Greatest Common Factor of 688/830, 2365/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/830, 2365/548

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 688/830,2365/548

Given fractions are 688/830,2365/548

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 688,2365

Greatest Common Factor of Numerators i.e. GCF of 688,2365 is 43 .

LCM of Denominators means LCM of 830,548 as per the given fractions.

LCM of 830,548 is 227420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,2365

GCF of Fractions 688/830,2365/548 is 43/227420

43 688, 2365
16, 55

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 688,2365 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,2365 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors 688,2365 . The biggest common factor number is the GCF number.
So the greatest common factor 688,2365 is 43.

Lets's calculate LCM of 830,548

2 830, 548
415, 274

∴ So the LCM of the given numbers is 2 x 415 x 274 = 227420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/227420

Therefore, the GCF of Fractions 688/830,2365/548 is 43/227420

Least Common Multiple of 830,548 with GCF Formula

Least Common Multiple of 830,548 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 830,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,548) = 2

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

GCF(830,548) x common factors =2 x 1 = 2

LCM(830,548) = ( 830 × 548 ) / 2

LCM(830,548) = 454840 / 2

LCM(830,548) = 227420


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 688/830, 2365/548

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 688/830, 2365/548?

Answer: GCF of Numerators as per given numbers 688/830, 2365/548 is

GCF of Numerators i.e. for 688,2365 is 43

LCM of denominators i.e. for 830,548 is 227420.

Thus, GCF of Fractions is 43/227420.Finally, GCF of Fractions for 688/830, 2365/548 is 43/227420.