How to Find GCF of 1801/956, 5659/9221?

GCF of 1801/956, 5659/9221

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 1801/956, 5659/9221 i.e 1/8815276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1801/956, 5659/9221.

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 1801/956,5659/9221?

Given fractions are 1801/956,5659/9221

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 1801/956,5659/9221, numerators are 1801,5659

Denominators are 956,9221

The GCF of 1801,5659 is 1 .

LCM of 956,9221 is 8815276.

The greatest common factor of 1801/956,5659/9221 = [GCF of 1801,5659]/[LCM of 956,9221]= 1/8815276

Therefore, the GCF of 1801/956,5659/9221 is 1/8815276.

Greatest Common Factor of 1801,5659

To find the highest common factor of 1801,5659, we have to find the factors of both numbers and list the highest common factor.

The factors of 1801 are 1, 1801

The factors of 5659 are 1, 5659

The HCF of 1801,5659 is 1.

Lets's calculate GCF of 1801,5659

Greatest Common Factor (GCF) of 1801,5659 By Common Division

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

Greatest Common Factor of 1801,5659 By Matching Biggest Common Factor Method

Now, list down the factors of 1801

1,1801

Now, list down the factors of 5659

1,5659

Greatest Common Factor

We found the factors 1801,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 1801,5659 is 1.

Lets's calculate LCM of 956,9221

Lowest Common Multiple of 956,9221 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8815276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8815276

Therefore, the GCF of Fractions 1801/956,5659/9221 is 1/8815276

Least Common Multiple of 956,9221 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 956,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,9221) = 1

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

GCF(956,9221) x common factors =1 x 1 = 1

LCM(956,9221) = ( 956 × 9221 ) / 1

LCM(956,9221) = 8815276 / 1

LCM(956,9221) = 8815276

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1801/956, 5659/9221

1. What is the HCF of 1801,5659?

The HCF of 1801,5659 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 1801/956, 5659/9221?

Answer: GCF of Numerators as per given numbers 1801/956, 5659/9221 is

GCF of Numerators i.e. for 1801,5659 is 1

LCM of denominators i.e. for 956,9221 is 8815276.

Thus, GCF of Fractions is 1/8815276.Finally, GCF of Fractions for 1801/956, 5659/9221 is 1/8815276.