How to Find GCF of 1899/970, 9832/6340?

GCF of 1899/970, 9832/6340

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 1899/970, 9832/6340 i.e 1/614980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1899/970, 9832/6340.

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 1899/970,9832/6340?

Given fractions are 1899/970,9832/6340

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 1899/970,9832/6340, numerators are 1899,9832

Denominators are 970,6340

The GCF of 1899,9832 is 1 .

LCM of 970,6340 is 614980.

The greatest common factor of 1899/970,9832/6340 = [GCF of 1899,9832]/[LCM of 970,6340]= 1/614980

Therefore, the GCF of 1899/970,9832/6340 is 1/614980.

Greatest Common Factor of 1899,9832

To find the highest common factor of 1899,9832, we have to find the factors of both numbers and list the highest common factor.

The factors of 1899 are 1, 3, 9, 211, 633, 1899

The factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832

The HCF of 1899,9832 is 1.

Lets's calculate GCF of 1899,9832

Greatest Common Factor (GCF) of 1899,9832 By Common Division

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

Greatest Common Factor of 1899,9832 By Matching Biggest Common Factor Method

Now, list down the factors of 1899

1,3,9,211,633,1899

Now, list down the factors of 9832

1,2,4,8,1229,2458,4916,9832

Greatest Common Factor

We found the factors 1899,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 1899,9832 is 1.

Lets's calculate LCM of 970,6340

Lowest Common Multiple of 970,6340 using Common Division

2	970, 6340
5	485, 3170
	97, 634

∴ So the LCM of the given numbers is 2 x 5 x 97 x 634 = 614980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614980

Therefore, the GCF of Fractions 1899/970,9832/6340 is 1/614980

Least Common Multiple of 970,6340 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 970,6340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,6340) = 10

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

GCF(970,6340) x common factors =10 x 1 = 10

LCM(970,6340) = ( 970 × 6340 ) / 10

LCM(970,6340) = 6149800 / 10

LCM(970,6340) = 614980

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FAQs on GCF of Fractions of 1899/970, 9832/6340

1. What is the HCF of 1899,9832?

The HCF of 1899,9832 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 1899/970, 9832/6340?

Answer: GCF of Numerators as per given numbers 1899/970, 9832/6340 is

GCF of Numerators i.e. for 1899,9832 is 1

LCM of denominators i.e. for 970,6340 is 614980.

Thus, GCF of Fractions is 1/614980.Finally, GCF of Fractions for 1899/970, 9832/6340 is 1/614980.