How to Find GCF of 4167/695, 1481/2805?

GCF of 4167/695, 1481/2805

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 4167/695, 1481/2805 i.e 1/389895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4167/695, 1481/2805.

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 4167/695,1481/2805?

Given fractions are 4167/695,1481/2805

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 4167/695,1481/2805, numerators are 4167,1481

Denominators are 695,2805

The GCF of 4167,1481 is 1 .

LCM of 695,2805 is 389895.

The greatest common factor of 4167/695,1481/2805 = [GCF of 4167,1481]/[LCM of 695,2805]= 1/389895

Therefore, the GCF of 4167/695,1481/2805 is 1/389895.

Greatest Common Factor of 4167,1481

To find the highest common factor of 4167,1481, we have to find the factors of both numbers and list the highest common factor.

The factors of 4167 are 1, 3, 9, 463, 1389, 4167

The factors of 1481 are 1, 1481

The HCF of 4167,1481 is 1.

Lets's calculate GCF of 4167,1481

Greatest Common Factor (GCF) of 4167,1481 By Common Division

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

Greatest Common Factor of 4167,1481 By Matching Biggest Common Factor Method

Now, list down the factors of 4167

1,3,9,463,1389,4167

Now, list down the factors of 1481

1,1481

Greatest Common Factor

We found the factors 4167,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 4167,1481 is 1.

Lets's calculate LCM of 695,2805

Lowest Common Multiple of 695,2805 using Common Division

5	695, 2805
	139, 561

∴ So the LCM of the given numbers is 5 x 139 x 561 = 389895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389895

Therefore, the GCF of Fractions 4167/695,1481/2805 is 1/389895

Least Common Multiple of 695,2805 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 695,2805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,2805) = 5

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

GCF(695,2805) x common factors =5 x 1 = 5

LCM(695,2805) = ( 695 × 2805 ) / 5

LCM(695,2805) = 1949475 / 5

LCM(695,2805) = 389895

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FAQs on GCF of Fractions of 4167/695, 1481/2805

1. What is the HCF of 4167,1481?

The HCF of 4167,1481 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 4167/695, 1481/2805?

Answer: GCF of Numerators as per given numbers 4167/695, 1481/2805 is

GCF of Numerators i.e. for 4167,1481 is 1

LCM of denominators i.e. for 695,2805 is 389895.

Thus, GCF of Fractions is 1/389895.Finally, GCF of Fractions for 4167/695, 1481/2805 is 1/389895.