How to Find GCF of 3410/986, 1897/9446?

GCF of 3410/986, 1897/9446

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 3410/986, 1897/9446 i.e 1/4656878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3410/986, 1897/9446.

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 3410/986,1897/9446?

Given fractions are 3410/986,1897/9446

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 3410/986,1897/9446, numerators are 3410,1897

Denominators are 986,9446

The GCF of 3410,1897 is 1 .

LCM of 986,9446 is 4656878.

The greatest common factor of 3410/986,1897/9446 = [GCF of 3410,1897]/[LCM of 986,9446]= 1/4656878

Therefore, the GCF of 3410/986,1897/9446 is 1/4656878.

Greatest Common Factor of 3410,1897

To find the highest common factor of 3410,1897, we have to find the factors of both numbers and list the highest common factor.

The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410

The factors of 1897 are 1, 7, 271, 1897

The HCF of 3410,1897 is 1.

Lets's calculate GCF of 3410,1897

Greatest Common Factor (GCF) of 3410,1897 By Common Division

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

Greatest Common Factor of 3410,1897 By Matching Biggest Common Factor Method

Now, list down the factors of 3410

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Now, list down the factors of 1897

1,7,271,1897

Greatest Common Factor

We found the factors 3410,1897 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,1897 is 1.

Lets's calculate LCM of 986,9446

Lowest Common Multiple of 986,9446 using Common Division

2	986, 9446
	493, 4723

∴ So the LCM of the given numbers is 2 x 493 x 4723 = 4656878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4656878

Therefore, the GCF of Fractions 3410/986,1897/9446 is 1/4656878

Least Common Multiple of 986,9446 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 986,9446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,9446) = 2

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

GCF(986,9446) x common factors =2 x 1 = 2

LCM(986,9446) = ( 986 × 9446 ) / 2

LCM(986,9446) = 9313756 / 2

LCM(986,9446) = 4656878

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FAQs on GCF of Fractions of 3410/986, 1897/9446

1. What is the HCF of 3410,1897?

The HCF of 3410,1897 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 3410/986, 1897/9446?

Answer: GCF of Numerators as per given numbers 3410/986, 1897/9446 is

GCF of Numerators i.e. for 3410,1897 is 1

LCM of denominators i.e. for 986,9446 is 4656878.

Thus, GCF of Fractions is 1/4656878.Finally, GCF of Fractions for 3410/986, 1897/9446 is 1/4656878.