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GCF of 9477/993, 2238/8455

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 9477/993, 2238/8455 i.e 3/8395815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9477/993, 2238/8455.

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 9477/993,2238/8455?

Given fractions are 9477/993,2238/8455

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 9477/993,2238/8455, numerators are 9477,2238

Denominators are 993,8455

The GCF of 9477,2238 is 3 .

LCM of 993,8455 is 8395815.

The greatest common factor of 9477/993,2238/8455 = [GCF of 9477,2238]/[LCM of 993,8455]= 3/8395815

Therefore, the GCF of 9477/993,2238/8455 is 3/8395815.

Greatest Common Factor of 9477,2238

To find the highest common factor of 9477,2238, we have to find the factors of both numbers and list the highest common factor.

The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477

The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238

The HCF of 9477,2238 is 3.

Lets's calculate GCF of 9477,2238

Greatest Common Factor (GCF) of 9477,2238 By Common Division

3 9477, 2238
3159, 746

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9477,2238 By Matching Biggest Common Factor Method

Greatest Common Factor of 9477,2238 By Matching Biggest Common Factor Method

Now, list down the factors of 9477

:

1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477

Now, list down the factors of 2238

:

1,2,3,6,373,746,1119,2238

Greatest Common Factor

We found the factors 9477,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,2238 is 3.


Lets's calculate LCM of 993,8455

Lowest Common Multiple of 993,8455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8395815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8395815

Therefore, the GCF of Fractions 9477/993,2238/8455 is 3/8395815

Least Common Multiple of 993,8455 with GCF Formula

Least Common Multiple of 993,8455 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 993,8455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,8455) = 1

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

GCF(993,8455) x common factors =1 x 1 = 1

LCM(993,8455) = ( 993 × 8455 ) / 1

LCM(993,8455) = 8395815 / 1

LCM(993,8455) = 8395815


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9477/993, 2238/8455

1. What is the HCF of 9477,2238?

The HCF of 9477,2238 is 3

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 9477/993, 2238/8455?

Answer: GCF of Numerators as per given numbers 9477/993, 2238/8455 is

GCF of Numerators i.e. for 9477,2238 is 3

LCM of denominators i.e. for 993,8455 is 8395815.

Thus, GCF of Fractions is 3/8395815.Finally, GCF of Fractions for 9477/993, 2238/8455 is 3/8395815.