How to Find GCF of 425/247, 2091/1646?

GCF of 425/247, 2091/1646

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 425/247, 2091/1646 i.e 17/406562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/247, 2091/1646.

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 425/247,2091/1646?

Given fractions are 425/247,2091/1646

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 425/247,2091/1646, numerators are 425,2091

Denominators are 247,1646

The GCF of 425,2091 is 17 .

LCM of 247,1646 is 406562.

The greatest common factor of 425/247,2091/1646 = [GCF of 425,2091]/[LCM of 247,1646]= 17/406562

Therefore, the GCF of 425/247,2091/1646 is 17/406562.

Greatest Common Factor of 425,2091

To find the highest common factor of 425,2091, we have to find the factors of both numbers and list the highest common factor.

The factors of 425 are 1, 5, 17, 25, 85, 425

The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091

The HCF of 425,2091 is 17.

Lets's calculate GCF of 425,2091

Greatest Common Factor (GCF) of 425,2091 By Common Division

17	425, 2091
	25, 123

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 425,2091 By Matching Biggest Common Factor Method

Now, list down the factors of 425

1,5,17,25,85,425

Now, list down the factors of 2091

1,3,17,41,51,123,697,2091

Greatest Common Factor

We found the factors 425,2091 . The biggest common factor number is the GCF number.
So the greatest common factor 425,2091 is 17.

Lets's calculate LCM of 247,1646

Lowest Common Multiple of 247,1646 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 406562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/406562

Therefore, the GCF of Fractions 425/247,2091/1646 is 17/406562

Least Common Multiple of 247,1646 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 247,1646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,1646) = 1

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

GCF(247,1646) x common factors =1 x 1 = 1

LCM(247,1646) = ( 247 × 1646 ) / 1

LCM(247,1646) = 406562 / 1

LCM(247,1646) = 406562

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FAQs on GCF of Fractions of 425/247, 2091/1646

1. What is the HCF of 425,2091?

The HCF of 425,2091 is 17

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 425/247, 2091/1646?

Answer: GCF of Numerators as per given numbers 425/247, 2091/1646 is

GCF of Numerators i.e. for 425,2091 is 17

LCM of denominators i.e. for 247,1646 is 406562.

Thus, GCF of Fractions is 17/406562.Finally, GCF of Fractions for 425/247, 2091/1646 is 17/406562.