How to Find GCF of 4999/695, 4759/3663?

GCF of 4999/695, 4759/3663

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 4999/695, 4759/3663 i.e 1/2545785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4999/695, 4759/3663.

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 4999/695,4759/3663?

Given fractions are 4999/695,4759/3663

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 4999/695,4759/3663, numerators are 4999,4759

Denominators are 695,3663

The GCF of 4999,4759 is 1 .

LCM of 695,3663 is 2545785.

The greatest common factor of 4999/695,4759/3663 = [GCF of 4999,4759]/[LCM of 695,3663]= 1/2545785

Therefore, the GCF of 4999/695,4759/3663 is 1/2545785.

Greatest Common Factor of 4999,4759

To find the highest common factor of 4999,4759, we have to find the factors of both numbers and list the highest common factor.

The factors of 4999 are 1, 4999

The factors of 4759 are 1, 4759

The HCF of 4999,4759 is 1.

Lets's calculate GCF of 4999,4759

Greatest Common Factor (GCF) of 4999,4759 By Common Division

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

Greatest Common Factor of 4999,4759 By Matching Biggest Common Factor Method

Now, list down the factors of 4999

1,4999

Now, list down the factors of 4759

1,4759

Greatest Common Factor

We found the factors 4999,4759 . The biggest common factor number is the GCF number.
So the greatest common factor 4999,4759 is 1.

Lets's calculate LCM of 695,3663

Lowest Common Multiple of 695,3663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2545785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2545785

Therefore, the GCF of Fractions 4999/695,4759/3663 is 1/2545785

Least Common Multiple of 695,3663 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 695,3663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,3663) = 1

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

GCF(695,3663) x common factors =1 x 1 = 1

LCM(695,3663) = ( 695 × 3663 ) / 1

LCM(695,3663) = 2545785 / 1

LCM(695,3663) = 2545785

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FAQs on GCF of Fractions of 4999/695, 4759/3663

1. What is the HCF of 4999,4759?

The HCF of 4999,4759 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 4999/695, 4759/3663?

Answer: GCF of Numerators as per given numbers 4999/695, 4759/3663 is

GCF of Numerators i.e. for 4999,4759 is 1

LCM of denominators i.e. for 695,3663 is 2545785.

Thus, GCF of Fractions is 1/2545785.Finally, GCF of Fractions for 4999/695, 4759/3663 is 1/2545785.