How to Find GCF of 7173/867, 1745/556?

GCF of 7173/867, 1745/556

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 7173/867, 1745/556 i.e 1/482052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7173/867, 1745/556.

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 7173/867,1745/556?

Given fractions are 7173/867,1745/556

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 7173/867,1745/556, numerators are 7173,1745

Denominators are 867,556

The GCF of 7173,1745 is 1 .

LCM of 867,556 is 482052.

The greatest common factor of 7173/867,1745/556 = [GCF of 7173,1745]/[LCM of 867,556]= 1/482052

Therefore, the GCF of 7173/867,1745/556 is 1/482052.

Greatest Common Factor of 7173,1745

To find the highest common factor of 7173,1745, we have to find the factors of both numbers and list the highest common factor.

The factors of 7173 are 1, 3, 9, 797, 2391, 7173

The factors of 1745 are 1, 5, 349, 1745

The HCF of 7173,1745 is 1.

Lets's calculate GCF of 7173,1745

Greatest Common Factor (GCF) of 7173,1745 By Common Division

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

Greatest Common Factor of 7173,1745 By Matching Biggest Common Factor Method

Now, list down the factors of 7173

1,3,9,797,2391,7173

Now, list down the factors of 1745

1,5,349,1745

Greatest Common Factor

We found the factors 7173,1745 . The biggest common factor number is the GCF number.
So the greatest common factor 7173,1745 is 1.

Lets's calculate LCM of 867,556

Lowest Common Multiple of 867,556 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 482052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482052

Therefore, the GCF of Fractions 7173/867,1745/556 is 1/482052

Least Common Multiple of 867,556 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 867,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,556) = 1

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

GCF(867,556) x common factors =1 x 1 = 1

LCM(867,556) = ( 867 × 556 ) / 1

LCM(867,556) = 482052 / 1

LCM(867,556) = 482052

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FAQs on GCF of Fractions of 7173/867, 1745/556

1. What is the HCF of 7173,1745?

The HCF of 7173,1745 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 7173/867, 1745/556?

Answer: GCF of Numerators as per given numbers 7173/867, 1745/556 is

GCF of Numerators i.e. for 7173,1745 is 1

LCM of denominators i.e. for 867,556 is 482052.

Thus, GCF of Fractions is 1/482052.Finally, GCF of Fractions for 7173/867, 1745/556 is 1/482052.