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GCF of 2609/370, 3851/8686

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 2609/370, 3851/8686 i.e 1/1606910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2609/370, 3851/8686.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2609/370,3851/8686?

Given fractions are 2609/370,3851/8686

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 2609/370,3851/8686, numerators are 2609,3851

Denominators are 370,8686

The GCF of 2609,3851 is 1 .

LCM of 370,8686 is 1606910.

The greatest common factor of 2609/370,3851/8686 = [GCF of 2609,3851]/[LCM of 370,8686]= 1/1606910

Therefore, the GCF of 2609/370,3851/8686 is 1/1606910.

Greatest Common Factor of 2609,3851

To find the highest common factor of 2609,3851, we have to find the factors of both numbers and list the highest common factor.

The factors of 2609 are 1, 2609

The factors of 3851 are 1, 3851

The HCF of 2609,3851 is 1.

Lets's calculate GCF of 2609,3851

Greatest Common Factor (GCF) of 2609,3851 By Common Division

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

Greatest Common Factor of 2609,3851 By Matching Biggest Common Factor Method

Greatest Common Factor of 2609,3851 By Matching Biggest Common Factor Method

Now, list down the factors of 2609

:

1,2609

Now, list down the factors of 3851

:

1,3851

Greatest Common Factor

We found the factors 2609,3851 . The biggest common factor number is the GCF number.
So the greatest common factor 2609,3851 is 1.

Lets's calculate LCM of 370,8686

Lowest Common Multiple of 370,8686 using Common Division

2 370, 8686
185, 4343

∴ So the LCM of the given numbers is 2 x 185 x 4343 = 1606910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1606910

Therefore, the GCF of Fractions 2609/370,3851/8686 is 1/1606910

Least Common Multiple of 370,8686 with GCF Formula

Least Common Multiple of 370,8686 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 370,8686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,8686) = 2

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

GCF(370,8686) x common factors =2 x 1 = 2

LCM(370,8686) = ( 370 × 8686 ) / 2

LCM(370,8686) = 3213820 / 2

LCM(370,8686) = 1606910


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FAQs on GCF of Fractions of 2609/370, 3851/8686

1. What is the HCF of 2609,3851?

The HCF of 2609,3851 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 2609/370, 3851/8686?

Answer: GCF of Numerators as per given numbers 2609/370, 3851/8686 is

GCF of Numerators i.e. for 2609,3851 is 1

LCM of denominators i.e. for 370,8686 is 1606910.

Thus, GCF of Fractions is 1/1606910.Finally, GCF of Fractions for 2609/370, 3851/8686 is 1/1606910.