How to Find GCF of 108/410, 3607/9086?

GCF of 108/410, 3607/9086

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 108/410, 3607/9086 i.e 1/1862630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/410, 3607/9086.

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 108/410,3607/9086?

Given fractions are 108/410,3607/9086

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 108/410,3607/9086, numerators are 108,3607

Denominators are 410,9086

The GCF of 108,3607 is 1 .

LCM of 410,9086 is 1862630.

The greatest common factor of 108/410,3607/9086 = [GCF of 108,3607]/[LCM of 410,9086]= 1/1862630

Therefore, the GCF of 108/410,3607/9086 is 1/1862630.

Greatest Common Factor of 108,3607

To find the highest common factor of 108,3607, we have to find the factors of both numbers and list the highest common factor.

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 3607 are 1, 3607

The HCF of 108,3607 is 1.

Lets's calculate GCF of 108,3607

Greatest Common Factor (GCF) of 108,3607 By Common Division

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

Greatest Common Factor of 108,3607 By Matching Biggest Common Factor Method

Now, list down the factors of 108

1,2,3,4,6,9,12,18,27,36,54,108

Now, list down the factors of 3607

1,3607

Greatest Common Factor

We found the factors 108,3607 . The biggest common factor number is the GCF number.
So the greatest common factor 108,3607 is 1.

Lets's calculate LCM of 410,9086

Lowest Common Multiple of 410,9086 using Common Division

2	410, 9086
	205, 4543

∴ So the LCM of the given numbers is 2 x 205 x 4543 = 1862630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1862630

Therefore, the GCF of Fractions 108/410,3607/9086 is 1/1862630

Least Common Multiple of 410,9086 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 410,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,9086) = 2

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

GCF(410,9086) x common factors =2 x 1 = 2

LCM(410,9086) = ( 410 × 9086 ) / 2

LCM(410,9086) = 3725260 / 2

LCM(410,9086) = 1862630

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FAQs on GCF of Fractions of 108/410, 3607/9086

1. What is the HCF of 108,3607?

The HCF of 108,3607 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 108/410, 3607/9086?

Answer: GCF of Numerators as per given numbers 108/410, 3607/9086 is

GCF of Numerators i.e. for 108,3607 is 1

LCM of denominators i.e. for 410,9086 is 1862630.

Thus, GCF of Fractions is 1/1862630.Finally, GCF of Fractions for 108/410, 3607/9086 is 1/1862630.