Greatest Common Factor of 70/201, 298/463, 908/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/201, 298/463, 908/946

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 70/201,298/463,908/946

Given fractions are 70/201,298/463,908/946

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 70,298,908

Greatest Common Factor of Numerators i.e. GCF of 70,298,908 is 2 .

LCM of Denominators means LCM of 201,463,946 as per the given fractions.

LCM of 201,463,946 is 88037598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,298,908

GCF of Fractions 70/201,298/463,908/946 is 2/88037598

2 70, 298, 908
35, 149, 454

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 70,298,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,298,908 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 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 70,298,908 . The biggest common factor number is the GCF number.
So the greatest common factor 70,298,908 is 2.

Lets's calculate LCM of 201,463,946

Given numbers has no common factors except 1. So, there LCM is their product i.e 88037598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88037598

Therefore, the GCF of Fractions 70/201,298/463,908/946 is 2/88037598

Least Common Multiple of 201,463,946 with GCF Formula

Least Common Multiple of 201,463,946 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 201,463,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,463,946) = 1

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

GCF(201,463,946) x common factors =1 x 1 = 1

LCM(201,463,946) = ( 201 × 463 × 946 ) / 1

LCM(201,463,946) = 88037598 / 1

LCM(201,463,946) = 88037598


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 70/201, 298/463, 908/946

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 70/201, 298/463, 908/946?

Answer: GCF of Numerators as per given numbers 70/201, 298/463, 908/946 is

GCF of Numerators i.e. for 70,298,908 is 2

LCM of denominators i.e. for 201,463,946 is 88037598.

Thus, GCF of Fractions is 2/88037598.Finally, GCF of Fractions for 70/201, 298/463, 908/946 is 2/88037598.