How to Find GCF of 3463/992, 1444/7030?

GCF of 3463/992, 1444/7030

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 3463/992, 1444/7030 i.e 1/3486880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3463/992, 1444/7030.

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 3463/992,1444/7030?

Given fractions are 3463/992,1444/7030

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 3463/992,1444/7030, numerators are 3463,1444

Denominators are 992,7030

The GCF of 3463,1444 is 1 .

LCM of 992,7030 is 3486880.

The greatest common factor of 3463/992,1444/7030 = [GCF of 3463,1444]/[LCM of 992,7030]= 1/3486880

Therefore, the GCF of 3463/992,1444/7030 is 1/3486880.

Greatest Common Factor of 3463,1444

To find the highest common factor of 3463,1444, we have to find the factors of both numbers and list the highest common factor.

The factors of 3463 are 1, 3463

The factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444

The HCF of 3463,1444 is 1.

Lets's calculate GCF of 3463,1444

Greatest Common Factor (GCF) of 3463,1444 By Common Division

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

Greatest Common Factor of 3463,1444 By Matching Biggest Common Factor Method

Now, list down the factors of 3463

1,3463

Now, list down the factors of 1444

1,2,4,19,38,76,361,722,1444

Greatest Common Factor

We found the factors 3463,1444 . The biggest common factor number is the GCF number.
So the greatest common factor 3463,1444 is 1.

Lets's calculate LCM of 992,7030

Lowest Common Multiple of 992,7030 using Common Division

2	992, 7030
	496, 3515

∴ So the LCM of the given numbers is 2 x 496 x 3515 = 3486880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3486880

Therefore, the GCF of Fractions 3463/992,1444/7030 is 1/3486880

Least Common Multiple of 992,7030 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 992,7030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,7030) = 2

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

GCF(992,7030) x common factors =2 x 1 = 2

LCM(992,7030) = ( 992 × 7030 ) / 2

LCM(992,7030) = 6973760 / 2

LCM(992,7030) = 3486880

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FAQs on GCF of Fractions of 3463/992, 1444/7030

1. What is the HCF of 3463,1444?

The HCF of 3463,1444 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 3463/992, 1444/7030?

Answer: GCF of Numerators as per given numbers 3463/992, 1444/7030 is

GCF of Numerators i.e. for 3463,1444 is 1

LCM of denominators i.e. for 992,7030 is 3486880.

Thus, GCF of Fractions is 1/3486880.Finally, GCF of Fractions for 3463/992, 1444/7030 is 1/3486880.