How to Find GCF of 9772/265, 1994/408?

GCF of 9772/265, 1994/408

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 9772/265, 1994/408 i.e 2/108120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9772/265, 1994/408.

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 9772/265,1994/408?

Given fractions are 9772/265,1994/408

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 9772/265,1994/408, numerators are 9772,1994

Denominators are 265,408

The GCF of 9772,1994 is 2 .

LCM of 265,408 is 108120.

The greatest common factor of 9772/265,1994/408 = [GCF of 9772,1994]/[LCM of 265,408]= 2/108120

Therefore, the GCF of 9772/265,1994/408 is 2/108120.

Greatest Common Factor of 9772,1994

To find the highest common factor of 9772,1994, we have to find the factors of both numbers and list the highest common factor.

The factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

The factors of 1994 are 1, 2, 997, 1994

The HCF of 9772,1994 is 2.

Lets's calculate GCF of 9772,1994

Greatest Common Factor (GCF) of 9772,1994 By Common Division

2	9772, 1994
	4886, 997

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9772,1994 By Matching Biggest Common Factor Method

Now, list down the factors of 9772

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Now, list down the factors of 1994

1,2,997,1994

Greatest Common Factor

We found the factors 9772,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 9772,1994 is 2.

Lets's calculate LCM of 265,408

Lowest Common Multiple of 265,408 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 108120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108120

Therefore, the GCF of Fractions 9772/265,1994/408 is 2/108120

Least Common Multiple of 265,408 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 265,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,408) = 1

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

GCF(265,408) x common factors =1 x 1 = 1

LCM(265,408) = ( 265 × 408 ) / 1

LCM(265,408) = 108120 / 1

LCM(265,408) = 108120

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FAQs on GCF of Fractions of 9772/265, 1994/408

1. What is the HCF of 9772,1994?

The HCF of 9772,1994 is 2

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 9772/265, 1994/408?

Answer: GCF of Numerators as per given numbers 9772/265, 1994/408 is

GCF of Numerators i.e. for 9772,1994 is 2

LCM of denominators i.e. for 265,408 is 108120.

Thus, GCF of Fractions is 2/108120.Finally, GCF of Fractions for 9772/265, 1994/408 is 2/108120.