How to Find GCF of 5693/284, 7979/2708?

GCF of 5693/284, 7979/2708

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 5693/284, 7979/2708 i.e 1/192268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5693/284, 7979/2708.

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 5693/284,7979/2708?

Given fractions are 5693/284,7979/2708

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 5693/284,7979/2708, numerators are 5693,7979

Denominators are 284,2708

The GCF of 5693,7979 is 1 .

LCM of 284,2708 is 192268.

The greatest common factor of 5693/284,7979/2708 = [GCF of 5693,7979]/[LCM of 284,2708]= 1/192268

Therefore, the GCF of 5693/284,7979/2708 is 1/192268.

Greatest Common Factor of 5693,7979

To find the highest common factor of 5693,7979, we have to find the factors of both numbers and list the highest common factor.

The factors of 5693 are 1, 5693

The factors of 7979 are 1, 79, 101, 7979

The HCF of 5693,7979 is 1.

Lets's calculate GCF of 5693,7979

Greatest Common Factor (GCF) of 5693,7979 By Common Division

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

Greatest Common Factor of 5693,7979 By Matching Biggest Common Factor Method

Now, list down the factors of 5693

1,5693

Now, list down the factors of 7979

1,79,101,7979

Greatest Common Factor

We found the factors 5693,7979 . The biggest common factor number is the GCF number.
So the greatest common factor 5693,7979 is 1.

Lets's calculate LCM of 284,2708

Lowest Common Multiple of 284,2708 using Common Division

2	284, 2708
2	142, 1354
	71, 677

∴ So the LCM of the given numbers is 2 x 2 x 71 x 677 = 192268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192268

Therefore, the GCF of Fractions 5693/284,7979/2708 is 1/192268

Least Common Multiple of 284,2708 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 284,2708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,2708) = 4

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

GCF(284,2708) x common factors =4 x 1 = 4

LCM(284,2708) = ( 284 × 2708 ) / 4

LCM(284,2708) = 769072 / 4

LCM(284,2708) = 192268

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FAQs on GCF of Fractions of 5693/284, 7979/2708

1. What is the HCF of 5693,7979?

The HCF of 5693,7979 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 5693/284, 7979/2708?

Answer: GCF of Numerators as per given numbers 5693/284, 7979/2708 is

GCF of Numerators i.e. for 5693,7979 is 1

LCM of denominators i.e. for 284,2708 is 192268.

Thus, GCF of Fractions is 1/192268.Finally, GCF of Fractions for 5693/284, 7979/2708 is 1/192268.