How to Find GCF of 1458/827, 1014/7904?

GCF of 1458/827, 1014/7904

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 1458/827, 1014/7904 i.e 6/6536608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1458/827, 1014/7904.

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 1458/827,1014/7904?

Given fractions are 1458/827,1014/7904

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 1458/827,1014/7904, numerators are 1458,1014

Denominators are 827,7904

The GCF of 1458,1014 is 6 .

LCM of 827,7904 is 6536608.

The greatest common factor of 1458/827,1014/7904 = [GCF of 1458,1014]/[LCM of 827,7904]= 6/6536608

Therefore, the GCF of 1458/827,1014/7904 is 6/6536608.

Greatest Common Factor of 1458,1014

To find the highest common factor of 1458,1014, we have to find the factors of both numbers and list the highest common factor.

The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458

The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

The HCF of 1458,1014 is 6.

Lets's calculate GCF of 1458,1014

Greatest Common Factor (GCF) of 1458,1014 By Common Division

2	1458, 1014
3	729, 507
	243, 169

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1458,1014 By Matching Biggest Common Factor Method

Now, list down the factors of 1458

1,2,3,6,9,18,27,54,81,162,243,486,729,1458

Now, list down the factors of 1014

1,2,3,6,13,26,39,78,169,338,507,1014

Greatest Common Factor

We found the factors 1458,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 1458,1014 is 6.

Lets's calculate LCM of 827,7904

Lowest Common Multiple of 827,7904 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6536608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6536608

Therefore, the GCF of Fractions 1458/827,1014/7904 is 6/6536608

Least Common Multiple of 827,7904 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 827,7904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,7904) = 1

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

GCF(827,7904) x common factors =1 x 1 = 1

LCM(827,7904) = ( 827 × 7904 ) / 1

LCM(827,7904) = 6536608 / 1

LCM(827,7904) = 6536608

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1458/827, 1014/7904

1. What is the HCF of 1458,1014?

The HCF of 1458,1014 is 6

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 1458/827, 1014/7904?

Answer: GCF of Numerators as per given numbers 1458/827, 1014/7904 is

GCF of Numerators i.e. for 1458,1014 is 6

LCM of denominators i.e. for 827,7904 is 6536608.

Thus, GCF of Fractions is 6/6536608.Finally, GCF of Fractions for 1458/827, 1014/7904 is 6/6536608.