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GCF of 1871/966, 3809/3136

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 1871/966, 3809/3136 i.e 1/216384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1871/966, 3809/3136.

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 1871/966,3809/3136?

Given fractions are 1871/966,3809/3136

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 1871/966,3809/3136, numerators are 1871,3809

Denominators are 966,3136

The GCF of 1871,3809 is 1 .

LCM of 966,3136 is 216384.

The greatest common factor of 1871/966,3809/3136 = [GCF of 1871,3809]/[LCM of 966,3136]= 1/216384

Therefore, the GCF of 1871/966,3809/3136 is 1/216384.

Greatest Common Factor of 1871,3809

To find the highest common factor of 1871,3809, we have to find the factors of both numbers and list the highest common factor.

The factors of 1871 are 1, 1871

The factors of 3809 are 1, 13, 293, 3809

The HCF of 1871,3809 is 1.

Lets's calculate GCF of 1871,3809

Greatest Common Factor (GCF) of 1871,3809 By Common Division

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

Greatest Common Factor of 1871,3809 By Matching Biggest Common Factor Method

Greatest Common Factor of 1871,3809 By Matching Biggest Common Factor Method

Now, list down the factors of 1871

:

1,1871

Now, list down the factors of 3809

:

1,13,293,3809

Greatest Common Factor

We found the factors 1871,3809 . The biggest common factor number is the GCF number.
So the greatest common factor 1871,3809 is 1.

Lets's calculate LCM of 966,3136

Lowest Common Multiple of 966,3136 using Common Division

2 966, 3136
7 483, 1568
69, 224

∴ So the LCM of the given numbers is 2 x 7 x 69 x 224 = 216384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216384

Therefore, the GCF of Fractions 1871/966,3809/3136 is 1/216384

Least Common Multiple of 966,3136 with GCF Formula

Least Common Multiple of 966,3136 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 966,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,3136) = 14

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

GCF(966,3136) x common factors =14 x 1 = 14

LCM(966,3136) = ( 966 × 3136 ) / 14

LCM(966,3136) = 3029376 / 14

LCM(966,3136) = 216384


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1871/966, 3809/3136

1. What is the HCF of 1871,3809?

The HCF of 1871,3809 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 1871/966, 3809/3136?

Answer: GCF of Numerators as per given numbers 1871/966, 3809/3136 is

GCF of Numerators i.e. for 1871,3809 is 1

LCM of denominators i.e. for 966,3136 is 216384.

Thus, GCF of Fractions is 1/216384.Finally, GCF of Fractions for 1871/966, 3809/3136 is 1/216384.