How to Find GCF of 1913/712, 9717/1454?

GCF of 1913/712, 9717/1454

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 1913/712, 9717/1454 i.e 1/517624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1913/712, 9717/1454.

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 1913/712,9717/1454?

Given fractions are 1913/712,9717/1454

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 1913/712,9717/1454, numerators are 1913,9717

Denominators are 712,1454

The GCF of 1913,9717 is 1 .

LCM of 712,1454 is 517624.

The greatest common factor of 1913/712,9717/1454 = [GCF of 1913,9717]/[LCM of 712,1454]= 1/517624

Therefore, the GCF of 1913/712,9717/1454 is 1/517624.

Greatest Common Factor of 1913,9717

To find the highest common factor of 1913,9717, we have to find the factors of both numbers and list the highest common factor.

The factors of 1913 are 1, 1913

The factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717

The HCF of 1913,9717 is 1.

Lets's calculate GCF of 1913,9717

Greatest Common Factor (GCF) of 1913,9717 By Common Division

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

Greatest Common Factor of 1913,9717 By Matching Biggest Common Factor Method

Now, list down the factors of 1913

1,1913

Now, list down the factors of 9717

1,3,41,79,123,237,3239,9717

Greatest Common Factor

We found the factors 1913,9717 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,9717 is 1.

Lets's calculate LCM of 712,1454

Lowest Common Multiple of 712,1454 using Common Division

2	712, 1454
	356, 727

∴ So the LCM of the given numbers is 2 x 356 x 727 = 517624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517624

Therefore, the GCF of Fractions 1913/712,9717/1454 is 1/517624

Least Common Multiple of 712,1454 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 712,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,1454) = 2

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

GCF(712,1454) x common factors =2 x 1 = 2

LCM(712,1454) = ( 712 × 1454 ) / 2

LCM(712,1454) = 1035248 / 2

LCM(712,1454) = 517624

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FAQs on GCF of Fractions of 1913/712, 9717/1454

1. What is the HCF of 1913,9717?

The HCF of 1913,9717 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 1913/712, 9717/1454?

Answer: GCF of Numerators as per given numbers 1913/712, 9717/1454 is

GCF of Numerators i.e. for 1913,9717 is 1

LCM of denominators i.e. for 712,1454 is 517624.

Thus, GCF of Fractions is 1/517624.Finally, GCF of Fractions for 1913/712, 9717/1454 is 1/517624.