How to Find GCF of 9778/671, 4173/936?

GCF of 9778/671, 4173/936

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 9778/671, 4173/936 i.e 1/628056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9778/671, 4173/936.

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 9778/671,4173/936?

Given fractions are 9778/671,4173/936

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 9778/671,4173/936, numerators are 9778,4173

Denominators are 671,936

The GCF of 9778,4173 is 1 .

LCM of 671,936 is 628056.

The greatest common factor of 9778/671,4173/936 = [GCF of 9778,4173]/[LCM of 671,936]= 1/628056

Therefore, the GCF of 9778/671,4173/936 is 1/628056.

Greatest Common Factor of 9778,4173

To find the highest common factor of 9778,4173, we have to find the factors of both numbers and list the highest common factor.

The factors of 9778 are 1, 2, 4889, 9778

The factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173

The HCF of 9778,4173 is 1.

Lets's calculate GCF of 9778,4173

Greatest Common Factor (GCF) of 9778,4173 By Common Division

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

Greatest Common Factor of 9778,4173 By Matching Biggest Common Factor Method

Now, list down the factors of 9778

1,2,4889,9778

Now, list down the factors of 4173

1,3,13,39,107,321,1391,4173

Greatest Common Factor

We found the factors 9778,4173 . The biggest common factor number is the GCF number.
So the greatest common factor 9778,4173 is 1.

Lets's calculate LCM of 671,936

Lowest Common Multiple of 671,936 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 628056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628056

Therefore, the GCF of Fractions 9778/671,4173/936 is 1/628056

Least Common Multiple of 671,936 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 671,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,936) = 1

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

GCF(671,936) x common factors =1 x 1 = 1

LCM(671,936) = ( 671 × 936 ) / 1

LCM(671,936) = 628056 / 1

LCM(671,936) = 628056

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FAQs on GCF of Fractions of 9778/671, 4173/936

1. What is the HCF of 9778,4173?

The HCF of 9778,4173 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 9778/671, 4173/936?

Answer: GCF of Numerators as per given numbers 9778/671, 4173/936 is

GCF of Numerators i.e. for 9778,4173 is 1

LCM of denominators i.e. for 671,936 is 628056.

Thus, GCF of Fractions is 1/628056.Finally, GCF of Fractions for 9778/671, 4173/936 is 1/628056.