How to Find GCF of 1751/165, 7795/181?

GCF of 1751/165, 7795/181

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 1751/165, 7795/181 i.e 1/29865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1751/165, 7795/181.

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 1751/165,7795/181?

Given fractions are 1751/165,7795/181

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 1751/165,7795/181, numerators are 1751,7795

Denominators are 165,181

The GCF of 1751,7795 is 1 .

LCM of 165,181 is 29865.

The greatest common factor of 1751/165,7795/181 = [GCF of 1751,7795]/[LCM of 165,181]= 1/29865

Therefore, the GCF of 1751/165,7795/181 is 1/29865.

Greatest Common Factor of 1751,7795

To find the highest common factor of 1751,7795, we have to find the factors of both numbers and list the highest common factor.

The factors of 1751 are 1, 17, 103, 1751

The factors of 7795 are 1, 5, 1559, 7795

The HCF of 1751,7795 is 1.

Lets's calculate GCF of 1751,7795

Greatest Common Factor (GCF) of 1751,7795 By Common Division

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

Greatest Common Factor of 1751,7795 By Matching Biggest Common Factor Method

Now, list down the factors of 1751

1,17,103,1751

Now, list down the factors of 7795

1,5,1559,7795

Greatest Common Factor

We found the factors 1751,7795 . The biggest common factor number is the GCF number.
So the greatest common factor 1751,7795 is 1.

Lets's calculate LCM of 165,181

Lowest Common Multiple of 165,181 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29865

Therefore, the GCF of Fractions 1751/165,7795/181 is 1/29865

Least Common Multiple of 165,181 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 165,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,181) = 1

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

GCF(165,181) x common factors =1 x 1 = 1

LCM(165,181) = ( 165 × 181 ) / 1

LCM(165,181) = 29865 / 1

LCM(165,181) = 29865

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FAQs on GCF of Fractions of 1751/165, 7795/181

1. What is the HCF of 1751,7795?

The HCF of 1751,7795 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 1751/165, 7795/181?

Answer: GCF of Numerators as per given numbers 1751/165, 7795/181 is

GCF of Numerators i.e. for 1751,7795 is 1

LCM of denominators i.e. for 165,181 is 29865.

Thus, GCF of Fractions is 1/29865.Finally, GCF of Fractions for 1751/165, 7795/181 is 1/29865.