How to Find GCF of 6457/257, 5554/1169?

GCF of 6457/257, 5554/1169

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 6457/257, 5554/1169 i.e 1/300433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6457/257, 5554/1169.

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 6457/257,5554/1169?

Given fractions are 6457/257,5554/1169

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 6457/257,5554/1169, numerators are 6457,5554

Denominators are 257,1169

The GCF of 6457,5554 is 1 .

LCM of 257,1169 is 300433.

The greatest common factor of 6457/257,5554/1169 = [GCF of 6457,5554]/[LCM of 257,1169]= 1/300433

Therefore, the GCF of 6457/257,5554/1169 is 1/300433.

Greatest Common Factor of 6457,5554

To find the highest common factor of 6457,5554, we have to find the factors of both numbers and list the highest common factor.

The factors of 6457 are 1, 11, 587, 6457

The factors of 5554 are 1, 2, 2777, 5554

The HCF of 6457,5554 is 1.

Lets's calculate GCF of 6457,5554

Greatest Common Factor (GCF) of 6457,5554 By Common Division

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

Greatest Common Factor of 6457,5554 By Matching Biggest Common Factor Method

Now, list down the factors of 6457

1,11,587,6457

Now, list down the factors of 5554

1,2,2777,5554

Greatest Common Factor

We found the factors 6457,5554 . The biggest common factor number is the GCF number.
So the greatest common factor 6457,5554 is 1.

Lets's calculate LCM of 257,1169

Lowest Common Multiple of 257,1169 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 300433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300433

Therefore, the GCF of Fractions 6457/257,5554/1169 is 1/300433

Least Common Multiple of 257,1169 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 257,1169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,1169) = 1

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

GCF(257,1169) x common factors =1 x 1 = 1

LCM(257,1169) = ( 257 × 1169 ) / 1

LCM(257,1169) = 300433 / 1

LCM(257,1169) = 300433

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FAQs on GCF of Fractions of 6457/257, 5554/1169

1. What is the HCF of 6457,5554?

The HCF of 6457,5554 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 6457/257, 5554/1169?

Answer: GCF of Numerators as per given numbers 6457/257, 5554/1169 is

GCF of Numerators i.e. for 6457,5554 is 1

LCM of denominators i.e. for 257,1169 is 300433.

Thus, GCF of Fractions is 1/300433.Finally, GCF of Fractions for 6457/257, 5554/1169 is 1/300433.