How to Find GCF of 6301/947, 3135/7165?

GCF of 6301/947, 3135/7165

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 6301/947, 3135/7165 i.e 1/6785255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6301/947, 3135/7165.

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 6301/947,3135/7165?

Given fractions are 6301/947,3135/7165

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 6301/947,3135/7165, numerators are 6301,3135

Denominators are 947,7165

The GCF of 6301,3135 is 1 .

LCM of 947,7165 is 6785255.

The greatest common factor of 6301/947,3135/7165 = [GCF of 6301,3135]/[LCM of 947,7165]= 1/6785255

Therefore, the GCF of 6301/947,3135/7165 is 1/6785255.

Greatest Common Factor of 6301,3135

To find the highest common factor of 6301,3135, we have to find the factors of both numbers and list the highest common factor.

The factors of 6301 are 1, 6301

The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135

The HCF of 6301,3135 is 1.

Lets's calculate GCF of 6301,3135

Greatest Common Factor (GCF) of 6301,3135 By Common Division

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

Greatest Common Factor of 6301,3135 By Matching Biggest Common Factor Method

Now, list down the factors of 6301

1,6301

Now, list down the factors of 3135

1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135

Greatest Common Factor

We found the factors 6301,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 6301,3135 is 1.

Lets's calculate LCM of 947,7165

Lowest Common Multiple of 947,7165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6785255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6785255

Therefore, the GCF of Fractions 6301/947,3135/7165 is 1/6785255

Least Common Multiple of 947,7165 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 947,7165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,7165) = 1

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

GCF(947,7165) x common factors =1 x 1 = 1

LCM(947,7165) = ( 947 × 7165 ) / 1

LCM(947,7165) = 6785255 / 1

LCM(947,7165) = 6785255

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6301/947, 3135/7165

1. What is the HCF of 6301,3135?

The HCF of 6301,3135 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 6301/947, 3135/7165?

Answer: GCF of Numerators as per given numbers 6301/947, 3135/7165 is

GCF of Numerators i.e. for 6301,3135 is 1

LCM of denominators i.e. for 947,7165 is 6785255.

Thus, GCF of Fractions is 1/6785255.Finally, GCF of Fractions for 6301/947, 3135/7165 is 1/6785255.