How to Find GCF of 3170/989, 6490/5838?

GCF of 3170/989, 6490/5838

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 3170/989, 6490/5838 i.e 10/5773782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3170/989, 6490/5838.

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 3170/989,6490/5838?

Given fractions are 3170/989,6490/5838

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 3170/989,6490/5838, numerators are 3170,6490

Denominators are 989,5838

The GCF of 3170,6490 is 10 .

LCM of 989,5838 is 5773782.

The greatest common factor of 3170/989,6490/5838 = [GCF of 3170,6490]/[LCM of 989,5838]= 10/5773782

Therefore, the GCF of 3170/989,6490/5838 is 10/5773782.

Greatest Common Factor of 3170,6490

To find the highest common factor of 3170,6490, we have to find the factors of both numbers and list the highest common factor.

The factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170

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

The HCF of 3170,6490 is 10.

Lets's calculate GCF of 3170,6490

Greatest Common Factor (GCF) of 3170,6490 By Common Division

2	3170, 6490
5	1585, 3245
	317, 649

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3170,6490 By Matching Biggest Common Factor Method

Now, list down the factors of 3170

1,2,5,10,317,634,1585,3170

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 3170,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 3170,6490 is 10.

Lets's calculate LCM of 989,5838

Lowest Common Multiple of 989,5838 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5773782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5773782

Therefore, the GCF of Fractions 3170/989,6490/5838 is 10/5773782

Least Common Multiple of 989,5838 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 989,5838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,5838) = 1

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

GCF(989,5838) x common factors =1 x 1 = 1

LCM(989,5838) = ( 989 × 5838 ) / 1

LCM(989,5838) = 5773782 / 1

LCM(989,5838) = 5773782

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3170/989, 6490/5838

1. What is the HCF of 3170,6490?

The HCF of 3170,6490 is 10

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 3170/989, 6490/5838?

Answer: GCF of Numerators as per given numbers 3170/989, 6490/5838 is

GCF of Numerators i.e. for 3170,6490 is 10

LCM of denominators i.e. for 989,5838 is 5773782.

Thus, GCF of Fractions is 10/5773782.Finally, GCF of Fractions for 3170/989, 6490/5838 is 10/5773782.