How to Find GCF of 1993/622, 6308/4352?

GCF of 1993/622, 6308/4352

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 1993/622, 6308/4352 i.e 1/1353472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1993/622, 6308/4352.

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 1993/622,6308/4352?

Given fractions are 1993/622,6308/4352

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 1993/622,6308/4352, numerators are 1993,6308

Denominators are 622,4352

The GCF of 1993,6308 is 1 .

LCM of 622,4352 is 1353472.

The greatest common factor of 1993/622,6308/4352 = [GCF of 1993,6308]/[LCM of 622,4352]= 1/1353472

Therefore, the GCF of 1993/622,6308/4352 is 1/1353472.

Greatest Common Factor of 1993,6308

To find the highest common factor of 1993,6308, we have to find the factors of both numbers and list the highest common factor.

The factors of 1993 are 1, 1993

The factors of 6308 are 1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154, 6308

The HCF of 1993,6308 is 1.

Lets's calculate GCF of 1993,6308

Greatest Common Factor (GCF) of 1993,6308 By Common Division

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

Greatest Common Factor of 1993,6308 By Matching Biggest Common Factor Method

Now, list down the factors of 1993

1,1993

Now, list down the factors of 6308

1,2,4,19,38,76,83,166,332,1577,3154,6308

Greatest Common Factor

We found the factors 1993,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 1993,6308 is 1.

Lets's calculate LCM of 622,4352

Lowest Common Multiple of 622,4352 using Common Division

2	622, 4352
	311, 2176

∴ So the LCM of the given numbers is 2 x 311 x 2176 = 1353472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1353472

Therefore, the GCF of Fractions 1993/622,6308/4352 is 1/1353472

Least Common Multiple of 622,4352 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 622,4352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,4352) = 2

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

GCF(622,4352) x common factors =2 x 1 = 2

LCM(622,4352) = ( 622 × 4352 ) / 2

LCM(622,4352) = 2706944 / 2

LCM(622,4352) = 1353472

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FAQs on GCF of Fractions of 1993/622, 6308/4352

1. What is the HCF of 1993,6308?

The HCF of 1993,6308 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 1993/622, 6308/4352?

Answer: GCF of Numerators as per given numbers 1993/622, 6308/4352 is

GCF of Numerators i.e. for 1993,6308 is 1

LCM of denominators i.e. for 622,4352 is 1353472.

Thus, GCF of Fractions is 1/1353472.Finally, GCF of Fractions for 1993/622, 6308/4352 is 1/1353472.