Greatest Common Factor of 70/855, 1430/4461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/855, 1430/4461

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 70/855,1430/4461

Given fractions are 70/855,1430/4461

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 70,1430

Greatest Common Factor of Numerators i.e. GCF of 70,1430 is 10 .

LCM of Denominators means LCM of 855,4461 as per the given fractions.

LCM of 855,4461 is 1271385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,1430

GCF of Fractions 70/855,1430/4461 is 10/1271385

2 70, 1430
5 35, 715
7, 143

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 70,1430 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,1430 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Greatest Common Factor

We found the factors 70,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 70,1430 is 10.

Lets's calculate LCM of 855,4461

3 855, 4461
285, 1487

∴ So the LCM of the given numbers is 3 x 285 x 1487 = 1271385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1271385

Therefore, the GCF of Fractions 70/855,1430/4461 is 10/1271385

Least Common Multiple of 855,4461 with GCF Formula

Least Common Multiple of 855,4461 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 855,4461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,4461) = 3

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

GCF(855,4461) x common factors =3 x 1 = 3

LCM(855,4461) = ( 855 × 4461 ) / 3

LCM(855,4461) = 3814155 / 3

LCM(855,4461) = 1271385


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 70/855, 1430/4461

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 70/855, 1430/4461?

Answer: GCF of Numerators as per given numbers 70/855, 1430/4461 is

GCF of Numerators i.e. for 70,1430 is 10

LCM of denominators i.e. for 855,4461 is 1271385.

Thus, GCF of Fractions is 10/1271385.Finally, GCF of Fractions for 70/855, 1430/4461 is 10/1271385.