Greatest Common Factor of 9856/23, 2275/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9856/23, 2275/435

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 9856/23,2275/435

Given fractions are 9856/23,2275/435

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 9856,2275

Greatest Common Factor of Numerators i.e. GCF of 9856,2275 is 7 .

LCM of Denominators means LCM of 23,435 as per the given fractions.

LCM of 23,435 is 10005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9856,2275

GCF of Fractions 9856/23,2275/435 is 7/10005

7 9856, 2275
1408, 325

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9856,2275 By Matching Biggest Common Factor Method

Greatest Common Factor of 9856,2275 By Matching Biggest Common Factor Method

Factors of 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856

Factors of 2275

List of positive integer factors of 2275 that divides 2275 without a remainder.

1,5,7,13,25,35,65,91,175,325,455,2275

Greatest Common Factor

We found the factors 9856,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 9856,2275 is 7.

Lets's calculate LCM of 23,435

Given numbers has no common factors except 1. So, there LCM is their product i.e 10005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10005

Therefore, the GCF of Fractions 9856/23,2275/435 is 7/10005

Least Common Multiple of 23,435 with GCF Formula

Least Common Multiple of 23,435 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 23,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,435) = 1

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

GCF(23,435) x common factors =1 x 1 = 1

LCM(23,435) = ( 23 × 435 ) / 1

LCM(23,435) = 10005 / 1

LCM(23,435) = 10005


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 9856/23, 2275/435

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 9856/23, 2275/435?

Answer: GCF of Numerators as per given numbers 9856/23, 2275/435 is

GCF of Numerators i.e. for 9856,2275 is 7

LCM of denominators i.e. for 23,435 is 10005.

Thus, GCF of Fractions is 7/10005.Finally, GCF of Fractions for 9856/23, 2275/435 is 7/10005.