How to Find GCF of 627/42, 499/934?

GCF of 627/42, 499/934

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 627/42, 499/934 i.e 1/19614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/42, 499/934.

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 627/42,499/934?

Given fractions are 627/42,499/934

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 627/42,499/934, numerators are 627,499

Denominators are 42,934

The GCF of 627,499 is 1 .

LCM of 42,934 is 19614.

The greatest common factor of 627/42,499/934 = [GCF of 627,499]/[LCM of 42,934]= 1/19614

Therefore, the GCF of 627/42,499/934 is 1/19614.

Greatest Common Factor of 627,499

To find the highest common factor of 627,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The factors of 499 are 1, 499

The HCF of 627,499 is 1.

Lets's calculate GCF of 627,499

Greatest Common Factor (GCF) of 627,499 By Common Division

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

Greatest Common Factor of 627,499 By Matching Biggest Common Factor Method

Now, list down the factors of 627

1,3,11,19,33,57,209,627

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 627,499 . The biggest common factor number is the GCF number.
So the greatest common factor 627,499 is 1.

Lets's calculate LCM of 42,934

Lowest Common Multiple of 42,934 using Common Division

2	42, 934
	21, 467

∴ So the LCM of the given numbers is 2 x 21 x 467 = 19614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19614

Therefore, the GCF of Fractions 627/42,499/934 is 1/19614

Least Common Multiple of 42,934 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 42,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,934) = 2

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

GCF(42,934) x common factors =2 x 1 = 2

LCM(42,934) = ( 42 × 934 ) / 2

LCM(42,934) = 39228 / 2

LCM(42,934) = 19614

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 627/42, 499/934

1. What is the HCF of 627,499?

The HCF of 627,499 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 627/42, 499/934?

Answer: GCF of Numerators as per given numbers 627/42, 499/934 is

GCF of Numerators i.e. for 627,499 is 1

LCM of denominators i.e. for 42,934 is 19614.

Thus, GCF of Fractions is 1/19614.Finally, GCF of Fractions for 627/42, 499/934 is 1/19614.