How to Find GCF of 9848/190, 3169/9521?

GCF of 9848/190, 3169/9521

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 9848/190, 3169/9521 i.e 1/1808990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9848/190, 3169/9521.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9848/190,3169/9521?

Given fractions are 9848/190,3169/9521

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 9848/190,3169/9521, numerators are 9848,3169

Denominators are 190,9521

The GCF of 9848,3169 is 1 .

LCM of 190,9521 is 1808990.

The greatest common factor of 9848/190,3169/9521 = [GCF of 9848,3169]/[LCM of 190,9521]= 1/1808990

Therefore, the GCF of 9848/190,3169/9521 is 1/1808990.

Greatest Common Factor of 9848,3169

To find the highest common factor of 9848,3169, we have to find the factors of both numbers and list the highest common factor.

The factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848

The factors of 3169 are 1, 3169

The HCF of 9848,3169 is 1.

Lets's calculate GCF of 9848,3169

Greatest Common Factor (GCF) of 9848,3169 By Common Division

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

Greatest Common Factor of 9848,3169 By Matching Biggest Common Factor Method

Now, list down the factors of 9848

1,2,4,8,1231,2462,4924,9848

Now, list down the factors of 3169

1,3169

Greatest Common Factor

We found the factors 9848,3169 . The biggest common factor number is the GCF number.
So the greatest common factor 9848,3169 is 1.

Lets's calculate LCM of 190,9521

Lowest Common Multiple of 190,9521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1808990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808990

Therefore, the GCF of Fractions 9848/190,3169/9521 is 1/1808990

Least Common Multiple of 190,9521 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 190,9521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,9521) = 1

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

GCF(190,9521) x common factors =1 x 1 = 1

LCM(190,9521) = ( 190 × 9521 ) / 1

LCM(190,9521) = 1808990 / 1

LCM(190,9521) = 1808990

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FAQs on GCF of Fractions of 9848/190, 3169/9521

1. What is the HCF of 9848,3169?

The HCF of 9848,3169 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 9848/190, 3169/9521?

Answer: GCF of Numerators as per given numbers 9848/190, 3169/9521 is

GCF of Numerators i.e. for 9848,3169 is 1

LCM of denominators i.e. for 190,9521 is 1808990.

Thus, GCF of Fractions is 1/1808990.Finally, GCF of Fractions for 9848/190, 3169/9521 is 1/1808990.