How to Find GCF of 9817/998, 6858/7654?

GCF of 9817/998, 6858/7654

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 9817/998, 6858/7654 i.e 1/3819346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9817/998, 6858/7654.

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 9817/998,6858/7654?

Given fractions are 9817/998,6858/7654

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 9817/998,6858/7654, numerators are 9817,6858

Denominators are 998,7654

The GCF of 9817,6858 is 1 .

LCM of 998,7654 is 3819346.

The greatest common factor of 9817/998,6858/7654 = [GCF of 9817,6858]/[LCM of 998,7654]= 1/3819346

Therefore, the GCF of 9817/998,6858/7654 is 1/3819346.

Greatest Common Factor of 9817,6858

To find the highest common factor of 9817,6858, we have to find the factors of both numbers and list the highest common factor.

The factors of 9817 are 1, 9817

The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858

The HCF of 9817,6858 is 1.

Lets's calculate GCF of 9817,6858

Greatest Common Factor (GCF) of 9817,6858 By Common Division

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

Greatest Common Factor of 9817,6858 By Matching Biggest Common Factor Method

Now, list down the factors of 9817

1,9817

Now, list down the factors of 6858

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 9817,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 9817,6858 is 1.

Lets's calculate LCM of 998,7654

Lowest Common Multiple of 998,7654 using Common Division

2	998, 7654
	499, 3827

∴ So the LCM of the given numbers is 2 x 499 x 3827 = 3819346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3819346

Therefore, the GCF of Fractions 9817/998,6858/7654 is 1/3819346

Least Common Multiple of 998,7654 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 998,7654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,7654) = 2

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

GCF(998,7654) x common factors =2 x 1 = 2

LCM(998,7654) = ( 998 × 7654 ) / 2

LCM(998,7654) = 7638692 / 2

LCM(998,7654) = 3819346

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FAQs on GCF of Fractions of 9817/998, 6858/7654

1. What is the HCF of 9817,6858?

The HCF of 9817,6858 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 9817/998, 6858/7654?

Answer: GCF of Numerators as per given numbers 9817/998, 6858/7654 is

GCF of Numerators i.e. for 9817,6858 is 1

LCM of denominators i.e. for 998,7654 is 3819346.

Thus, GCF of Fractions is 1/3819346.Finally, GCF of Fractions for 9817/998, 6858/7654 is 1/3819346.