How to Find GCF of 2070/231, 7046/563?

GCF of 2070/231, 7046/563

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 2070/231, 7046/563 i.e 2/130053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2070/231, 7046/563.

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 2070/231,7046/563?

Given fractions are 2070/231,7046/563

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 2070/231,7046/563, numerators are 2070,7046

Denominators are 231,563

The GCF of 2070,7046 is 2 .

LCM of 231,563 is 130053.

The greatest common factor of 2070/231,7046/563 = [GCF of 2070,7046]/[LCM of 231,563]= 2/130053

Therefore, the GCF of 2070/231,7046/563 is 2/130053.

Greatest Common Factor of 2070,7046

To find the highest common factor of 2070,7046, we have to find the factors of both numbers and list the highest common factor.

The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070

The factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046

The HCF of 2070,7046 is 2.

Lets's calculate GCF of 2070,7046

Greatest Common Factor (GCF) of 2070,7046 By Common Division

2	2070, 7046
	1035, 3523

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

Greatest Common Factor of 2070,7046 By Matching Biggest Common Factor Method

Now, list down the factors of 2070

1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070

Now, list down the factors of 7046

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors 2070,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 2070,7046 is 2.

Lets's calculate LCM of 231,563

Lowest Common Multiple of 231,563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 130053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130053

Therefore, the GCF of Fractions 2070/231,7046/563 is 2/130053

Least Common Multiple of 231,563 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 231,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,563) = 1

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

GCF(231,563) x common factors =1 x 1 = 1

LCM(231,563) = ( 231 × 563 ) / 1

LCM(231,563) = 130053 / 1

LCM(231,563) = 130053

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2070/231, 7046/563

1. What is the HCF of 2070,7046?

The HCF of 2070,7046 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 2070/231, 7046/563?

Answer: GCF of Numerators as per given numbers 2070/231, 7046/563 is

GCF of Numerators i.e. for 2070,7046 is 2

LCM of denominators i.e. for 231,563 is 130053.

Thus, GCF of Fractions is 2/130053.Finally, GCF of Fractions for 2070/231, 7046/563 is 2/130053.