Greatest Common Factor of 1582/467, 1780/8803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1582/467, 1780/8803

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 1582/467,1780/8803

Given fractions are 1582/467,1780/8803

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1582,1780

Greatest Common Factor of Numerators i.e. GCF of 1582,1780 is 2 .

LCM of Denominators means LCM of 467,8803 as per the given fractions.

LCM of 467,8803 is 4111001 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1582,1780

GCF of Fractions 1582/467,1780/8803 is 2/4111001

2 1582, 1780
791, 890

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

Greatest Common Factor of 1582,1780 By Matching Biggest Common Factor Method

Greatest Common Factor of 1582,1780 By Matching Biggest Common Factor Method

Factors of 1582

List of positive integer factors of 1582 that divides 1582 without a remainder.

1,2,7,14,113,226,791,1582

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1,2,4,5,10,20,89,178,356,445,890,1780

Greatest Common Factor

We found the factors 1582,1780 . The biggest common factor number is the GCF number.
So the greatest common factor 1582,1780 is 2.

Lets's calculate LCM of 467,8803

Given numbers has no common factors except 1. So, there LCM is their product i.e 4111001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4111001

Therefore, the GCF of Fractions 1582/467,1780/8803 is 2/4111001

Least Common Multiple of 467,8803 with GCF Formula

Least Common Multiple of 467,8803 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 467,8803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,8803) = 1

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

GCF(467,8803) x common factors =1 x 1 = 1

LCM(467,8803) = ( 467 × 8803 ) / 1

LCM(467,8803) = 4111001 / 1

LCM(467,8803) = 4111001


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1582/467, 1780/8803

1. 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.

2. What is the GCF of Fractions for 1582/467, 1780/8803?

Answer: GCF of Numerators as per given numbers 1582/467, 1780/8803 is

GCF of Numerators i.e. for 1582,1780 is 2

LCM of denominators i.e. for 467,8803 is 4111001.

Thus, GCF of Fractions is 2/4111001.Finally, GCF of Fractions for 1582/467, 1780/8803 is 2/4111001.