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GCF of 18/942, 4490/2657

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 18/942, 4490/2657 i.e 2/2502894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/942, 4490/2657.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 18/942,4490/2657?

Given fractions are 18/942,4490/2657

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 18/942,4490/2657, numerators are 18,4490

Denominators are 942,2657

The GCF of 18,4490 is 2 .

LCM of 942,2657 is 2502894.

The greatest common factor of 18/942,4490/2657 = [GCF of 18,4490]/[LCM of 942,2657]= 2/2502894

Therefore, the GCF of 18/942,4490/2657 is 2/2502894.

Greatest Common Factor of 18,4490

To find the highest common factor of 18,4490, we have to find the factors of both numbers and list the highest common factor.

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490

The HCF of 18,4490 is 2.

Lets's calculate GCF of 18,4490

Greatest Common Factor (GCF) of 18,4490 By Common Division

2 18, 4490
9, 2245

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

Greatest Common Factor of 18,4490 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,4490 By Matching Biggest Common Factor Method

Now, list down the factors of 18

:

1,2,3,6,9,18

Now, list down the factors of 4490

:

1,2,5,10,449,898,2245,4490

Greatest Common Factor

We found the factors 18,4490 . The biggest common factor number is the GCF number.
So the greatest common factor 18,4490 is 2.

Lets's calculate LCM of 942,2657

Lowest Common Multiple of 942,2657 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2502894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2502894

Therefore, the GCF of Fractions 18/942,4490/2657 is 2/2502894

Least Common Multiple of 942,2657 with GCF Formula

Least Common Multiple of 942,2657 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 942,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,2657) = 1

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

GCF(942,2657) x common factors =1 x 1 = 1

LCM(942,2657) = ( 942 × 2657 ) / 1

LCM(942,2657) = 2502894 / 1

LCM(942,2657) = 2502894


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 18/942, 4490/2657

1. What is the HCF of 18,4490?

The HCF of 18,4490 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 18/942, 4490/2657?

Answer: GCF of Numerators as per given numbers 18/942, 4490/2657 is

GCF of Numerators i.e. for 18,4490 is 2

LCM of denominators i.e. for 942,2657 is 2502894.

Thus, GCF of Fractions is 2/2502894.Finally, GCF of Fractions for 18/942, 4490/2657 is 2/2502894.