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 478/940, 457/705

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 478/940, 457/705 i.e 1/2820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/940, 457/705.

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 478/940,457/705?

Given fractions are 478/940,457/705

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 478/940,457/705, numerators are 478,457

Denominators are 940,705

The GCF of 478,457 is 1 .

LCM of 940,705 is 2820.

The greatest common factor of 478/940,457/705 = [GCF of 478,457]/[LCM of 940,705]= 1/2820

Therefore, the GCF of 478/940,457/705 is 1/2820.

Greatest Common Factor of 478,457

To find the highest common factor of 478,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 478 are 1, 2, 239, 478

The factors of 457 are 1, 457

The HCF of 478,457 is 1.

Lets's calculate GCF of 478,457

Greatest Common Factor (GCF) of 478,457 By Common Division

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

Greatest Common Factor of 478,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,457 By Matching Biggest Common Factor Method

Now, list down the factors of 478

:

1,2,239,478

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 478,457 . The biggest common factor number is the GCF number.
So the greatest common factor 478,457 is 1.

Lets's calculate LCM of 940,705

Lowest Common Multiple of 940,705 using Common Division

5 940, 705
47 188, 141
4, 3

∴ So the LCM of the given numbers is 5 x 47 x 4 x 3 = 2820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2820

Therefore, the GCF of Fractions 478/940,457/705 is 1/2820

Least Common Multiple of 940,705 with GCF Formula

Least Common Multiple of 940,705 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 940,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,705) = 235

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

GCF(940,705) x common factors =235 x 1 = 235

LCM(940,705) = ( 940 × 705 ) / 235

LCM(940,705) = 662700 / 235

LCM(940,705) = 2820


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 478/940, 457/705

1. What is the HCF of 478,457?

The HCF of 478,457 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 478/940, 457/705?

Answer: GCF of Numerators as per given numbers 478/940, 457/705 is

GCF of Numerators i.e. for 478,457 is 1

LCM of denominators i.e. for 940,705 is 2820.

Thus, GCF of Fractions is 1/2820.Finally, GCF of Fractions for 478/940, 457/705 is 1/2820.