How to Find GCF of 1486/830, 7823/6304?

GCF of 1486/830, 7823/6304

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 1486/830, 7823/6304 i.e 1/2616160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1486/830, 7823/6304.

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 1486/830,7823/6304?

Given fractions are 1486/830,7823/6304

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 1486/830,7823/6304, numerators are 1486,7823

Denominators are 830,6304

The GCF of 1486,7823 is 1 .

LCM of 830,6304 is 2616160.

The greatest common factor of 1486/830,7823/6304 = [GCF of 1486,7823]/[LCM of 830,6304]= 1/2616160

Therefore, the GCF of 1486/830,7823/6304 is 1/2616160.

Greatest Common Factor of 1486,7823

To find the highest common factor of 1486,7823, we have to find the factors of both numbers and list the highest common factor.

The factors of 1486 are 1, 2, 743, 1486

The factors of 7823 are 1, 7823

The HCF of 1486,7823 is 1.

Lets's calculate GCF of 1486,7823

Greatest Common Factor (GCF) of 1486,7823 By Common Division

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

Greatest Common Factor of 1486,7823 By Matching Biggest Common Factor Method

Now, list down the factors of 1486

1,2,743,1486

Now, list down the factors of 7823

1,7823

Greatest Common Factor

We found the factors 1486,7823 . The biggest common factor number is the GCF number.
So the greatest common factor 1486,7823 is 1.

Lets's calculate LCM of 830,6304

Lowest Common Multiple of 830,6304 using Common Division

2	830, 6304
	415, 3152

∴ So the LCM of the given numbers is 2 x 415 x 3152 = 2616160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2616160

Therefore, the GCF of Fractions 1486/830,7823/6304 is 1/2616160

Least Common Multiple of 830,6304 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 830,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,6304) = 2

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

GCF(830,6304) x common factors =2 x 1 = 2

LCM(830,6304) = ( 830 × 6304 ) / 2

LCM(830,6304) = 5232320 / 2

LCM(830,6304) = 2616160

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FAQs on GCF of Fractions of 1486/830, 7823/6304

1. What is the HCF of 1486,7823?

The HCF of 1486,7823 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 1486/830, 7823/6304?

Answer: GCF of Numerators as per given numbers 1486/830, 7823/6304 is

GCF of Numerators i.e. for 1486,7823 is 1

LCM of denominators i.e. for 830,6304 is 2616160.

Thus, GCF of Fractions is 1/2616160.Finally, GCF of Fractions for 1486/830, 7823/6304 is 1/2616160.