Greatest Common Factor of 705/877, 3432/8300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/877, 3432/8300

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 705/877,3432/8300

Given fractions are 705/877,3432/8300

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 705,3432

Greatest Common Factor of Numerators i.e. GCF of 705,3432 is 3 .

LCM of Denominators means LCM of 877,8300 as per the given fractions.

LCM of 877,8300 is 7279100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,3432

GCF of Fractions 705/877,3432/8300 is 3/7279100

3 705, 3432
235, 1144

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 705,3432 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,3432 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Greatest Common Factor

We found the factors 705,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 705,3432 is 3.

Lets's calculate LCM of 877,8300

Given numbers has no common factors except 1. So, there LCM is their product i.e 7279100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7279100

Therefore, the GCF of Fractions 705/877,3432/8300 is 3/7279100

Least Common Multiple of 877,8300 with GCF Formula

Least Common Multiple of 877,8300 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 877,8300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,8300) = 1

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

GCF(877,8300) x common factors =1 x 1 = 1

LCM(877,8300) = ( 877 × 8300 ) / 1

LCM(877,8300) = 7279100 / 1

LCM(877,8300) = 7279100


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 705/877, 3432/8300

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 705/877, 3432/8300?

Answer: GCF of Numerators as per given numbers 705/877, 3432/8300 is

GCF of Numerators i.e. for 705,3432 is 3

LCM of denominators i.e. for 877,8300 is 7279100.

Thus, GCF of Fractions is 3/7279100.Finally, GCF of Fractions for 705/877, 3432/8300 is 3/7279100.