How to Find GCF of 3949/253, 9361/1699?

GCF of 3949/253, 9361/1699

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 3949/253, 9361/1699 i.e 11/429847 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3949/253, 9361/1699.

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 3949/253,9361/1699?

Given fractions are 3949/253,9361/1699

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 3949/253,9361/1699, numerators are 3949,9361

Denominators are 253,1699

The GCF of 3949,9361 is 11 .

LCM of 253,1699 is 429847.

The greatest common factor of 3949/253,9361/1699 = [GCF of 3949,9361]/[LCM of 253,1699]= 11/429847

Therefore, the GCF of 3949/253,9361/1699 is 11/429847.

Greatest Common Factor of 3949,9361

To find the highest common factor of 3949,9361, we have to find the factors of both numbers and list the highest common factor.

The factors of 3949 are 1, 11, 359, 3949

The factors of 9361 are 1, 11, 23, 37, 253, 407, 851, 9361

The HCF of 3949,9361 is 11.

Lets's calculate GCF of 3949,9361

Greatest Common Factor (GCF) of 3949,9361 By Common Division

11	3949, 9361
	359, 851

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3949,9361 By Matching Biggest Common Factor Method

Now, list down the factors of 3949

1,11,359,3949

Now, list down the factors of 9361

1,11,23,37,253,407,851,9361

Greatest Common Factor

We found the factors 3949,9361 . The biggest common factor number is the GCF number.
So the greatest common factor 3949,9361 is 11.

Lets's calculate LCM of 253,1699

Lowest Common Multiple of 253,1699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 429847

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/429847

Therefore, the GCF of Fractions 3949/253,9361/1699 is 11/429847

Least Common Multiple of 253,1699 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 253,1699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,1699) = 1

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

GCF(253,1699) x common factors =1 x 1 = 1

LCM(253,1699) = ( 253 × 1699 ) / 1

LCM(253,1699) = 429847 / 1

LCM(253,1699) = 429847

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FAQs on GCF of Fractions of 3949/253, 9361/1699

1. What is the HCF of 3949,9361?

The HCF of 3949,9361 is 11

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 3949/253, 9361/1699?

Answer: GCF of Numerators as per given numbers 3949/253, 9361/1699 is

GCF of Numerators i.e. for 3949,9361 is 11

LCM of denominators i.e. for 253,1699 is 429847.

Thus, GCF of Fractions is 11/429847.Finally, GCF of Fractions for 3949/253, 9361/1699 is 11/429847.