 5122571

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2870/751, 1742/6821

1. What is the HCF of 2870,1742?

The HCF of 2870,1742 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 2870/751, 1742/6821?

Answer: GCF of Numerators as per given numbers 2870/751, 1742/6821 is

GCF of Numerators i.e. for 2870,1742 is 2

LCM of denominators i.e. for 751,6821 is 5122571.

Thus, GCF of Fractions is 2/5122571.Finally, GCF of Fractions for 2870/751, 1742/6821 is 2/5122571.