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GCF of 9200/826, 9388/1857

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 9200/826, 9388/1857 i.e 4/1533882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9200/826, 9388/1857.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9200/826,9388/1857?

Given fractions are 9200/826,9388/1857

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9200/826,9388/1857, numerators are 9200,9388

Denominators are 826,1857

The GCF of 9200,9388 is 4 .

LCM of 826,1857 is 1533882.

The greatest common factor of 9200/826,9388/1857 = [GCF of 9200,9388]/[LCM of 826,1857]= 4/1533882

Therefore, the GCF of 9200/826,9388/1857 is 4/1533882.

Greatest Common Factor of 9200,9388

To find the highest common factor of 9200,9388, we have to find the factors of both numbers and list the highest common factor.

The factors of 9200 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200

The factors of 9388 are 1, 2, 4, 2347, 4694, 9388

The HCF of 9200,9388 is 4.

Lets's calculate GCF of 9200,9388

Greatest Common Factor (GCF) of 9200,9388 By Common Division

2 9200, 9388
2 4600, 4694
2300, 2347

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9200,9388 By Matching Biggest Common Factor Method

Greatest Common Factor of 9200,9388 By Matching Biggest Common Factor Method

Now, list down the factors of 9200

:

1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200

Now, list down the factors of 9388

:

1,2,4,2347,4694,9388

Greatest Common Factor

We found the factors 9200,9388 . The biggest common factor number is the GCF number.
So the greatest common factor 9200,9388 is 4.


Lets's calculate LCM of 826,1857

Lowest Common Multiple of 826,1857 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1533882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1533882

Therefore, the GCF of Fractions 9200/826,9388/1857 is 4/1533882

Least Common Multiple of 826,1857 with GCF Formula

Least Common Multiple of 826,1857 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 826,1857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,1857) = 1

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

GCF(826,1857) x common factors =1 x 1 = 1

LCM(826,1857) = ( 826 × 1857 ) / 1

LCM(826,1857) = 1533882 / 1

LCM(826,1857) = 1533882


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9200/826, 9388/1857

1. What is the HCF of 9200,9388?

The HCF of 9200,9388 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9200/826, 9388/1857?

Answer: GCF of Numerators as per given numbers 9200/826, 9388/1857 is

GCF of Numerators i.e. for 9200,9388 is 4

LCM of denominators i.e. for 826,1857 is 1533882.

Thus, GCF of Fractions is 4/1533882.Finally, GCF of Fractions for 9200/826, 9388/1857 is 4/1533882.