How to Find GCF of 1955/863, 4659/1384?

GCF of 1955/863, 4659/1384

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 1955/863, 4659/1384 i.e 1/1194392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1955/863, 4659/1384.

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 1955/863,4659/1384?

Given fractions are 1955/863,4659/1384

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 1955/863,4659/1384, numerators are 1955,4659

Denominators are 863,1384

The GCF of 1955,4659 is 1 .

LCM of 863,1384 is 1194392.

The greatest common factor of 1955/863,4659/1384 = [GCF of 1955,4659]/[LCM of 863,1384]= 1/1194392

Therefore, the GCF of 1955/863,4659/1384 is 1/1194392.

Greatest Common Factor of 1955,4659

To find the highest common factor of 1955,4659, we have to find the factors of both numbers and list the highest common factor.

The factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955

The factors of 4659 are 1, 3, 1553, 4659

The HCF of 1955,4659 is 1.

Lets's calculate GCF of 1955,4659

Greatest Common Factor (GCF) of 1955,4659 By Common Division

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

Greatest Common Factor of 1955,4659 By Matching Biggest Common Factor Method

Now, list down the factors of 1955

1,5,17,23,85,115,391,1955

Now, list down the factors of 4659

1,3,1553,4659

Greatest Common Factor

We found the factors 1955,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 1955,4659 is 1.

Lets's calculate LCM of 863,1384

Lowest Common Multiple of 863,1384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1194392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194392

Therefore, the GCF of Fractions 1955/863,4659/1384 is 1/1194392

Least Common Multiple of 863,1384 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 863,1384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,1384) = 1

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

GCF(863,1384) x common factors =1 x 1 = 1

LCM(863,1384) = ( 863 × 1384 ) / 1

LCM(863,1384) = 1194392 / 1

LCM(863,1384) = 1194392

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FAQs on GCF of Fractions of 1955/863, 4659/1384

1. What is the HCF of 1955,4659?

The HCF of 1955,4659 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 1955/863, 4659/1384?

Answer: GCF of Numerators as per given numbers 1955/863, 4659/1384 is

GCF of Numerators i.e. for 1955,4659 is 1

LCM of denominators i.e. for 863,1384 is 1194392.

Thus, GCF of Fractions is 1/1194392.Finally, GCF of Fractions for 1955/863, 4659/1384 is 1/1194392.