How to Find GCF of 8258/890, 6702/5319?

GCF of 8258/890, 6702/5319

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 8258/890, 6702/5319 i.e 2/4733910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8258/890, 6702/5319.

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 8258/890,6702/5319?

Given fractions are 8258/890,6702/5319

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 8258/890,6702/5319, numerators are 8258,6702

Denominators are 890,5319

The GCF of 8258,6702 is 2 .

LCM of 890,5319 is 4733910.

The greatest common factor of 8258/890,6702/5319 = [GCF of 8258,6702]/[LCM of 890,5319]= 2/4733910

Therefore, the GCF of 8258/890,6702/5319 is 2/4733910.

Greatest Common Factor of 8258,6702

To find the highest common factor of 8258,6702, we have to find the factors of both numbers and list the highest common factor.

The factors of 8258 are 1, 2, 4129, 8258

The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702

The HCF of 8258,6702 is 2.

Lets's calculate GCF of 8258,6702

Greatest Common Factor (GCF) of 8258,6702 By Common Division

2	8258, 6702
	4129, 3351

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

Greatest Common Factor of 8258,6702 By Matching Biggest Common Factor Method

Now, list down the factors of 8258

1,2,4129,8258

Now, list down the factors of 6702

1,2,3,6,1117,2234,3351,6702

Greatest Common Factor

We found the factors 8258,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 8258,6702 is 2.

Lets's calculate LCM of 890,5319

Lowest Common Multiple of 890,5319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4733910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4733910

Therefore, the GCF of Fractions 8258/890,6702/5319 is 2/4733910

Least Common Multiple of 890,5319 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 890,5319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,5319) = 1

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

GCF(890,5319) x common factors =1 x 1 = 1

LCM(890,5319) = ( 890 × 5319 ) / 1

LCM(890,5319) = 4733910 / 1

LCM(890,5319) = 4733910

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FAQs on GCF of Fractions of 8258/890, 6702/5319

1. What is the HCF of 8258,6702?

The HCF of 8258,6702 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 8258/890, 6702/5319?

Answer: GCF of Numerators as per given numbers 8258/890, 6702/5319 is

GCF of Numerators i.e. for 8258,6702 is 2

LCM of denominators i.e. for 890,5319 is 4733910.

Thus, GCF of Fractions is 2/4733910.Finally, GCF of Fractions for 8258/890, 6702/5319 is 2/4733910.