Greatest Common Factor of 1681/987, 4253/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1681/987, 4253/945

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1681/987,4253/945

Given fractions are 1681/987,4253/945

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1681,4253

Greatest Common Factor of Numerators i.e. GCF of 1681,4253 is 1 .

LCM of Denominators means LCM of 987,945 as per the given fractions.

LCM of 987,945 is 44415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1681,4253

GCF of Fractions 1681/987,4253/945 is 1/44415

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

Greatest Common Factor of 1681,4253 By Matching Biggest Common Factor Method

Greatest Common Factor of 1681,4253 By Matching Biggest Common Factor Method

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1,41,1681

Factors of 4253

List of positive integer factors of 4253 that divides 4253 without a remainder.

1,4253

Greatest Common Factor

We found the factors 1681,4253 . The biggest common factor number is the GCF number.
So the greatest common factor 1681,4253 is 1.

Lets's calculate LCM of 987,945

3 987, 945
7 329, 315
47, 45

∴ So the LCM of the given numbers is 3 x 7 x 47 x 45 = 44415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44415

Therefore, the GCF of Fractions 1681/987,4253/945 is 1/44415

Least Common Multiple of 987,945 with GCF Formula

Least Common Multiple of 987,945 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 987,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,945) = 21

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

GCF(987,945) x common factors =21 x 1 = 21

LCM(987,945) = ( 987 × 945 ) / 21

LCM(987,945) = 932715 / 21

LCM(987,945) = 44415


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1681/987, 4253/945

1. 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.

2. What is the GCF of Fractions for 1681/987, 4253/945?

Answer: GCF of Numerators as per given numbers 1681/987, 4253/945 is

GCF of Numerators i.e. for 1681,4253 is 1

LCM of denominators i.e. for 987,945 is 44415.

Thus, GCF of Fractions is 1/44415.Finally, GCF of Fractions for 1681/987, 4253/945 is 1/44415.