How to Find GCF of 7842/601, 5267/5292?

GCF of 7842/601, 5267/5292

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 7842/601, 5267/5292 i.e 1/3180492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7842/601, 5267/5292.

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 7842/601,5267/5292?

Given fractions are 7842/601,5267/5292

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 7842/601,5267/5292, numerators are 7842,5267

Denominators are 601,5292

The GCF of 7842,5267 is 1 .

LCM of 601,5292 is 3180492.

The greatest common factor of 7842/601,5267/5292 = [GCF of 7842,5267]/[LCM of 601,5292]= 1/3180492

Therefore, the GCF of 7842/601,5267/5292 is 1/3180492.

Greatest Common Factor of 7842,5267

To find the highest common factor of 7842,5267, we have to find the factors of both numbers and list the highest common factor.

The factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842

The factors of 5267 are 1, 23, 229, 5267

The HCF of 7842,5267 is 1.

Lets's calculate GCF of 7842,5267

Greatest Common Factor (GCF) of 7842,5267 By Common Division

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

Greatest Common Factor of 7842,5267 By Matching Biggest Common Factor Method

Now, list down the factors of 7842

1,2,3,6,1307,2614,3921,7842

Now, list down the factors of 5267

1,23,229,5267

Greatest Common Factor

We found the factors 7842,5267 . The biggest common factor number is the GCF number.
So the greatest common factor 7842,5267 is 1.

Lets's calculate LCM of 601,5292

Lowest Common Multiple of 601,5292 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3180492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3180492

Therefore, the GCF of Fractions 7842/601,5267/5292 is 1/3180492

Least Common Multiple of 601,5292 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 601,5292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,5292) = 1

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

GCF(601,5292) x common factors =1 x 1 = 1

LCM(601,5292) = ( 601 × 5292 ) / 1

LCM(601,5292) = 3180492 / 1

LCM(601,5292) = 3180492

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7842/601, 5267/5292

1. What is the HCF of 7842,5267?

The HCF of 7842,5267 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 7842/601, 5267/5292?

Answer: GCF of Numerators as per given numbers 7842/601, 5267/5292 is

GCF of Numerators i.e. for 7842,5267 is 1

LCM of denominators i.e. for 601,5292 is 3180492.

Thus, GCF of Fractions is 1/3180492.Finally, GCF of Fractions for 7842/601, 5267/5292 is 1/3180492.