How to Find GCF of 9034/740, 5762/5119?

GCF of 9034/740, 5762/5119

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 9034/740, 5762/5119 i.e 2/3788060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9034/740, 5762/5119.

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 9034/740,5762/5119?

Given fractions are 9034/740,5762/5119

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 9034/740,5762/5119, numerators are 9034,5762

Denominators are 740,5119

The GCF of 9034,5762 is 2 .

LCM of 740,5119 is 3788060.

The greatest common factor of 9034/740,5762/5119 = [GCF of 9034,5762]/[LCM of 740,5119]= 2/3788060

Therefore, the GCF of 9034/740,5762/5119 is 2/3788060.

Greatest Common Factor of 9034,5762

To find the highest common factor of 9034,5762, we have to find the factors of both numbers and list the highest common factor.

The factors of 9034 are 1, 2, 4517, 9034

The factors of 5762 are 1, 2, 43, 67, 86, 134, 2881, 5762

The HCF of 9034,5762 is 2.

Lets's calculate GCF of 9034,5762

Greatest Common Factor (GCF) of 9034,5762 By Common Division

2	9034, 5762
	4517, 2881

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9034,5762 By Matching Biggest Common Factor Method

Now, list down the factors of 9034

1,2,4517,9034

Now, list down the factors of 5762

1,2,43,67,86,134,2881,5762

Greatest Common Factor

We found the factors 9034,5762 . The biggest common factor number is the GCF number.
So the greatest common factor 9034,5762 is 2.

Lets's calculate LCM of 740,5119

Lowest Common Multiple of 740,5119 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3788060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3788060

Therefore, the GCF of Fractions 9034/740,5762/5119 is 2/3788060

Least Common Multiple of 740,5119 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 740,5119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,5119) = 1

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

GCF(740,5119) x common factors =1 x 1 = 1

LCM(740,5119) = ( 740 × 5119 ) / 1

LCM(740,5119) = 3788060 / 1

LCM(740,5119) = 3788060

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FAQs on GCF of Fractions of 9034/740, 5762/5119

1. What is the HCF of 9034,5762?

The HCF of 9034,5762 is 2

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 9034/740, 5762/5119?

Answer: GCF of Numerators as per given numbers 9034/740, 5762/5119 is

GCF of Numerators i.e. for 9034,5762 is 2

LCM of denominators i.e. for 740,5119 is 3788060.

Thus, GCF of Fractions is 2/3788060.Finally, GCF of Fractions for 9034/740, 5762/5119 is 2/3788060.