How to Find GCF of 6060/910, 4607/8284?

GCF of 6060/910, 4607/8284

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 6060/910, 4607/8284 i.e 1/3769220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6060/910, 4607/8284.

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 6060/910,4607/8284?

Given fractions are 6060/910,4607/8284

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 6060/910,4607/8284, numerators are 6060,4607

Denominators are 910,8284

The GCF of 6060,4607 is 1 .

LCM of 910,8284 is 3769220.

The greatest common factor of 6060/910,4607/8284 = [GCF of 6060,4607]/[LCM of 910,8284]= 1/3769220

Therefore, the GCF of 6060/910,4607/8284 is 1/3769220.

Greatest Common Factor of 6060,4607

To find the highest common factor of 6060,4607, we have to find the factors of both numbers and list the highest common factor.

The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

The factors of 4607 are 1, 17, 271, 4607

The HCF of 6060,4607 is 1.

Lets's calculate GCF of 6060,4607

Greatest Common Factor (GCF) of 6060,4607 By Common Division

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

Greatest Common Factor of 6060,4607 By Matching Biggest Common Factor Method

Now, list down the factors of 6060

1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060

Now, list down the factors of 4607

1,17,271,4607

Greatest Common Factor

We found the factors 6060,4607 . The biggest common factor number is the GCF number.
So the greatest common factor 6060,4607 is 1.

Lets's calculate LCM of 910,8284

Lowest Common Multiple of 910,8284 using Common Division

2	910, 8284
	455, 4142

∴ So the LCM of the given numbers is 2 x 455 x 4142 = 3769220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3769220

Therefore, the GCF of Fractions 6060/910,4607/8284 is 1/3769220

Least Common Multiple of 910,8284 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 910,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,8284) = 2

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

GCF(910,8284) x common factors =2 x 1 = 2

LCM(910,8284) = ( 910 × 8284 ) / 2

LCM(910,8284) = 7538440 / 2

LCM(910,8284) = 3769220

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FAQs on GCF of Fractions of 6060/910, 4607/8284

1. What is the HCF of 6060,4607?

The HCF of 6060,4607 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 6060/910, 4607/8284?

Answer: GCF of Numerators as per given numbers 6060/910, 4607/8284 is

GCF of Numerators i.e. for 6060,4607 is 1

LCM of denominators i.e. for 910,8284 is 3769220.

Thus, GCF of Fractions is 1/3769220.Finally, GCF of Fractions for 6060/910, 4607/8284 is 1/3769220.