How to Find GCF of 8898/298, 6490/7038?

GCF of 8898/298, 6490/7038

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 8898/298, 6490/7038 i.e 2/1048662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8898/298, 6490/7038.

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 8898/298,6490/7038?

Given fractions are 8898/298,6490/7038

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 8898/298,6490/7038, numerators are 8898,6490

Denominators are 298,7038

The GCF of 8898,6490 is 2 .

LCM of 298,7038 is 1048662.

The greatest common factor of 8898/298,6490/7038 = [GCF of 8898,6490]/[LCM of 298,7038]= 2/1048662

Therefore, the GCF of 8898/298,6490/7038 is 2/1048662.

Greatest Common Factor of 8898,6490

To find the highest common factor of 8898,6490, we have to find the factors of both numbers and list the highest common factor.

The factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898

The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490

The HCF of 8898,6490 is 2.

Lets's calculate GCF of 8898,6490

Greatest Common Factor (GCF) of 8898,6490 By Common Division

2	8898, 6490
	4449, 3245

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

Greatest Common Factor of 8898,6490 By Matching Biggest Common Factor Method

Now, list down the factors of 8898

1,2,3,6,1483,2966,4449,8898

Now, list down the factors of 6490

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Greatest Common Factor

We found the factors 8898,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 8898,6490 is 2.

Lets's calculate LCM of 298,7038

Lowest Common Multiple of 298,7038 using Common Division

2	298, 7038
	149, 3519

∴ So the LCM of the given numbers is 2 x 149 x 3519 = 1048662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1048662

Therefore, the GCF of Fractions 8898/298,6490/7038 is 2/1048662

Least Common Multiple of 298,7038 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 298,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,7038) = 2

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

GCF(298,7038) x common factors =2 x 1 = 2

LCM(298,7038) = ( 298 × 7038 ) / 2

LCM(298,7038) = 2097324 / 2

LCM(298,7038) = 1048662

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FAQs on GCF of Fractions of 8898/298, 6490/7038

1. What is the HCF of 8898,6490?

The HCF of 8898,6490 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 8898/298, 6490/7038?

Answer: GCF of Numerators as per given numbers 8898/298, 6490/7038 is

GCF of Numerators i.e. for 8898,6490 is 2

LCM of denominators i.e. for 298,7038 is 1048662.

Thus, GCF of Fractions is 2/1048662.Finally, GCF of Fractions for 8898/298, 6490/7038 is 2/1048662.