How to Find GCF of 3716/908, 1307/1580?

GCF of 3716/908, 1307/1580

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 3716/908, 1307/1580 i.e 1/358660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3716/908, 1307/1580.

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 3716/908,1307/1580?

Given fractions are 3716/908,1307/1580

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 3716/908,1307/1580, numerators are 3716,1307

Denominators are 908,1580

The GCF of 3716,1307 is 1 .

LCM of 908,1580 is 358660.

The greatest common factor of 3716/908,1307/1580 = [GCF of 3716,1307]/[LCM of 908,1580]= 1/358660

Therefore, the GCF of 3716/908,1307/1580 is 1/358660.

Greatest Common Factor of 3716,1307

To find the highest common factor of 3716,1307, we have to find the factors of both numbers and list the highest common factor.

The factors of 3716 are 1, 2, 4, 929, 1858, 3716

The factors of 1307 are 1, 1307

The HCF of 3716,1307 is 1.

Lets's calculate GCF of 3716,1307

Greatest Common Factor (GCF) of 3716,1307 By Common Division

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

Greatest Common Factor of 3716,1307 By Matching Biggest Common Factor Method

Now, list down the factors of 3716

1,2,4,929,1858,3716

Now, list down the factors of 1307

1,1307

Greatest Common Factor

We found the factors 3716,1307 . The biggest common factor number is the GCF number.
So the greatest common factor 3716,1307 is 1.

Lets's calculate LCM of 908,1580

Lowest Common Multiple of 908,1580 using Common Division

2	908, 1580
2	454, 790
	227, 395

∴ So the LCM of the given numbers is 2 x 2 x 227 x 395 = 358660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358660

Therefore, the GCF of Fractions 3716/908,1307/1580 is 1/358660

Least Common Multiple of 908,1580 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 908,1580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,1580) = 4

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

GCF(908,1580) x common factors =4 x 1 = 4

LCM(908,1580) = ( 908 × 1580 ) / 4

LCM(908,1580) = 1434640 / 4

LCM(908,1580) = 358660

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3716/908, 1307/1580

1. What is the HCF of 3716,1307?

The HCF of 3716,1307 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 3716/908, 1307/1580?

Answer: GCF of Numerators as per given numbers 3716/908, 1307/1580 is

GCF of Numerators i.e. for 3716,1307 is 1

LCM of denominators i.e. for 908,1580 is 358660.

Thus, GCF of Fractions is 1/358660.Finally, GCF of Fractions for 3716/908, 1307/1580 is 1/358660.