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GCF of 9327/203, 1847/930

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 9327/203, 1847/930 i.e 1/188790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9327/203, 1847/930.

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 9327/203,1847/930?

Given fractions are 9327/203,1847/930

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 9327/203,1847/930, numerators are 9327,1847

Denominators are 203,930

The GCF of 9327,1847 is 1 .

LCM of 203,930 is 188790.

The greatest common factor of 9327/203,1847/930 = [GCF of 9327,1847]/[LCM of 203,930]= 1/188790

Therefore, the GCF of 9327/203,1847/930 is 1/188790.

Greatest Common Factor of 9327,1847

To find the highest common factor of 9327,1847, we have to find the factors of both numbers and list the highest common factor.

The factors of 9327 are 1, 3, 3109, 9327

The factors of 1847 are 1, 1847

The HCF of 9327,1847 is 1.

Lets's calculate GCF of 9327,1847

Greatest Common Factor (GCF) of 9327,1847 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9327,1847 By Matching Biggest Common Factor Method

Greatest Common Factor of 9327,1847 By Matching Biggest Common Factor Method

Now, list down the factors of 9327

:

1,3,3109,9327

Now, list down the factors of 1847

:

1,1847

Greatest Common Factor

We found the factors 9327,1847 . The biggest common factor number is the GCF number.
So the greatest common factor 9327,1847 is 1.

Lets's calculate LCM of 203,930

Lowest Common Multiple of 203,930 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 188790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188790

Therefore, the GCF of Fractions 9327/203,1847/930 is 1/188790

Least Common Multiple of 203,930 with GCF Formula

Least Common Multiple of 203,930 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 203,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,930) = 1

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

GCF(203,930) x common factors =1 x 1 = 1

LCM(203,930) = ( 203 × 930 ) / 1

LCM(203,930) = 188790 / 1

LCM(203,930) = 188790


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FAQs on GCF of Fractions of 9327/203, 1847/930

1. What is the HCF of 9327,1847?

The HCF of 9327,1847 is 1

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 9327/203, 1847/930?

Answer: GCF of Numerators as per given numbers 9327/203, 1847/930 is

GCF of Numerators i.e. for 9327,1847 is 1

LCM of denominators i.e. for 203,930 is 188790.

Thus, GCF of Fractions is 1/188790.Finally, GCF of Fractions for 9327/203, 1847/930 is 1/188790.