How to Find GCF of 25/92, 619/63, 805/161?

GCF of 25/92, 619/63, 805/161

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 25/92, 619/63, 805/161 i.e 1/5796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/92, 619/63, 805/161.

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 25/92,619/63,805/161?

Given fractions are 25/92,619/63,805/161

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 25/92,619/63,805/161, numerators are 25,619,805

Denominators are 92,63,161

The GCF of 25,619,805 is 1 .

LCM of 92,63,161 is 5796.

The greatest common factor of 25/92,619/63,805/161 = [GCF of 25,619,805]/[LCM of 92,63,161]= 1/5796

Therefore, the GCF of 25/92,619/63,805/161 is 1/5796.

Greatest Common Factor of 25,619,805

To find the highest common factor of 25,619,805, we have to find the factors of both numbers and list the highest common factor.

The factors of 25 are 1, 5, 25

The factors of 619 are 1, 619

The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805

The HCF of 25,619,805 is 1.

Lets's calculate GCF of 25,619,805

Greatest Common Factor (GCF) of 25,619,805 By Common Division

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

Greatest Common Factor of 25,619,805 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 619

1,619

Now, list down the factors of 805

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 25,619,805 . The biggest common factor number is the GCF number.
So the greatest common factor 25,619,805 is 1.

Lets's calculate LCM of 92,63,161

Lowest Common Multiple of 92,63,161 using Common Division

7	92, 63, 161
23	92, 9, 23
	4, 9, 1

∴ So the LCM of the given numbers is 7 x 23 x 4 x 9 x 1 = 5796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796

Therefore, the GCF of Fractions 25/92,619/63,805/161 is 1/5796

Least Common Multiple of 92,63,161 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 92,63,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,63,161) = 1

common factors(in case of two or more numbers have common factors) = 161

GCF(92,63,161) x common factors =1 x 161 = 161

LCM(92,63,161) = ( 92 × 63 × 161 ) / 161

LCM(92,63,161) = 933156 / 161

LCM(92,63,161) = 5796

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 25/92, 619/63, 805/161

1. What is the HCF of 25,619,805?

The HCF of 25,619,805 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 25/92, 619/63, 805/161?

Answer: GCF of Numerators as per given numbers 25/92, 619/63, 805/161 is

GCF of Numerators i.e. for 25,619,805 is 1

LCM of denominators i.e. for 92,63,161 is 5796.

Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 25/92, 619/63, 805/161 is 1/5796.