How to Find GCF of 734/295, 499/412?

GCF of 734/295, 499/412

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 734/295, 499/412 i.e 1/121540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/295, 499/412.

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 734/295,499/412?

Given fractions are 734/295,499/412

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 734/295,499/412, numerators are 734,499

Denominators are 295,412

The GCF of 734,499 is 1 .

LCM of 295,412 is 121540.

The greatest common factor of 734/295,499/412 = [GCF of 734,499]/[LCM of 295,412]= 1/121540

Therefore, the GCF of 734/295,499/412 is 1/121540.

Greatest Common Factor of 734,499

To find the highest common factor of 734,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 734 are 1, 2, 367, 734

The factors of 499 are 1, 499

The HCF of 734,499 is 1.

Lets's calculate GCF of 734,499

Greatest Common Factor (GCF) of 734,499 By Common Division

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

Greatest Common Factor of 734,499 By Matching Biggest Common Factor Method

Now, list down the factors of 734

1,2,367,734

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 734,499 . The biggest common factor number is the GCF number.
So the greatest common factor 734,499 is 1.

Lets's calculate LCM of 295,412

Lowest Common Multiple of 295,412 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 121540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121540

Therefore, the GCF of Fractions 734/295,499/412 is 1/121540

Least Common Multiple of 295,412 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 295,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,412) = 1

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

GCF(295,412) x common factors =1 x 1 = 1

LCM(295,412) = ( 295 × 412 ) / 1

LCM(295,412) = 121540 / 1

LCM(295,412) = 121540

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FAQs on GCF of Fractions of 734/295, 499/412

1. What is the HCF of 734,499?

The HCF of 734,499 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 734/295, 499/412?

Answer: GCF of Numerators as per given numbers 734/295, 499/412 is

GCF of Numerators i.e. for 734,499 is 1

LCM of denominators i.e. for 295,412 is 121540.

Thus, GCF of Fractions is 1/121540.Finally, GCF of Fractions for 734/295, 499/412 is 1/121540.