LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 7019/648, 8491/427

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 7019/648, 8491/427 i.e 1/276696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7019/648, 8491/427.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7019/648,8491/427?

Given fractions are 7019/648,8491/427

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 7019/648,8491/427, numerators are 7019,8491

Denominators are 648,427

The GCF of 7019,8491 is 1 .

LCM of 648,427 is 276696.

The greatest common factor of 7019/648,8491/427 = [GCF of 7019,8491]/[LCM of 648,427]= 1/276696

Therefore, the GCF of 7019/648,8491/427 is 1/276696.

Greatest Common Factor of 7019,8491

To find the highest common factor of 7019,8491, we have to find the factors of both numbers and list the highest common factor.

The factors of 7019 are 1, 7019

The factors of 8491 are 1, 7, 1213, 8491

The HCF of 7019,8491 is 1.

Lets's calculate GCF of 7019,8491

Greatest Common Factor (GCF) of 7019,8491 By Common Division

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

Greatest Common Factor of 7019,8491 By Matching Biggest Common Factor Method

Greatest Common Factor of 7019,8491 By Matching Biggest Common Factor Method

Now, list down the factors of 7019

:

1,7019

Now, list down the factors of 8491

:

1,7,1213,8491

Greatest Common Factor

We found the factors 7019,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 7019,8491 is 1.

Lets's calculate LCM of 648,427

Lowest Common Multiple of 648,427 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 276696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276696

Therefore, the GCF of Fractions 7019/648,8491/427 is 1/276696

Least Common Multiple of 648,427 with GCF Formula

Least Common Multiple of 648,427 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 648,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,427) = 1

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

GCF(648,427) x common factors =1 x 1 = 1

LCM(648,427) = ( 648 × 427 ) / 1

LCM(648,427) = 276696 / 1

LCM(648,427) = 276696


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7019/648, 8491/427

1. What is the HCF of 7019,8491?

The HCF of 7019,8491 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 7019/648, 8491/427?

Answer: GCF of Numerators as per given numbers 7019/648, 8491/427 is

GCF of Numerators i.e. for 7019,8491 is 1

LCM of denominators i.e. for 648,427 is 276696.

Thus, GCF of Fractions is 1/276696.Finally, GCF of Fractions for 7019/648, 8491/427 is 1/276696.