How to Find GCF of 6163/496, 1638/370?

GCF of 6163/496, 1638/370

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 6163/496, 1638/370 i.e 1/91760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6163/496, 1638/370.

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 6163/496,1638/370?

Given fractions are 6163/496,1638/370

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 6163/496,1638/370, numerators are 6163,1638

Denominators are 496,370

The GCF of 6163,1638 is 1 .

LCM of 496,370 is 91760.

The greatest common factor of 6163/496,1638/370 = [GCF of 6163,1638]/[LCM of 496,370]= 1/91760

Therefore, the GCF of 6163/496,1638/370 is 1/91760.

Greatest Common Factor of 6163,1638

To find the highest common factor of 6163,1638, we have to find the factors of both numbers and list the highest common factor.

The factors of 6163 are 1, 6163

The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638

The HCF of 6163,1638 is 1.

Lets's calculate GCF of 6163,1638

Greatest Common Factor (GCF) of 6163,1638 By Common Division

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

Greatest Common Factor of 6163,1638 By Matching Biggest Common Factor Method

Now, list down the factors of 6163

1,6163

Now, list down the factors of 1638

1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638

Greatest Common Factor

We found the factors 6163,1638 . The biggest common factor number is the GCF number.
So the greatest common factor 6163,1638 is 1.

Lets's calculate LCM of 496,370

Lowest Common Multiple of 496,370 using Common Division

2	496, 370
	248, 185

∴ So the LCM of the given numbers is 2 x 248 x 185 = 91760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91760

Therefore, the GCF of Fractions 6163/496,1638/370 is 1/91760

Least Common Multiple of 496,370 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 496,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,370) = 2

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

GCF(496,370) x common factors =2 x 1 = 2

LCM(496,370) = ( 496 × 370 ) / 2

LCM(496,370) = 183520 / 2

LCM(496,370) = 91760

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FAQs on GCF of Fractions of 6163/496, 1638/370

1. What is the HCF of 6163,1638?

The HCF of 6163,1638 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 6163/496, 1638/370?

Answer: GCF of Numerators as per given numbers 6163/496, 1638/370 is

GCF of Numerators i.e. for 6163,1638 is 1

LCM of denominators i.e. for 496,370 is 91760.

Thus, GCF of Fractions is 1/91760.Finally, GCF of Fractions for 6163/496, 1638/370 is 1/91760.