How to Find GCF of 9854/918, 9451/6559?

GCF of 9854/918, 9451/6559

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 9854/918, 9451/6559 i.e 13/6021162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9854/918, 9451/6559.

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 9854/918,9451/6559?

Given fractions are 9854/918,9451/6559

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 9854/918,9451/6559, numerators are 9854,9451

Denominators are 918,6559

The GCF of 9854,9451 is 13 .

LCM of 918,6559 is 6021162.

The greatest common factor of 9854/918,9451/6559 = [GCF of 9854,9451]/[LCM of 918,6559]= 13/6021162

Therefore, the GCF of 9854/918,9451/6559 is 13/6021162.

Greatest Common Factor of 9854,9451

To find the highest common factor of 9854,9451, we have to find the factors of both numbers and list the highest common factor.

The factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854

The factors of 9451 are 1, 13, 727, 9451

The HCF of 9854,9451 is 13.

Lets's calculate GCF of 9854,9451

Greatest Common Factor (GCF) of 9854,9451 By Common Division

13	9854, 9451
	758, 727

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9854,9451 By Matching Biggest Common Factor Method

Now, list down the factors of 9854

1,2,13,26,379,758,4927,9854

Now, list down the factors of 9451

1,13,727,9451

Greatest Common Factor

We found the factors 9854,9451 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,9451 is 13.

Lets's calculate LCM of 918,6559

Lowest Common Multiple of 918,6559 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6021162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6021162

Therefore, the GCF of Fractions 9854/918,9451/6559 is 13/6021162

Least Common Multiple of 918,6559 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 918,6559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,6559) = 1

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

GCF(918,6559) x common factors =1 x 1 = 1

LCM(918,6559) = ( 918 × 6559 ) / 1

LCM(918,6559) = 6021162 / 1

LCM(918,6559) = 6021162

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FAQs on GCF of Fractions of 9854/918, 9451/6559

1. What is the HCF of 9854,9451?

The HCF of 9854,9451 is 13

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 9854/918, 9451/6559?

Answer: GCF of Numerators as per given numbers 9854/918, 9451/6559 is

GCF of Numerators i.e. for 9854,9451 is 13

LCM of denominators i.e. for 918,6559 is 6021162.

Thus, GCF of Fractions is 13/6021162.Finally, GCF of Fractions for 9854/918, 9451/6559 is 13/6021162.