Greatest Common Factor of 1566/105, 8468/9712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1566/105, 8468/9712

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 1566/105,8468/9712

Given fractions are 1566/105,8468/9712

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 1566,8468

Greatest Common Factor of Numerators i.e. GCF of 1566,8468 is 58 .

LCM of Denominators means LCM of 105,9712 as per the given fractions.

LCM of 105,9712 is 1019760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1566,8468

GCF of Fractions 1566/105,8468/9712 is 58/1019760

2 1566, 8468
29 783, 4234
27, 146

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 1566,8468 By Matching Biggest Common Factor Method

Greatest Common Factor of 1566,8468 By Matching Biggest Common Factor Method

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1,2,4,29,58,73,116,146,292,2117,4234,8468

Greatest Common Factor

We found the factors 1566,8468 . The biggest common factor number is the GCF number.
So the greatest common factor 1566,8468 is 58.

Lets's calculate LCM of 105,9712

Given numbers has no common factors except 1. So, there LCM is their product i.e 1019760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/1019760

Therefore, the GCF of Fractions 1566/105,8468/9712 is 58/1019760

Least Common Multiple of 105,9712 with GCF Formula

Least Common Multiple of 105,9712 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 105,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,9712) = 1

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

GCF(105,9712) x common factors =1 x 1 = 1

LCM(105,9712) = ( 105 × 9712 ) / 1

LCM(105,9712) = 1019760 / 1

LCM(105,9712) = 1019760


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 1566/105, 8468/9712

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 1566/105, 8468/9712?

Answer: GCF of Numerators as per given numbers 1566/105, 8468/9712 is

GCF of Numerators i.e. for 1566,8468 is 58

LCM of denominators i.e. for 105,9712 is 1019760.

Thus, GCF of Fractions is 58/1019760.Finally, GCF of Fractions for 1566/105, 8468/9712 is 58/1019760.