Greatest Common Factor of 35/163, 989/882, 691/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/163, 989/882, 691/211

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 35/163,989/882,691/211

Given fractions are 35/163,989/882,691/211

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 35,989,691

Greatest Common Factor of Numerators i.e. GCF of 35,989,691 is 1 .

LCM of Denominators means LCM of 163,882,211 as per the given fractions.

LCM of 163,882,211 is 30334626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,989,691

GCF of Fractions 35/163,989/882,691/211 is 1/30334626

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 35,989,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,989,691 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 35,989,691 . The biggest common factor number is the GCF number.
So the greatest common factor 35,989,691 is 1.

Lets's calculate LCM of 163,882,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 30334626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30334626

Therefore, the GCF of Fractions 35/163,989/882,691/211 is 1/30334626

Least Common Multiple of 163,882,211 with GCF Formula

Least Common Multiple of 163,882,211 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 163,882,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,882,211) = 1

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

GCF(163,882,211) x common factors =1 x 1 = 1

LCM(163,882,211) = ( 163 × 882 × 211 ) / 1

LCM(163,882,211) = 30334626 / 1

LCM(163,882,211) = 30334626


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 35/163, 989/882, 691/211

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 35/163, 989/882, 691/211?

Answer: GCF of Numerators as per given numbers 35/163, 989/882, 691/211 is

GCF of Numerators i.e. for 35,989,691 is 1

LCM of denominators i.e. for 163,882,211 is 30334626.

Thus, GCF of Fractions is 1/30334626.Finally, GCF of Fractions for 35/163, 989/882, 691/211 is 1/30334626.