How to Find GCF of 9097/519, 1905/7759?

GCF of 9097/519, 1905/7759

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 9097/519, 1905/7759 i.e 1/4026921 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9097/519, 1905/7759.

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 9097/519,1905/7759?

Given fractions are 9097/519,1905/7759

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 9097/519,1905/7759, numerators are 9097,1905

Denominators are 519,7759

The GCF of 9097,1905 is 1 .

LCM of 519,7759 is 4026921.

The greatest common factor of 9097/519,1905/7759 = [GCF of 9097,1905]/[LCM of 519,7759]= 1/4026921

Therefore, the GCF of 9097/519,1905/7759 is 1/4026921.

Greatest Common Factor of 9097,1905

To find the highest common factor of 9097,1905, we have to find the factors of both numbers and list the highest common factor.

The factors of 9097 are 1, 11, 827, 9097

The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905

The HCF of 9097,1905 is 1.

Lets's calculate GCF of 9097,1905

Greatest Common Factor (GCF) of 9097,1905 By Common Division

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

Greatest Common Factor of 9097,1905 By Matching Biggest Common Factor Method

Now, list down the factors of 9097

1,11,827,9097

Now, list down the factors of 1905

1,3,5,15,127,381,635,1905

Greatest Common Factor

We found the factors 9097,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 9097,1905 is 1.

Lets's calculate LCM of 519,7759

Lowest Common Multiple of 519,7759 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4026921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4026921

Therefore, the GCF of Fractions 9097/519,1905/7759 is 1/4026921

Least Common Multiple of 519,7759 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 519,7759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,7759) = 1

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

GCF(519,7759) x common factors =1 x 1 = 1

LCM(519,7759) = ( 519 × 7759 ) / 1

LCM(519,7759) = 4026921 / 1

LCM(519,7759) = 4026921

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FAQs on GCF of Fractions of 9097/519, 1905/7759

1. What is the HCF of 9097,1905?

The HCF of 9097,1905 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 9097/519, 1905/7759?

Answer: GCF of Numerators as per given numbers 9097/519, 1905/7759 is

GCF of Numerators i.e. for 9097,1905 is 1

LCM of denominators i.e. for 519,7759 is 4026921.

Thus, GCF of Fractions is 1/4026921.Finally, GCF of Fractions for 9097/519, 1905/7759 is 1/4026921.