How to Find GCF of 25/760, 192/719, 941/368?

GCF of 25/760, 192/719, 941/368

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 25/760, 192/719, 941/368 i.e 1/25136240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/760, 192/719, 941/368.

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 25/760,192/719,941/368?

Given fractions are 25/760,192/719,941/368

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 25/760,192/719,941/368, numerators are 25,192,941

Denominators are 760,719,368

The GCF of 25,192,941 is 1 .

LCM of 760,719,368 is 25136240.

The greatest common factor of 25/760,192/719,941/368 = [GCF of 25,192,941]/[LCM of 760,719,368]= 1/25136240

Therefore, the GCF of 25/760,192/719,941/368 is 1/25136240.

Greatest Common Factor of 25,192,941

To find the highest common factor of 25,192,941, 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 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

The factors of 941 are 1, 941

The HCF of 25,192,941 is 1.

Lets's calculate GCF of 25,192,941

Greatest Common Factor (GCF) of 25,192,941 By Common Division

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

Greatest Common Factor of 25,192,941 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 192

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Now, list down the factors of 941

1,941

Greatest Common Factor

We found the factors 25,192,941 . The biggest common factor number is the GCF number.
So the greatest common factor 25,192,941 is 1.

Lets's calculate LCM of 760,719,368

Lowest Common Multiple of 760,719,368 using Common Division

2	760, 719, 368
2	380, 719, 184
2	190, 719, 92
	95, 719, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 719 x 46 = 25136240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25136240

Therefore, the GCF of Fractions 25/760,192/719,941/368 is 1/25136240

Least Common Multiple of 760,719,368 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 760,719,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,719,368) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(760,719,368) x common factors =1 x 8 = 8

LCM(760,719,368) = ( 760 × 719 × 368 ) / 8

LCM(760,719,368) = 201089920 / 8

LCM(760,719,368) = 25136240

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 25/760, 192/719, 941/368

1. What is the HCF of 25,192,941?

The HCF of 25,192,941 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 25/760, 192/719, 941/368?

Answer: GCF of Numerators as per given numbers 25/760, 192/719, 941/368 is

GCF of Numerators i.e. for 25,192,941 is 1

LCM of denominators i.e. for 760,719,368 is 25136240.

Thus, GCF of Fractions is 1/25136240.Finally, GCF of Fractions for 25/760, 192/719, 941/368 is 1/25136240.