How to Find GCF of 9997/991, 4078/949?

GCF of 9997/991, 4078/949

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 9997/991, 4078/949 i.e 1/940459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9997/991, 4078/949.

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 9997/991,4078/949?

Given fractions are 9997/991,4078/949

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 9997/991,4078/949, numerators are 9997,4078

Denominators are 991,949

The GCF of 9997,4078 is 1 .

LCM of 991,949 is 940459.

The greatest common factor of 9997/991,4078/949 = [GCF of 9997,4078]/[LCM of 991,949]= 1/940459

Therefore, the GCF of 9997/991,4078/949 is 1/940459.

Greatest Common Factor of 9997,4078

To find the highest common factor of 9997,4078, we have to find the factors of both numbers and list the highest common factor.

The factors of 9997 are 1, 13, 769, 9997

The factors of 4078 are 1, 2, 2039, 4078

The HCF of 9997,4078 is 1.

Lets's calculate GCF of 9997,4078

Greatest Common Factor (GCF) of 9997,4078 By Common Division

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

Greatest Common Factor of 9997,4078 By Matching Biggest Common Factor Method

Now, list down the factors of 9997

1,13,769,9997

Now, list down the factors of 4078

1,2,2039,4078

Greatest Common Factor

We found the factors 9997,4078 . The biggest common factor number is the GCF number.
So the greatest common factor 9997,4078 is 1.

Lets's calculate LCM of 991,949

Lowest Common Multiple of 991,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 940459

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/940459

Therefore, the GCF of Fractions 9997/991,4078/949 is 1/940459

Least Common Multiple of 991,949 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 991,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,949) = 1

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

GCF(991,949) x common factors =1 x 1 = 1

LCM(991,949) = ( 991 × 949 ) / 1

LCM(991,949) = 940459 / 1

LCM(991,949) = 940459

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FAQs on GCF of Fractions of 9997/991, 4078/949

1. What is the HCF of 9997,4078?

The HCF of 9997,4078 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 9997/991, 4078/949?

Answer: GCF of Numerators as per given numbers 9997/991, 4078/949 is

GCF of Numerators i.e. for 9997,4078 is 1

LCM of denominators i.e. for 991,949 is 940459.

Thus, GCF of Fractions is 1/940459.Finally, GCF of Fractions for 9997/991, 4078/949 is 1/940459.