How to Find GCF of 8011/296, 7618/4028?

GCF of 8011/296, 7618/4028

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 8011/296, 7618/4028 i.e 1/298072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8011/296, 7618/4028.

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 8011/296,7618/4028?

Given fractions are 8011/296,7618/4028

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 8011/296,7618/4028, numerators are 8011,7618

Denominators are 296,4028

The GCF of 8011,7618 is 1 .

LCM of 296,4028 is 298072.

The greatest common factor of 8011/296,7618/4028 = [GCF of 8011,7618]/[LCM of 296,4028]= 1/298072

Therefore, the GCF of 8011/296,7618/4028 is 1/298072.

Greatest Common Factor of 8011,7618

To find the highest common factor of 8011,7618, we have to find the factors of both numbers and list the highest common factor.

The factors of 8011 are 1, 8011

The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618

The HCF of 8011,7618 is 1.

Lets's calculate GCF of 8011,7618

Greatest Common Factor (GCF) of 8011,7618 By Common Division

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

Greatest Common Factor of 8011,7618 By Matching Biggest Common Factor Method

Now, list down the factors of 8011

1,8011

Now, list down the factors of 7618

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 8011,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 8011,7618 is 1.

Lets's calculate LCM of 296,4028

Lowest Common Multiple of 296,4028 using Common Division

2	296, 4028
2	148, 2014
	74, 1007

∴ So the LCM of the given numbers is 2 x 2 x 74 x 1007 = 298072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298072

Therefore, the GCF of Fractions 8011/296,7618/4028 is 1/298072

Least Common Multiple of 296,4028 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 296,4028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,4028) = 4

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

GCF(296,4028) x common factors =4 x 1 = 4

LCM(296,4028) = ( 296 × 4028 ) / 4

LCM(296,4028) = 1192288 / 4

LCM(296,4028) = 298072

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8011/296, 7618/4028

1. What is the HCF of 8011,7618?

The HCF of 8011,7618 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 8011/296, 7618/4028?

Answer: GCF of Numerators as per given numbers 8011/296, 7618/4028 is

GCF of Numerators i.e. for 8011,7618 is 1

LCM of denominators i.e. for 296,4028 is 298072.

Thus, GCF of Fractions is 1/298072.Finally, GCF of Fractions for 8011/296, 7618/4028 is 1/298072.