How to Find GCF of 6485/641, 6562/8070?

GCF of 6485/641, 6562/8070

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 6485/641, 6562/8070 i.e 1/5172870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6485/641, 6562/8070.

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 6485/641,6562/8070?

Given fractions are 6485/641,6562/8070

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 6485/641,6562/8070, numerators are 6485,6562

Denominators are 641,8070

The GCF of 6485,6562 is 1 .

LCM of 641,8070 is 5172870.

The greatest common factor of 6485/641,6562/8070 = [GCF of 6485,6562]/[LCM of 641,8070]= 1/5172870

Therefore, the GCF of 6485/641,6562/8070 is 1/5172870.

Greatest Common Factor of 6485,6562

To find the highest common factor of 6485,6562, we have to find the factors of both numbers and list the highest common factor.

The factors of 6485 are 1, 5, 1297, 6485

The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562

The HCF of 6485,6562 is 1.

Lets's calculate GCF of 6485,6562

Greatest Common Factor (GCF) of 6485,6562 By Common Division

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

Greatest Common Factor of 6485,6562 By Matching Biggest Common Factor Method

Now, list down the factors of 6485

1,5,1297,6485

Now, list down the factors of 6562

1,2,17,34,193,386,3281,6562

Greatest Common Factor

We found the factors 6485,6562 . The biggest common factor number is the GCF number.
So the greatest common factor 6485,6562 is 1.

Lets's calculate LCM of 641,8070

Lowest Common Multiple of 641,8070 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5172870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5172870

Therefore, the GCF of Fractions 6485/641,6562/8070 is 1/5172870

Least Common Multiple of 641,8070 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 641,8070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,8070) = 1

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

GCF(641,8070) x common factors =1 x 1 = 1

LCM(641,8070) = ( 641 × 8070 ) / 1

LCM(641,8070) = 5172870 / 1

LCM(641,8070) = 5172870

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FAQs on GCF of Fractions of 6485/641, 6562/8070

1. What is the HCF of 6485,6562?

The HCF of 6485,6562 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 6485/641, 6562/8070?

Answer: GCF of Numerators as per given numbers 6485/641, 6562/8070 is

GCF of Numerators i.e. for 6485,6562 is 1

LCM of denominators i.e. for 641,8070 is 5172870.

Thus, GCF of Fractions is 1/5172870.Finally, GCF of Fractions for 6485/641, 6562/8070 is 1/5172870.