Greatest Common Factor of 828/743, 8510/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/743, 8510/109

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 828/743,8510/109

Given fractions are 828/743,8510/109

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 828,8510

Greatest Common Factor of Numerators i.e. GCF of 828,8510 is 46 .

LCM of Denominators means LCM of 743,109 as per the given fractions.

LCM of 743,109 is 80987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,8510

GCF of Fractions 828/743,8510/109 is 46/80987

2 828, 8510
23 414, 4255
18, 185

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 828,8510 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,8510 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510

Greatest Common Factor

We found the factors 828,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 828,8510 is 46.

Lets's calculate LCM of 743,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 80987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/80987

Therefore, the GCF of Fractions 828/743,8510/109 is 46/80987

Least Common Multiple of 743,109 with GCF Formula

Least Common Multiple of 743,109 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 743,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,109) = 1

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

GCF(743,109) x common factors =1 x 1 = 1

LCM(743,109) = ( 743 × 109 ) / 1

LCM(743,109) = 80987 / 1

LCM(743,109) = 80987


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 828/743, 8510/109

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 828/743, 8510/109?

Answer: GCF of Numerators as per given numbers 828/743, 8510/109 is

GCF of Numerators i.e. for 828,8510 is 46

LCM of denominators i.e. for 743,109 is 80987.

Thus, GCF of Fractions is 46/80987.Finally, GCF of Fractions for 828/743, 8510/109 is 46/80987.