How to Find GCF of 5431/923, 7351/6427?

GCF of 5431/923, 7351/6427

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 5431/923, 7351/6427 i.e 1/5932121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5431/923, 7351/6427.

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 5431/923,7351/6427?

Given fractions are 5431/923,7351/6427

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 5431/923,7351/6427, numerators are 5431,7351

Denominators are 923,6427

The GCF of 5431,7351 is 1 .

LCM of 923,6427 is 5932121.

The greatest common factor of 5431/923,7351/6427 = [GCF of 5431,7351]/[LCM of 923,6427]= 1/5932121

Therefore, the GCF of 5431/923,7351/6427 is 1/5932121.

Greatest Common Factor of 5431,7351

To find the highest common factor of 5431,7351, we have to find the factors of both numbers and list the highest common factor.

The factors of 5431 are 1, 5431

The factors of 7351 are 1, 7351

The HCF of 5431,7351 is 1.

Lets's calculate GCF of 5431,7351

Greatest Common Factor (GCF) of 5431,7351 By Common Division

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

Greatest Common Factor of 5431,7351 By Matching Biggest Common Factor Method

Now, list down the factors of 5431

1,5431

Now, list down the factors of 7351

1,7351

Greatest Common Factor

We found the factors 5431,7351 . The biggest common factor number is the GCF number.
So the greatest common factor 5431,7351 is 1.

Lets's calculate LCM of 923,6427

Lowest Common Multiple of 923,6427 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5932121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5932121

Therefore, the GCF of Fractions 5431/923,7351/6427 is 1/5932121

Least Common Multiple of 923,6427 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 923,6427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,6427) = 1

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

GCF(923,6427) x common factors =1 x 1 = 1

LCM(923,6427) = ( 923 × 6427 ) / 1

LCM(923,6427) = 5932121 / 1

LCM(923,6427) = 5932121

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FAQs on GCF of Fractions of 5431/923, 7351/6427

1. What is the HCF of 5431,7351?

The HCF of 5431,7351 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 5431/923, 7351/6427?

Answer: GCF of Numerators as per given numbers 5431/923, 7351/6427 is

GCF of Numerators i.e. for 5431,7351 is 1

LCM of denominators i.e. for 923,6427 is 5932121.

Thus, GCF of Fractions is 1/5932121.Finally, GCF of Fractions for 5431/923, 7351/6427 is 1/5932121.