How to Find GCF of 8355/100, 4605/3341?

GCF of 8355/100, 4605/3341

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 8355/100, 4605/3341 i.e 15/334100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8355/100, 4605/3341.

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 8355/100,4605/3341?

Given fractions are 8355/100,4605/3341

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 8355/100,4605/3341, numerators are 8355,4605

Denominators are 100,3341

The GCF of 8355,4605 is 15 .

LCM of 100,3341 is 334100.

The greatest common factor of 8355/100,4605/3341 = [GCF of 8355,4605]/[LCM of 100,3341]= 15/334100

Therefore, the GCF of 8355/100,4605/3341 is 15/334100.

Greatest Common Factor of 8355,4605

To find the highest common factor of 8355,4605, we have to find the factors of both numbers and list the highest common factor.

The factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355

The factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605

The HCF of 8355,4605 is 15.

Lets's calculate GCF of 8355,4605

Greatest Common Factor (GCF) of 8355,4605 By Common Division

3	8355, 4605
5	2785, 1535
	557, 307

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 8355,4605 By Matching Biggest Common Factor Method

Now, list down the factors of 8355

1,3,5,15,557,1671,2785,8355

Now, list down the factors of 4605

1,3,5,15,307,921,1535,4605

Greatest Common Factor

We found the factors 8355,4605 . The biggest common factor number is the GCF number.
So the greatest common factor 8355,4605 is 15.

Lets's calculate LCM of 100,3341

Lowest Common Multiple of 100,3341 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 334100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/334100

Therefore, the GCF of Fractions 8355/100,4605/3341 is 15/334100

Least Common Multiple of 100,3341 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 100,3341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,3341) = 1

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

GCF(100,3341) x common factors =1 x 1 = 1

LCM(100,3341) = ( 100 × 3341 ) / 1

LCM(100,3341) = 334100 / 1

LCM(100,3341) = 334100

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FAQs on GCF of Fractions of 8355/100, 4605/3341

1. What is the HCF of 8355,4605?

The HCF of 8355,4605 is 15

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 8355/100, 4605/3341?

Answer: GCF of Numerators as per given numbers 8355/100, 4605/3341 is

GCF of Numerators i.e. for 8355,4605 is 15

LCM of denominators i.e. for 100,3341 is 334100.

Thus, GCF of Fractions is 15/334100.Finally, GCF of Fractions for 8355/100, 4605/3341 is 15/334100.