How to Find GCF of 1610/922, 9254/2699?

GCF of 1610/922, 9254/2699

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 1610/922, 9254/2699 i.e 14/2488478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1610/922, 9254/2699.

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 1610/922,9254/2699?

Given fractions are 1610/922,9254/2699

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 1610/922,9254/2699, numerators are 1610,9254

Denominators are 922,2699

The GCF of 1610,9254 is 14 .

LCM of 922,2699 is 2488478.

The greatest common factor of 1610/922,9254/2699 = [GCF of 1610,9254]/[LCM of 922,2699]= 14/2488478

Therefore, the GCF of 1610/922,9254/2699 is 14/2488478.

Greatest Common Factor of 1610,9254

To find the highest common factor of 1610,9254, we have to find the factors of both numbers and list the highest common factor.

The factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610

The factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254

The HCF of 1610,9254 is 14.

Lets's calculate GCF of 1610,9254

Greatest Common Factor (GCF) of 1610,9254 By Common Division

2	1610, 9254
7	805, 4627
	115, 661

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 1610,9254 By Matching Biggest Common Factor Method

Now, list down the factors of 1610

1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610

Now, list down the factors of 9254

1,2,7,14,661,1322,4627,9254

Greatest Common Factor

We found the factors 1610,9254 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,9254 is 14.

Lets's calculate LCM of 922,2699

Lowest Common Multiple of 922,2699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2488478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2488478

Therefore, the GCF of Fractions 1610/922,9254/2699 is 14/2488478

Least Common Multiple of 922,2699 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 922,2699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,2699) = 1

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

GCF(922,2699) x common factors =1 x 1 = 1

LCM(922,2699) = ( 922 × 2699 ) / 1

LCM(922,2699) = 2488478 / 1

LCM(922,2699) = 2488478

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1610/922, 9254/2699

1. What is the HCF of 1610,9254?

The HCF of 1610,9254 is 14

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 1610/922, 9254/2699?

Answer: GCF of Numerators as per given numbers 1610/922, 9254/2699 is

GCF of Numerators i.e. for 1610,9254 is 14

LCM of denominators i.e. for 922,2699 is 2488478.

Thus, GCF of Fractions is 14/2488478.Finally, GCF of Fractions for 1610/922, 9254/2699 is 14/2488478.