How to Find GCF of 1633/629, 8327/7702?

GCF of 1633/629, 8327/7702

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 1633/629, 8327/7702 i.e 1/4844558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1633/629, 8327/7702.

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 1633/629,8327/7702?

Given fractions are 1633/629,8327/7702

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 1633/629,8327/7702, numerators are 1633,8327

Denominators are 629,7702

The GCF of 1633,8327 is 1 .

LCM of 629,7702 is 4844558.

The greatest common factor of 1633/629,8327/7702 = [GCF of 1633,8327]/[LCM of 629,7702]= 1/4844558

Therefore, the GCF of 1633/629,8327/7702 is 1/4844558.

Greatest Common Factor of 1633,8327

To find the highest common factor of 1633,8327, we have to find the factors of both numbers and list the highest common factor.

The factors of 1633 are 1, 23, 71, 1633

The factors of 8327 are 1, 11, 757, 8327

The HCF of 1633,8327 is 1.

Lets's calculate GCF of 1633,8327

Greatest Common Factor (GCF) of 1633,8327 By Common Division

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

Greatest Common Factor of 1633,8327 By Matching Biggest Common Factor Method

Now, list down the factors of 1633

1,23,71,1633

Now, list down the factors of 8327

1,11,757,8327

Greatest Common Factor

We found the factors 1633,8327 . The biggest common factor number is the GCF number.
So the greatest common factor 1633,8327 is 1.

Lets's calculate LCM of 629,7702

Lowest Common Multiple of 629,7702 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4844558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4844558

Therefore, the GCF of Fractions 1633/629,8327/7702 is 1/4844558

Least Common Multiple of 629,7702 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 629,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,7702) = 1

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

GCF(629,7702) x common factors =1 x 1 = 1

LCM(629,7702) = ( 629 × 7702 ) / 1

LCM(629,7702) = 4844558 / 1

LCM(629,7702) = 4844558

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FAQs on GCF of Fractions of 1633/629, 8327/7702

1. What is the HCF of 1633,8327?

The HCF of 1633,8327 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 1633/629, 8327/7702?

Answer: GCF of Numerators as per given numbers 1633/629, 8327/7702 is

GCF of Numerators i.e. for 1633,8327 is 1

LCM of denominators i.e. for 629,7702 is 4844558.

Thus, GCF of Fractions is 1/4844558.Finally, GCF of Fractions for 1633/629, 8327/7702 is 1/4844558.