How to Find GCF of 3896/802, 2185/3072?

GCF of 3896/802, 2185/3072

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 3896/802, 2185/3072 i.e 1/1231872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3896/802, 2185/3072.

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 3896/802,2185/3072?

Given fractions are 3896/802,2185/3072

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 3896/802,2185/3072, numerators are 3896,2185

Denominators are 802,3072

The GCF of 3896,2185 is 1 .

LCM of 802,3072 is 1231872.

The greatest common factor of 3896/802,2185/3072 = [GCF of 3896,2185]/[LCM of 802,3072]= 1/1231872

Therefore, the GCF of 3896/802,2185/3072 is 1/1231872.

Greatest Common Factor of 3896,2185

To find the highest common factor of 3896,2185, we have to find the factors of both numbers and list the highest common factor.

The factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896

The factors of 2185 are 1, 5, 19, 23, 95, 115, 437, 2185

The HCF of 3896,2185 is 1.

Lets's calculate GCF of 3896,2185

Greatest Common Factor (GCF) of 3896,2185 By Common Division

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

Greatest Common Factor of 3896,2185 By Matching Biggest Common Factor Method

Now, list down the factors of 3896

1,2,4,8,487,974,1948,3896

Now, list down the factors of 2185

1,5,19,23,95,115,437,2185

Greatest Common Factor

We found the factors 3896,2185 . The biggest common factor number is the GCF number.
So the greatest common factor 3896,2185 is 1.

Lets's calculate LCM of 802,3072

Lowest Common Multiple of 802,3072 using Common Division

2	802, 3072
	401, 1536

∴ So the LCM of the given numbers is 2 x 401 x 1536 = 1231872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1231872

Therefore, the GCF of Fractions 3896/802,2185/3072 is 1/1231872

Least Common Multiple of 802,3072 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 802,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,3072) = 2

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

GCF(802,3072) x common factors =2 x 1 = 2

LCM(802,3072) = ( 802 × 3072 ) / 2

LCM(802,3072) = 2463744 / 2

LCM(802,3072) = 1231872

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FAQs on GCF of Fractions of 3896/802, 2185/3072

1. What is the HCF of 3896,2185?

The HCF of 3896,2185 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 3896/802, 2185/3072?

Answer: GCF of Numerators as per given numbers 3896/802, 2185/3072 is

GCF of Numerators i.e. for 3896,2185 is 1

LCM of denominators i.e. for 802,3072 is 1231872.

Thus, GCF of Fractions is 1/1231872.Finally, GCF of Fractions for 3896/802, 2185/3072 is 1/1231872.