How to Find GCF of 3985/947, 3668/2255?

GCF of 3985/947, 3668/2255

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 3985/947, 3668/2255 i.e 1/2135485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3985/947, 3668/2255.

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 3985/947,3668/2255?

Given fractions are 3985/947,3668/2255

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 3985/947,3668/2255, numerators are 3985,3668

Denominators are 947,2255

The GCF of 3985,3668 is 1 .

LCM of 947,2255 is 2135485.

The greatest common factor of 3985/947,3668/2255 = [GCF of 3985,3668]/[LCM of 947,2255]= 1/2135485

Therefore, the GCF of 3985/947,3668/2255 is 1/2135485.

Greatest Common Factor of 3985,3668

To find the highest common factor of 3985,3668, we have to find the factors of both numbers and list the highest common factor.

The factors of 3985 are 1, 5, 797, 3985

The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668

The HCF of 3985,3668 is 1.

Lets's calculate GCF of 3985,3668

Greatest Common Factor (GCF) of 3985,3668 By Common Division

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

Greatest Common Factor of 3985,3668 By Matching Biggest Common Factor Method

Now, list down the factors of 3985

1,5,797,3985

Now, list down the factors of 3668

1,2,4,7,14,28,131,262,524,917,1834,3668

Greatest Common Factor

We found the factors 3985,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 3985,3668 is 1.

Lets's calculate LCM of 947,2255

Lowest Common Multiple of 947,2255 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2135485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2135485

Therefore, the GCF of Fractions 3985/947,3668/2255 is 1/2135485

Least Common Multiple of 947,2255 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 947,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,2255) = 1

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

GCF(947,2255) x common factors =1 x 1 = 1

LCM(947,2255) = ( 947 × 2255 ) / 1

LCM(947,2255) = 2135485 / 1

LCM(947,2255) = 2135485

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FAQs on GCF of Fractions of 3985/947, 3668/2255

1. What is the HCF of 3985,3668?

The HCF of 3985,3668 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 3985/947, 3668/2255?

Answer: GCF of Numerators as per given numbers 3985/947, 3668/2255 is

GCF of Numerators i.e. for 3985,3668 is 1

LCM of denominators i.e. for 947,2255 is 2135485.

Thus, GCF of Fractions is 1/2135485.Finally, GCF of Fractions for 3985/947, 3668/2255 is 1/2135485.