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GCF of 1916/228, 6703/489

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 1916/228, 6703/489 i.e 1/37164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1916/228, 6703/489.

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 1916/228,6703/489?

Given fractions are 1916/228,6703/489

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 1916/228,6703/489, numerators are 1916,6703

Denominators are 228,489

The GCF of 1916,6703 is 1 .

LCM of 228,489 is 37164.

The greatest common factor of 1916/228,6703/489 = [GCF of 1916,6703]/[LCM of 228,489]= 1/37164

Therefore, the GCF of 1916/228,6703/489 is 1/37164.

Greatest Common Factor of 1916,6703

To find the highest common factor of 1916,6703, we have to find the factors of both numbers and list the highest common factor.

The factors of 1916 are 1, 2, 4, 479, 958, 1916

The factors of 6703 are 1, 6703

The HCF of 1916,6703 is 1.

Lets's calculate GCF of 1916,6703

Greatest Common Factor (GCF) of 1916,6703 By Common Division

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

Greatest Common Factor of 1916,6703 By Matching Biggest Common Factor Method

Greatest Common Factor of 1916,6703 By Matching Biggest Common Factor Method

Now, list down the factors of 1916

:

1,2,4,479,958,1916

Now, list down the factors of 6703

:

1,6703

Greatest Common Factor

We found the factors 1916,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 1916,6703 is 1.

Lets's calculate LCM of 228,489

Lowest Common Multiple of 228,489 using Common Division

3 228, 489
76, 163

∴ So the LCM of the given numbers is 3 x 76 x 163 = 37164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37164

Therefore, the GCF of Fractions 1916/228,6703/489 is 1/37164

Least Common Multiple of 228,489 with GCF Formula

Least Common Multiple of 228,489 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 228,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,489) = 3

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

GCF(228,489) x common factors =3 x 1 = 3

LCM(228,489) = ( 228 × 489 ) / 3

LCM(228,489) = 111492 / 3

LCM(228,489) = 37164


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FAQs on GCF of Fractions of 1916/228, 6703/489

1. What is the HCF of 1916,6703?

The HCF of 1916,6703 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 1916/228, 6703/489?

Answer: GCF of Numerators as per given numbers 1916/228, 6703/489 is

GCF of Numerators i.e. for 1916,6703 is 1

LCM of denominators i.e. for 228,489 is 37164.

Thus, GCF of Fractions is 1/37164.Finally, GCF of Fractions for 1916/228, 6703/489 is 1/37164.