How to Find GCF of 8983/623, 3945/8550?

GCF of 8983/623, 3945/8550

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 8983/623, 3945/8550 i.e 1/5326650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8983/623, 3945/8550.

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 8983/623,3945/8550?

Given fractions are 8983/623,3945/8550

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 8983/623,3945/8550, numerators are 8983,3945

Denominators are 623,8550

The GCF of 8983,3945 is 1 .

LCM of 623,8550 is 5326650.

The greatest common factor of 8983/623,3945/8550 = [GCF of 8983,3945]/[LCM of 623,8550]= 1/5326650

Therefore, the GCF of 8983/623,3945/8550 is 1/5326650.

Greatest Common Factor of 8983,3945

To find the highest common factor of 8983,3945, we have to find the factors of both numbers and list the highest common factor.

The factors of 8983 are 1, 13, 691, 8983

The factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945

The HCF of 8983,3945 is 1.

Lets's calculate GCF of 8983,3945

Greatest Common Factor (GCF) of 8983,3945 By Common Division

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

Greatest Common Factor of 8983,3945 By Matching Biggest Common Factor Method

Now, list down the factors of 8983

1,13,691,8983

Now, list down the factors of 3945

1,3,5,15,263,789,1315,3945

Greatest Common Factor

We found the factors 8983,3945 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,3945 is 1.

Lets's calculate LCM of 623,8550

Lowest Common Multiple of 623,8550 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5326650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5326650

Therefore, the GCF of Fractions 8983/623,3945/8550 is 1/5326650

Least Common Multiple of 623,8550 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 623,8550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,8550) = 1

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

GCF(623,8550) x common factors =1 x 1 = 1

LCM(623,8550) = ( 623 × 8550 ) / 1

LCM(623,8550) = 5326650 / 1

LCM(623,8550) = 5326650

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8983/623, 3945/8550

1. What is the HCF of 8983,3945?

The HCF of 8983,3945 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 8983/623, 3945/8550?

Answer: GCF of Numerators as per given numbers 8983/623, 3945/8550 is

GCF of Numerators i.e. for 8983,3945 is 1

LCM of denominators i.e. for 623,8550 is 5326650.

Thus, GCF of Fractions is 1/5326650.Finally, GCF of Fractions for 8983/623, 3945/8550 is 1/5326650.