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GCF of 9169/104, 8053/3013

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 9169/104, 8053/3013 i.e 1/313352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9169/104, 8053/3013.

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 9169/104,8053/3013?

Given fractions are 9169/104,8053/3013

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 9169/104,8053/3013, numerators are 9169,8053

Denominators are 104,3013

The GCF of 9169,8053 is 1 .

LCM of 104,3013 is 313352.

The greatest common factor of 9169/104,8053/3013 = [GCF of 9169,8053]/[LCM of 104,3013]= 1/313352

Therefore, the GCF of 9169/104,8053/3013 is 1/313352.

Greatest Common Factor of 9169,8053

To find the highest common factor of 9169,8053, we have to find the factors of both numbers and list the highest common factor.

The factors of 9169 are 1, 53, 173, 9169

The factors of 8053 are 1, 8053

The HCF of 9169,8053 is 1.

Lets's calculate GCF of 9169,8053

Greatest Common Factor (GCF) of 9169,8053 By Common Division

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

Greatest Common Factor of 9169,8053 By Matching Biggest Common Factor Method

Greatest Common Factor of 9169,8053 By Matching Biggest Common Factor Method

Now, list down the factors of 9169

:

1,53,173,9169

Now, list down the factors of 8053

:

1,8053

Greatest Common Factor

We found the factors 9169,8053 . The biggest common factor number is the GCF number.
So the greatest common factor 9169,8053 is 1.


Lets's calculate LCM of 104,3013

Lowest Common Multiple of 104,3013 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 313352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313352

Therefore, the GCF of Fractions 9169/104,8053/3013 is 1/313352

Least Common Multiple of 104,3013 with GCF Formula

Least Common Multiple of 104,3013 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 104,3013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,3013) = 1

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

GCF(104,3013) x common factors =1 x 1 = 1

LCM(104,3013) = ( 104 × 3013 ) / 1

LCM(104,3013) = 313352 / 1

LCM(104,3013) = 313352


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9169/104, 8053/3013

1. What is the HCF of 9169,8053?

The HCF of 9169,8053 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 9169/104, 8053/3013?

Answer: GCF of Numerators as per given numbers 9169/104, 8053/3013 is

GCF of Numerators i.e. for 9169,8053 is 1

LCM of denominators i.e. for 104,3013 is 313352.

Thus, GCF of Fractions is 1/313352.Finally, GCF of Fractions for 9169/104, 8053/3013 is 1/313352.