How to Find GCF of 4703/325, 1599/4756?

GCF of 4703/325, 1599/4756

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 4703/325, 1599/4756 i.e 1/1545700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4703/325, 1599/4756.

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 4703/325,1599/4756?

Given fractions are 4703/325,1599/4756

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 4703/325,1599/4756, numerators are 4703,1599

Denominators are 325,4756

The GCF of 4703,1599 is 1 .

LCM of 325,4756 is 1545700.

The greatest common factor of 4703/325,1599/4756 = [GCF of 4703,1599]/[LCM of 325,4756]= 1/1545700

Therefore, the GCF of 4703/325,1599/4756 is 1/1545700.

Greatest Common Factor of 4703,1599

To find the highest common factor of 4703,1599, we have to find the factors of both numbers and list the highest common factor.

The factors of 4703 are 1, 4703

The factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599

The HCF of 4703,1599 is 1.

Lets's calculate GCF of 4703,1599

Greatest Common Factor (GCF) of 4703,1599 By Common Division

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

Greatest Common Factor of 4703,1599 By Matching Biggest Common Factor Method

Now, list down the factors of 4703

1,4703

Now, list down the factors of 1599

1,3,13,39,41,123,533,1599

Greatest Common Factor

We found the factors 4703,1599 . The biggest common factor number is the GCF number.
So the greatest common factor 4703,1599 is 1.

Lets's calculate LCM of 325,4756

Lowest Common Multiple of 325,4756 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1545700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1545700

Therefore, the GCF of Fractions 4703/325,1599/4756 is 1/1545700

Least Common Multiple of 325,4756 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 325,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,4756) = 1

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

GCF(325,4756) x common factors =1 x 1 = 1

LCM(325,4756) = ( 325 × 4756 ) / 1

LCM(325,4756) = 1545700 / 1

LCM(325,4756) = 1545700

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FAQs on GCF of Fractions of 4703/325, 1599/4756

1. What is the HCF of 4703,1599?

The HCF of 4703,1599 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 4703/325, 1599/4756?

Answer: GCF of Numerators as per given numbers 4703/325, 1599/4756 is

GCF of Numerators i.e. for 4703,1599 is 1

LCM of denominators i.e. for 325,4756 is 1545700.

Thus, GCF of Fractions is 1/1545700.Finally, GCF of Fractions for 4703/325, 1599/4756 is 1/1545700.