How to Find GCF of 1601/745, 9496/9089?

GCF of 1601/745, 9496/9089

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 1601/745, 9496/9089 i.e 1/45445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1601/745, 9496/9089.

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 1601/745,9496/9089?

Given fractions are 1601/745,9496/9089

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 1601/745,9496/9089, numerators are 1601,9496

Denominators are 745,9089

The GCF of 1601,9496 is 1 .

LCM of 745,9089 is 45445.

The greatest common factor of 1601/745,9496/9089 = [GCF of 1601,9496]/[LCM of 745,9089]= 1/45445

Therefore, the GCF of 1601/745,9496/9089 is 1/45445.

Greatest Common Factor of 1601,9496

To find the highest common factor of 1601,9496, we have to find the factors of both numbers and list the highest common factor.

The factors of 1601 are 1, 1601

The factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496

The HCF of 1601,9496 is 1.

Lets's calculate GCF of 1601,9496

Greatest Common Factor (GCF) of 1601,9496 By Common Division

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

Greatest Common Factor of 1601,9496 By Matching Biggest Common Factor Method

Now, list down the factors of 1601

1,1601

Now, list down the factors of 9496

1,2,4,8,1187,2374,4748,9496

Greatest Common Factor

We found the factors 1601,9496 . The biggest common factor number is the GCF number.
So the greatest common factor 1601,9496 is 1.

Lets's calculate LCM of 745,9089

Lowest Common Multiple of 745,9089 using Common Division

149	745, 9089
	5, 61

∴ So the LCM of the given numbers is 149 x 5 x 61 = 45445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45445

Therefore, the GCF of Fractions 1601/745,9496/9089 is 1/45445

Least Common Multiple of 745,9089 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 745,9089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,9089) = 149

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

GCF(745,9089) x common factors =149 x 1 = 149

LCM(745,9089) = ( 745 × 9089 ) / 149

LCM(745,9089) = 6771305 / 149

LCM(745,9089) = 45445

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FAQs on GCF of Fractions of 1601/745, 9496/9089

1. What is the HCF of 1601,9496?

The HCF of 1601,9496 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 1601/745, 9496/9089?

Answer: GCF of Numerators as per given numbers 1601/745, 9496/9089 is

GCF of Numerators i.e. for 1601,9496 is 1

LCM of denominators i.e. for 745,9089 is 45445.

Thus, GCF of Fractions is 1/45445.Finally, GCF of Fractions for 1601/745, 9496/9089 is 1/45445.