How to Find GCF of 1706/173, 2925/5241?

GCF of 1706/173, 2925/5241

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 1706/173, 2925/5241 i.e 1/906693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1706/173, 2925/5241.

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 1706/173,2925/5241?

Given fractions are 1706/173,2925/5241

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 1706/173,2925/5241, numerators are 1706,2925

Denominators are 173,5241

The GCF of 1706,2925 is 1 .

LCM of 173,5241 is 906693.

The greatest common factor of 1706/173,2925/5241 = [GCF of 1706,2925]/[LCM of 173,5241]= 1/906693

Therefore, the GCF of 1706/173,2925/5241 is 1/906693.

Greatest Common Factor of 1706,2925

To find the highest common factor of 1706,2925, we have to find the factors of both numbers and list the highest common factor.

The factors of 1706 are 1, 2, 853, 1706

The factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925

The HCF of 1706,2925 is 1.

Lets's calculate GCF of 1706,2925

Greatest Common Factor (GCF) of 1706,2925 By Common Division

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

Greatest Common Factor of 1706,2925 By Matching Biggest Common Factor Method

Now, list down the factors of 1706

1,2,853,1706

Now, list down the factors of 2925

1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925

Greatest Common Factor

We found the factors 1706,2925 . The biggest common factor number is the GCF number.
So the greatest common factor 1706,2925 is 1.

Lets's calculate LCM of 173,5241

Lowest Common Multiple of 173,5241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 906693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906693

Therefore, the GCF of Fractions 1706/173,2925/5241 is 1/906693

Least Common Multiple of 173,5241 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 173,5241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,5241) = 1

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

GCF(173,5241) x common factors =1 x 1 = 1

LCM(173,5241) = ( 173 × 5241 ) / 1

LCM(173,5241) = 906693 / 1

LCM(173,5241) = 906693

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FAQs on GCF of Fractions of 1706/173, 2925/5241

1. What is the HCF of 1706,2925?

The HCF of 1706,2925 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 1706/173, 2925/5241?

Answer: GCF of Numerators as per given numbers 1706/173, 2925/5241 is

GCF of Numerators i.e. for 1706,2925 is 1

LCM of denominators i.e. for 173,5241 is 906693.

Thus, GCF of Fractions is 1/906693.Finally, GCF of Fractions for 1706/173, 2925/5241 is 1/906693.