How to Find GCF of 3611/410, 3713/8229?

GCF of 3611/410, 3713/8229

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 3611/410, 3713/8229 i.e 1/3373890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3611/410, 3713/8229.

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 3611/410,3713/8229?

Given fractions are 3611/410,3713/8229

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 3611/410,3713/8229, numerators are 3611,3713

Denominators are 410,8229

The GCF of 3611,3713 is 1 .

LCM of 410,8229 is 3373890.

The greatest common factor of 3611/410,3713/8229 = [GCF of 3611,3713]/[LCM of 410,8229]= 1/3373890

Therefore, the GCF of 3611/410,3713/8229 is 1/3373890.

Greatest Common Factor of 3611,3713

To find the highest common factor of 3611,3713, we have to find the factors of both numbers and list the highest common factor.

The factors of 3611 are 1, 23, 157, 3611

The factors of 3713 are 1, 47, 79, 3713

The HCF of 3611,3713 is 1.

Lets's calculate GCF of 3611,3713

Greatest Common Factor (GCF) of 3611,3713 By Common Division

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

Greatest Common Factor of 3611,3713 By Matching Biggest Common Factor Method

Now, list down the factors of 3611

1,23,157,3611

Now, list down the factors of 3713

1,47,79,3713

Greatest Common Factor

We found the factors 3611,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 3611,3713 is 1.

Lets's calculate LCM of 410,8229

Lowest Common Multiple of 410,8229 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3373890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3373890

Therefore, the GCF of Fractions 3611/410,3713/8229 is 1/3373890

Least Common Multiple of 410,8229 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 410,8229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,8229) = 1

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

GCF(410,8229) x common factors =1 x 1 = 1

LCM(410,8229) = ( 410 × 8229 ) / 1

LCM(410,8229) = 3373890 / 1

LCM(410,8229) = 3373890

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FAQs on GCF of Fractions of 3611/410, 3713/8229

1. What is the HCF of 3611,3713?

The HCF of 3611,3713 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 3611/410, 3713/8229?

Answer: GCF of Numerators as per given numbers 3611/410, 3713/8229 is

GCF of Numerators i.e. for 3611,3713 is 1

LCM of denominators i.e. for 410,8229 is 3373890.

Thus, GCF of Fractions is 1/3373890.Finally, GCF of Fractions for 3611/410, 3713/8229 is 1/3373890.