How to Find GCF of 1949/397, 1994/8611?

GCF of 1949/397, 1994/8611

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 1949/397, 1994/8611 i.e 1/3418567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1949/397, 1994/8611.

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 1949/397,1994/8611?

Given fractions are 1949/397,1994/8611

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 1949/397,1994/8611, numerators are 1949,1994

Denominators are 397,8611

The GCF of 1949,1994 is 1 .

LCM of 397,8611 is 3418567.

The greatest common factor of 1949/397,1994/8611 = [GCF of 1949,1994]/[LCM of 397,8611]= 1/3418567

Therefore, the GCF of 1949/397,1994/8611 is 1/3418567.

Greatest Common Factor of 1949,1994

To find the highest common factor of 1949,1994, we have to find the factors of both numbers and list the highest common factor.

The factors of 1949 are 1, 1949

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

The HCF of 1949,1994 is 1.

Lets's calculate GCF of 1949,1994

Greatest Common Factor (GCF) of 1949,1994 By Common Division

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

Greatest Common Factor of 1949,1994 By Matching Biggest Common Factor Method

Now, list down the factors of 1949

1,1949

Now, list down the factors of 1994

1,2,997,1994

Greatest Common Factor

We found the factors 1949,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,1994 is 1.

Lets's calculate LCM of 397,8611

Lowest Common Multiple of 397,8611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3418567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3418567

Therefore, the GCF of Fractions 1949/397,1994/8611 is 1/3418567

Least Common Multiple of 397,8611 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 397,8611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,8611) = 1

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

GCF(397,8611) x common factors =1 x 1 = 1

LCM(397,8611) = ( 397 × 8611 ) / 1

LCM(397,8611) = 3418567 / 1

LCM(397,8611) = 3418567

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FAQs on GCF of Fractions of 1949/397, 1994/8611

1. What is the HCF of 1949,1994?

The HCF of 1949,1994 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 1949/397, 1994/8611?

Answer: GCF of Numerators as per given numbers 1949/397, 1994/8611 is

GCF of Numerators i.e. for 1949,1994 is 1

LCM of denominators i.e. for 397,8611 is 3418567.

Thus, GCF of Fractions is 1/3418567.Finally, GCF of Fractions for 1949/397, 1994/8611 is 1/3418567.