How to Find GCF of 5914/377, 1045/8289?

GCF of 5914/377, 1045/8289

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 5914/377, 1045/8289 i.e 1/3124953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5914/377, 1045/8289.

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 5914/377,1045/8289?

Given fractions are 5914/377,1045/8289

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 5914/377,1045/8289, numerators are 5914,1045

Denominators are 377,8289

The GCF of 5914,1045 is 1 .

LCM of 377,8289 is 3124953.

The greatest common factor of 5914/377,1045/8289 = [GCF of 5914,1045]/[LCM of 377,8289]= 1/3124953

Therefore, the GCF of 5914/377,1045/8289 is 1/3124953.

Greatest Common Factor of 5914,1045

To find the highest common factor of 5914,1045, we have to find the factors of both numbers and list the highest common factor.

The factors of 5914 are 1, 2, 2957, 5914

The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045

The HCF of 5914,1045 is 1.

Lets's calculate GCF of 5914,1045

Greatest Common Factor (GCF) of 5914,1045 By Common Division

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

Greatest Common Factor of 5914,1045 By Matching Biggest Common Factor Method

Now, list down the factors of 5914

1,2,2957,5914

Now, list down the factors of 1045

1,5,11,19,55,95,209,1045

Greatest Common Factor

We found the factors 5914,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 5914,1045 is 1.

Lets's calculate LCM of 377,8289

Lowest Common Multiple of 377,8289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3124953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3124953

Therefore, the GCF of Fractions 5914/377,1045/8289 is 1/3124953

Least Common Multiple of 377,8289 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 377,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,8289) = 1

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

GCF(377,8289) x common factors =1 x 1 = 1

LCM(377,8289) = ( 377 × 8289 ) / 1

LCM(377,8289) = 3124953 / 1

LCM(377,8289) = 3124953

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FAQs on GCF of Fractions of 5914/377, 1045/8289

1. What is the HCF of 5914,1045?

The HCF of 5914,1045 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 5914/377, 1045/8289?

Answer: GCF of Numerators as per given numbers 5914/377, 1045/8289 is

GCF of Numerators i.e. for 5914,1045 is 1

LCM of denominators i.e. for 377,8289 is 3124953.

Thus, GCF of Fractions is 1/3124953.Finally, GCF of Fractions for 5914/377, 1045/8289 is 1/3124953.