How to Find GCF of 2079/274, 8023/700?

GCF of 2079/274, 8023/700

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 2079/274, 8023/700 i.e 1/95900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2079/274, 8023/700.

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 2079/274,8023/700?

Given fractions are 2079/274,8023/700

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 2079/274,8023/700, numerators are 2079,8023

Denominators are 274,700

The GCF of 2079,8023 is 1 .

LCM of 274,700 is 95900.

The greatest common factor of 2079/274,8023/700 = [GCF of 2079,8023]/[LCM of 274,700]= 1/95900

Therefore, the GCF of 2079/274,8023/700 is 1/95900.

Greatest Common Factor of 2079,8023

To find the highest common factor of 2079,8023, we have to find the factors of both numbers and list the highest common factor.

The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079

The factors of 8023 are 1, 71, 113, 8023

The HCF of 2079,8023 is 1.

Lets's calculate GCF of 2079,8023

Greatest Common Factor (GCF) of 2079,8023 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2079,8023 By Matching Biggest Common Factor Method

Now, list down the factors of 2079

1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079

Now, list down the factors of 8023

1,71,113,8023

Greatest Common Factor

We found the factors 2079,8023 . The biggest common factor number is the GCF number.
So the greatest common factor 2079,8023 is 1.

Lets's calculate LCM of 274,700

Lowest Common Multiple of 274,700 using Common Division

2	274, 700
	137, 350

∴ So the LCM of the given numbers is 2 x 137 x 350 = 95900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95900

Therefore, the GCF of Fractions 2079/274,8023/700 is 1/95900

Least Common Multiple of 274,700 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 274,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,700) = 2

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

GCF(274,700) x common factors =2 x 1 = 2

LCM(274,700) = ( 274 × 700 ) / 2

LCM(274,700) = 191800 / 2

LCM(274,700) = 95900

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FAQs on GCF of Fractions of 2079/274, 8023/700

1. What is the HCF of 2079,8023?

The HCF of 2079,8023 is 1

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 2079/274, 8023/700?

Answer: GCF of Numerators as per given numbers 2079/274, 8023/700 is

GCF of Numerators i.e. for 2079,8023 is 1

LCM of denominators i.e. for 274,700 is 95900.

Thus, GCF of Fractions is 1/95900.Finally, GCF of Fractions for 2079/274, 8023/700 is 1/95900.