How to Find GCF of 9791/454, 9670/1148?

GCF of 9791/454, 9670/1148

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 9791/454, 9670/1148 i.e 1/260596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9791/454, 9670/1148.

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 9791/454,9670/1148?

Given fractions are 9791/454,9670/1148

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 9791/454,9670/1148, numerators are 9791,9670

Denominators are 454,1148

The GCF of 9791,9670 is 1 .

LCM of 454,1148 is 260596.

The greatest common factor of 9791/454,9670/1148 = [GCF of 9791,9670]/[LCM of 454,1148]= 1/260596

Therefore, the GCF of 9791/454,9670/1148 is 1/260596.

Greatest Common Factor of 9791,9670

To find the highest common factor of 9791,9670, we have to find the factors of both numbers and list the highest common factor.

The factors of 9791 are 1, 9791

The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670

The HCF of 9791,9670 is 1.

Lets's calculate GCF of 9791,9670

Greatest Common Factor (GCF) of 9791,9670 By Common Division

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

Greatest Common Factor of 9791,9670 By Matching Biggest Common Factor Method

Now, list down the factors of 9791

1,9791

Now, list down the factors of 9670

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 9791,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 9791,9670 is 1.

Lets's calculate LCM of 454,1148

Lowest Common Multiple of 454,1148 using Common Division

2	454, 1148
	227, 574

∴ So the LCM of the given numbers is 2 x 227 x 574 = 260596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260596

Therefore, the GCF of Fractions 9791/454,9670/1148 is 1/260596

Least Common Multiple of 454,1148 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 454,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,1148) = 2

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

GCF(454,1148) x common factors =2 x 1 = 2

LCM(454,1148) = ( 454 × 1148 ) / 2

LCM(454,1148) = 521192 / 2

LCM(454,1148) = 260596

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FAQs on GCF of Fractions of 9791/454, 9670/1148

1. What is the HCF of 9791,9670?

The HCF of 9791,9670 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 9791/454, 9670/1148?

Answer: GCF of Numerators as per given numbers 9791/454, 9670/1148 is

GCF of Numerators i.e. for 9791,9670 is 1

LCM of denominators i.e. for 454,1148 is 260596.

Thus, GCF of Fractions is 1/260596.Finally, GCF of Fractions for 9791/454, 9670/1148 is 1/260596.