How to Find GCF of 762/91, 254/9083?

GCF of 762/91, 254/9083

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 762/91, 254/9083 i.e 254/826553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/91, 254/9083.

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 762/91,254/9083?

Given fractions are 762/91,254/9083

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 762/91,254/9083, numerators are 762,254

Denominators are 91,9083

The GCF of 762,254 is 254 .

LCM of 91,9083 is 826553.

The greatest common factor of 762/91,254/9083 = [GCF of 762,254]/[LCM of 91,9083]= 254/826553

Therefore, the GCF of 762/91,254/9083 is 254/826553.

Greatest Common Factor of 762,254

To find the highest common factor of 762,254, we have to find the factors of both numbers and list the highest common factor.

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The factors of 254 are 1, 2, 127, 254

The HCF of 762,254 is 254.

Lets's calculate GCF of 762,254

Greatest Common Factor (GCF) of 762,254 By Common Division

2	762, 254
127	381, 127
	3, 1

∴ So the GCF of the given numbers is 2 x 127 = 254

Greatest Common Factor of 762,254 By Matching Biggest Common Factor Method

Now, list down the factors of 762

1,2,3,6,127,254,381,762

Now, list down the factors of 254

1,2,127,254

Greatest Common Factor

We found the factors 762,254 . The biggest common factor number is the GCF number.
So the greatest common factor 762,254 is 254.

Lets's calculate LCM of 91,9083

Lowest Common Multiple of 91,9083 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 826553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 254/826553

Therefore, the GCF of Fractions 762/91,254/9083 is 254/826553

Least Common Multiple of 91,9083 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 91,9083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,9083) = 1

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

GCF(91,9083) x common factors =1 x 1 = 1

LCM(91,9083) = ( 91 × 9083 ) / 1

LCM(91,9083) = 826553 / 1

LCM(91,9083) = 826553

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FAQs on GCF of Fractions of 762/91, 254/9083

1. What is the HCF of 762,254?

The HCF of 762,254 is 254

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 762/91, 254/9083?

Answer: GCF of Numerators as per given numbers 762/91, 254/9083 is

GCF of Numerators i.e. for 762,254 is 254

LCM of denominators i.e. for 91,9083 is 826553.

Thus, GCF of Fractions is 254/826553.Finally, GCF of Fractions for 762/91, 254/9083 is 254/826553.