How to Find GCF of 9136/923, 2771/7803?

GCF of 9136/923, 2771/7803

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 9136/923, 2771/7803 i.e 1/7202169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9136/923, 2771/7803.

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 9136/923,2771/7803?

Given fractions are 9136/923,2771/7803

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 9136/923,2771/7803, numerators are 9136,2771

Denominators are 923,7803

The GCF of 9136,2771 is 1 .

LCM of 923,7803 is 7202169.

The greatest common factor of 9136/923,2771/7803 = [GCF of 9136,2771]/[LCM of 923,7803]= 1/7202169

Therefore, the GCF of 9136/923,2771/7803 is 1/7202169.

Greatest Common Factor of 9136,2771

To find the highest common factor of 9136,2771, we have to find the factors of both numbers and list the highest common factor.

The factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

The factors of 2771 are 1, 17, 163, 2771

The HCF of 9136,2771 is 1.

Lets's calculate GCF of 9136,2771

Greatest Common Factor (GCF) of 9136,2771 By Common Division

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

Greatest Common Factor of 9136,2771 By Matching Biggest Common Factor Method

Now, list down the factors of 9136

1,2,4,8,16,571,1142,2284,4568,9136

Now, list down the factors of 2771

1,17,163,2771

Greatest Common Factor

We found the factors 9136,2771 . The biggest common factor number is the GCF number.
So the greatest common factor 9136,2771 is 1.

Lets's calculate LCM of 923,7803

Lowest Common Multiple of 923,7803 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7202169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7202169

Therefore, the GCF of Fractions 9136/923,2771/7803 is 1/7202169

Least Common Multiple of 923,7803 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 923,7803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,7803) = 1

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

GCF(923,7803) x common factors =1 x 1 = 1

LCM(923,7803) = ( 923 × 7803 ) / 1

LCM(923,7803) = 7202169 / 1

LCM(923,7803) = 7202169

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FAQs on GCF of Fractions of 9136/923, 2771/7803

1. What is the HCF of 9136,2771?

The HCF of 9136,2771 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 9136/923, 2771/7803?

Answer: GCF of Numerators as per given numbers 9136/923, 2771/7803 is

GCF of Numerators i.e. for 9136,2771 is 1

LCM of denominators i.e. for 923,7803 is 7202169.

Thus, GCF of Fractions is 1/7202169.Finally, GCF of Fractions for 9136/923, 2771/7803 is 1/7202169.