How to Find GCF of 1730/425, 3889/9541?

GCF of 1730/425, 3889/9541

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 1730/425, 3889/9541 i.e 1/4054925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1730/425, 3889/9541.

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 1730/425,3889/9541?

Given fractions are 1730/425,3889/9541

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 1730/425,3889/9541, numerators are 1730,3889

Denominators are 425,9541

The GCF of 1730,3889 is 1 .

LCM of 425,9541 is 4054925.

The greatest common factor of 1730/425,3889/9541 = [GCF of 1730,3889]/[LCM of 425,9541]= 1/4054925

Therefore, the GCF of 1730/425,3889/9541 is 1/4054925.

Greatest Common Factor of 1730,3889

To find the highest common factor of 1730,3889, we have to find the factors of both numbers and list the highest common factor.

The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730

The factors of 3889 are 1, 3889

The HCF of 1730,3889 is 1.

Lets's calculate GCF of 1730,3889

Greatest Common Factor (GCF) of 1730,3889 By Common Division

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

Greatest Common Factor of 1730,3889 By Matching Biggest Common Factor Method

Now, list down the factors of 1730

1,2,5,10,173,346,865,1730

Now, list down the factors of 3889

1,3889

Greatest Common Factor

We found the factors 1730,3889 . The biggest common factor number is the GCF number.
So the greatest common factor 1730,3889 is 1.

Lets's calculate LCM of 425,9541

Lowest Common Multiple of 425,9541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4054925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4054925

Therefore, the GCF of Fractions 1730/425,3889/9541 is 1/4054925

Least Common Multiple of 425,9541 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 425,9541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,9541) = 1

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

GCF(425,9541) x common factors =1 x 1 = 1

LCM(425,9541) = ( 425 × 9541 ) / 1

LCM(425,9541) = 4054925 / 1

LCM(425,9541) = 4054925

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FAQs on GCF of Fractions of 1730/425, 3889/9541

1. What is the HCF of 1730,3889?

The HCF of 1730,3889 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 1730/425, 3889/9541?

Answer: GCF of Numerators as per given numbers 1730/425, 3889/9541 is

GCF of Numerators i.e. for 1730,3889 is 1

LCM of denominators i.e. for 425,9541 is 4054925.

Thus, GCF of Fractions is 1/4054925.Finally, GCF of Fractions for 1730/425, 3889/9541 is 1/4054925.