How to Find GCF of 4062/695, 4649/8793?

GCF of 4062/695, 4649/8793

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 4062/695, 4649/8793 i.e 1/6111135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4062/695, 4649/8793.

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 4062/695,4649/8793?

Given fractions are 4062/695,4649/8793

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 4062/695,4649/8793, numerators are 4062,4649

Denominators are 695,8793

The GCF of 4062,4649 is 1 .

LCM of 695,8793 is 6111135.

The greatest common factor of 4062/695,4649/8793 = [GCF of 4062,4649]/[LCM of 695,8793]= 1/6111135

Therefore, the GCF of 4062/695,4649/8793 is 1/6111135.

Greatest Common Factor of 4062,4649

To find the highest common factor of 4062,4649, we have to find the factors of both numbers and list the highest common factor.

The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062

The factors of 4649 are 1, 4649

The HCF of 4062,4649 is 1.

Lets's calculate GCF of 4062,4649

Greatest Common Factor (GCF) of 4062,4649 By Common Division

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

Greatest Common Factor of 4062,4649 By Matching Biggest Common Factor Method

Now, list down the factors of 4062

1,2,3,6,677,1354,2031,4062

Now, list down the factors of 4649

1,4649

Greatest Common Factor

We found the factors 4062,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 4062,4649 is 1.

Lets's calculate LCM of 695,8793

Lowest Common Multiple of 695,8793 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6111135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6111135

Therefore, the GCF of Fractions 4062/695,4649/8793 is 1/6111135

Least Common Multiple of 695,8793 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 695,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,8793) = 1

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

GCF(695,8793) x common factors =1 x 1 = 1

LCM(695,8793) = ( 695 × 8793 ) / 1

LCM(695,8793) = 6111135 / 1

LCM(695,8793) = 6111135

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FAQs on GCF of Fractions of 4062/695, 4649/8793

1. What is the HCF of 4062,4649?

The HCF of 4062,4649 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 4062/695, 4649/8793?

Answer: GCF of Numerators as per given numbers 4062/695, 4649/8793 is

GCF of Numerators i.e. for 4062,4649 is 1

LCM of denominators i.e. for 695,8793 is 6111135.

Thus, GCF of Fractions is 1/6111135.Finally, GCF of Fractions for 4062/695, 4649/8793 is 1/6111135.