LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 457/478, 690/444

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 457/478, 690/444 i.e 1/106116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/478, 690/444.

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 457/478,690/444?

Given fractions are 457/478,690/444

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 457/478,690/444, numerators are 457,690

Denominators are 478,444

The GCF of 457,690 is 1 .

LCM of 478,444 is 106116.

The greatest common factor of 457/478,690/444 = [GCF of 457,690]/[LCM of 478,444]= 1/106116

Therefore, the GCF of 457/478,690/444 is 1/106116.

Greatest Common Factor of 457,690

To find the highest common factor of 457,690, we have to find the factors of both numbers and list the highest common factor.

The factors of 457 are 1, 457

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The HCF of 457,690 is 1.

Lets's calculate GCF of 457,690

Greatest Common Factor (GCF) of 457,690 By Common Division

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

Greatest Common Factor of 457,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,690 By Matching Biggest Common Factor Method

Now, list down the factors of 457

:

1,457

Now, list down the factors of 690

:

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 457,690 . The biggest common factor number is the GCF number.
So the greatest common factor 457,690 is 1.

Lets's calculate LCM of 478,444

Lowest Common Multiple of 478,444 using Common Division

2 478, 444
239, 222

∴ So the LCM of the given numbers is 2 x 239 x 222 = 106116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106116

Therefore, the GCF of Fractions 457/478,690/444 is 1/106116

Least Common Multiple of 478,444 with GCF Formula

Least Common Multiple of 478,444 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 478,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,444) = 2

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

GCF(478,444) x common factors =2 x 1 = 2

LCM(478,444) = ( 478 × 444 ) / 2

LCM(478,444) = 212232 / 2

LCM(478,444) = 106116


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 457/478, 690/444

1. What is the HCF of 457,690?

The HCF of 457,690 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 457/478, 690/444?

Answer: GCF of Numerators as per given numbers 457/478, 690/444 is

GCF of Numerators i.e. for 457,690 is 1

LCM of denominators i.e. for 478,444 is 106116.

Thus, GCF of Fractions is 1/106116.Finally, GCF of Fractions for 457/478, 690/444 is 1/106116.