How to Find GCF of 611/849, 4054/6329?

GCF of 611/849, 4054/6329

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 611/849, 4054/6329 i.e 1/5373321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/849, 4054/6329.

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 611/849,4054/6329?

Given fractions are 611/849,4054/6329

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 611/849,4054/6329, numerators are 611,4054

Denominators are 849,6329

The GCF of 611,4054 is 1 .

LCM of 849,6329 is 5373321.

The greatest common factor of 611/849,4054/6329 = [GCF of 611,4054]/[LCM of 849,6329]= 1/5373321

Therefore, the GCF of 611/849,4054/6329 is 1/5373321.

Greatest Common Factor of 611,4054

To find the highest common factor of 611,4054, we have to find the factors of both numbers and list the highest common factor.

The factors of 611 are 1, 13, 47, 611

The factors of 4054 are 1, 2, 2027, 4054

The HCF of 611,4054 is 1.

Lets's calculate GCF of 611,4054

Greatest Common Factor (GCF) of 611,4054 By Common Division

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

Greatest Common Factor of 611,4054 By Matching Biggest Common Factor Method

Now, list down the factors of 611

1,13,47,611

Now, list down the factors of 4054

1,2,2027,4054

Greatest Common Factor

We found the factors 611,4054 . The biggest common factor number is the GCF number.
So the greatest common factor 611,4054 is 1.

Lets's calculate LCM of 849,6329

Lowest Common Multiple of 849,6329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5373321

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5373321

Therefore, the GCF of Fractions 611/849,4054/6329 is 1/5373321

Least Common Multiple of 849,6329 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 849,6329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,6329) = 1

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

GCF(849,6329) x common factors =1 x 1 = 1

LCM(849,6329) = ( 849 × 6329 ) / 1

LCM(849,6329) = 5373321 / 1

LCM(849,6329) = 5373321

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FAQs on GCF of Fractions of 611/849, 4054/6329

1. What is the HCF of 611,4054?

The HCF of 611,4054 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 611/849, 4054/6329?

Answer: GCF of Numerators as per given numbers 611/849, 4054/6329 is

GCF of Numerators i.e. for 611,4054 is 1

LCM of denominators i.e. for 849,6329 is 5373321.

Thus, GCF of Fractions is 1/5373321.Finally, GCF of Fractions for 611/849, 4054/6329 is 1/5373321.