Greatest Common Factor of 445/35, 1295/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 445/35, 1295/824

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 445/35,1295/824

Given fractions are 445/35,1295/824

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 445,1295

Greatest Common Factor of Numerators i.e. GCF of 445,1295 is 5 .

LCM of Denominators means LCM of 35,824 as per the given fractions.

LCM of 35,824 is 28840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 445,1295

GCF of Fractions 445/35,1295/824 is 5/28840

5 445, 1295
89, 259

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 445,1295 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,1295 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 1295

List of positive integer factors of 1295 that divides 1295 without a remainder.

1,5,7,35,37,185,259,1295

Greatest Common Factor

We found the factors 445,1295 . The biggest common factor number is the GCF number.
So the greatest common factor 445,1295 is 5.

Lets's calculate LCM of 35,824

Given numbers has no common factors except 1. So, there LCM is their product i.e 28840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/28840

Therefore, the GCF of Fractions 445/35,1295/824 is 5/28840

Least Common Multiple of 35,824 with GCF Formula

Least Common Multiple of 35,824 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 35,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,824) = 1

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

GCF(35,824) x common factors =1 x 1 = 1

LCM(35,824) = ( 35 × 824 ) / 1

LCM(35,824) = 28840 / 1

LCM(35,824) = 28840


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 445/35, 1295/824

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 445/35, 1295/824?

Answer: GCF of Numerators as per given numbers 445/35, 1295/824 is

GCF of Numerators i.e. for 445,1295 is 5

LCM of denominators i.e. for 35,824 is 28840.

Thus, GCF of Fractions is 5/28840.Finally, GCF of Fractions for 445/35, 1295/824 is 5/28840.