Greatest Common Factor of 9758/49, 1008/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9758/49, 1008/475

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 9758/49,1008/475

Given fractions are 9758/49,1008/475

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 9758,1008

Greatest Common Factor of Numerators i.e. GCF of 9758,1008 is 14 .

LCM of Denominators means LCM of 49,475 as per the given fractions.

LCM of 49,475 is 23275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9758,1008

GCF of Fractions 9758/49,1008/475 is 14/23275

2 9758, 1008
7 4879, 504
697, 72

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9758,1008 By Matching Biggest Common Factor Method

Greatest Common Factor of 9758,1008 By Matching Biggest Common Factor Method

Factors of 9758

List of positive integer factors of 9758 that divides 9758 without a remainder.

1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Greatest Common Factor

We found the factors 9758,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 9758,1008 is 14.

Lets's calculate LCM of 49,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 23275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/23275

Therefore, the GCF of Fractions 9758/49,1008/475 is 14/23275

Least Common Multiple of 49,475 with GCF Formula

Least Common Multiple of 49,475 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 49,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,475) = 1

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

GCF(49,475) x common factors =1 x 1 = 1

LCM(49,475) = ( 49 × 475 ) / 1

LCM(49,475) = 23275 / 1

LCM(49,475) = 23275


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 9758/49, 1008/475

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 9758/49, 1008/475?

Answer: GCF of Numerators as per given numbers 9758/49, 1008/475 is

GCF of Numerators i.e. for 9758,1008 is 14

LCM of denominators i.e. for 49,475 is 23275.

Thus, GCF of Fractions is 14/23275.Finally, GCF of Fractions for 9758/49, 1008/475 is 14/23275.