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GCF of 534/455, 457/568

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 534/455, 457/568 i.e 1/258440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/455, 457/568.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 534/455,457/568?

Given fractions are 534/455,457/568

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 534/455,457/568, numerators are 534,457

Denominators are 455,568

The GCF of 534,457 is 1 .

LCM of 455,568 is 258440.

The greatest common factor of 534/455,457/568 = [GCF of 534,457]/[LCM of 455,568]= 1/258440

Therefore, the GCF of 534/455,457/568 is 1/258440.

Greatest Common Factor of 534,457

To find the highest common factor of 534,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534

The factors of 457 are 1, 457

The HCF of 534,457 is 1.

Lets's calculate GCF of 534,457

Greatest Common Factor (GCF) of 534,457 By Common Division

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

Greatest Common Factor of 534,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,457 By Matching Biggest Common Factor Method

Now, list down the factors of 534

:

1,2,3,6,89,178,267,534

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 534,457 . The biggest common factor number is the GCF number.
So the greatest common factor 534,457 is 1.

Lets's calculate LCM of 455,568

Lowest Common Multiple of 455,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 258440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258440

Therefore, the GCF of Fractions 534/455,457/568 is 1/258440

Least Common Multiple of 455,568 with GCF Formula

Least Common Multiple of 455,568 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 455,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,568) = 1

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

GCF(455,568) x common factors =1 x 1 = 1

LCM(455,568) = ( 455 × 568 ) / 1

LCM(455,568) = 258440 / 1

LCM(455,568) = 258440


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FAQs on GCF of Fractions of 534/455, 457/568

1. What is the HCF of 534,457?

The HCF of 534,457 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 534/455, 457/568?

Answer: GCF of Numerators as per given numbers 534/455, 457/568 is

GCF of Numerators i.e. for 534,457 is 1

LCM of denominators i.e. for 455,568 is 258440.

Thus, GCF of Fractions is 1/258440.Finally, GCF of Fractions for 534/455, 457/568 is 1/258440.