How to Find GCF of 3883/953, 2849/610?

GCF of 3883/953, 2849/610

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 3883/953, 2849/610 i.e 11/581330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3883/953, 2849/610.

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 3883/953,2849/610?

Given fractions are 3883/953,2849/610

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 3883/953,2849/610, numerators are 3883,2849

Denominators are 953,610

The GCF of 3883,2849 is 11 .

LCM of 953,610 is 581330.

The greatest common factor of 3883/953,2849/610 = [GCF of 3883,2849]/[LCM of 953,610]= 11/581330

Therefore, the GCF of 3883/953,2849/610 is 11/581330.

Greatest Common Factor of 3883,2849

To find the highest common factor of 3883,2849, we have to find the factors of both numbers and list the highest common factor.

The factors of 3883 are 1, 11, 353, 3883

The factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849

The HCF of 3883,2849 is 11.

Lets's calculate GCF of 3883,2849

Greatest Common Factor (GCF) of 3883,2849 By Common Division

11	3883, 2849
	353, 259

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

Greatest Common Factor of 3883,2849 By Matching Biggest Common Factor Method

Now, list down the factors of 3883

1,11,353,3883

Now, list down the factors of 2849

1,7,11,37,77,259,407,2849

Greatest Common Factor

We found the factors 3883,2849 . The biggest common factor number is the GCF number.
So the greatest common factor 3883,2849 is 11.

Lets's calculate LCM of 953,610

Lowest Common Multiple of 953,610 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 581330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/581330

Therefore, the GCF of Fractions 3883/953,2849/610 is 11/581330

Least Common Multiple of 953,610 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 953,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,610) = 1

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

GCF(953,610) x common factors =1 x 1 = 1

LCM(953,610) = ( 953 × 610 ) / 1

LCM(953,610) = 581330 / 1

LCM(953,610) = 581330

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FAQs on GCF of Fractions of 3883/953, 2849/610

1. What is the HCF of 3883,2849?

The HCF of 3883,2849 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 3883/953, 2849/610?

Answer: GCF of Numerators as per given numbers 3883/953, 2849/610 is

GCF of Numerators i.e. for 3883,2849 is 11

LCM of denominators i.e. for 953,610 is 581330.

Thus, GCF of Fractions is 11/581330.Finally, GCF of Fractions for 3883/953, 2849/610 is 11/581330.