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 454/61, 440/785

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 454/61, 440/785 i.e 2/47885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/61, 440/785.

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 454/61,440/785?

Given fractions are 454/61,440/785

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 454/61,440/785, numerators are 454,440

Denominators are 61,785

The GCF of 454,440 is 2 .

LCM of 61,785 is 47885.

The greatest common factor of 454/61,440/785 = [GCF of 454,440]/[LCM of 61,785]= 2/47885

Therefore, the GCF of 454/61,440/785 is 2/47885.

Greatest Common Factor of 454,440

To find the highest common factor of 454,440, we have to find the factors of both numbers and list the highest common factor.

The factors of 454 are 1, 2, 227, 454

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The HCF of 454,440 is 2.

Lets's calculate GCF of 454,440

Greatest Common Factor (GCF) of 454,440 By Common Division

2 454, 440
227, 220

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 454,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,440 By Matching Biggest Common Factor Method

Now, list down the factors of 454

:

1,2,227,454

Now, list down the factors of 440

:

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 454,440 . The biggest common factor number is the GCF number.
So the greatest common factor 454,440 is 2.

Lets's calculate LCM of 61,785

Lowest Common Multiple of 61,785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47885

Therefore, the GCF of Fractions 454/61,440/785 is 2/47885

Least Common Multiple of 61,785 with GCF Formula

Least Common Multiple of 61,785 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 61,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,785) = 1

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

GCF(61,785) x common factors =1 x 1 = 1

LCM(61,785) = ( 61 × 785 ) / 1

LCM(61,785) = 47885 / 1

LCM(61,785) = 47885


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 454/61, 440/785

1. What is the HCF of 454,440?

The HCF of 454,440 is 2

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 454/61, 440/785?

Answer: GCF of Numerators as per given numbers 454/61, 440/785 is

GCF of Numerators i.e. for 454,440 is 2

LCM of denominators i.e. for 61,785 is 47885.

Thus, GCF of Fractions is 2/47885.Finally, GCF of Fractions for 454/61, 440/785 is 2/47885.