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 7213/280, 7499/6247

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 7213/280, 7499/6247 i.e 1/1749160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7213/280, 7499/6247.

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 7213/280,7499/6247?

Given fractions are 7213/280,7499/6247

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 7213/280,7499/6247, numerators are 7213,7499

Denominators are 280,6247

The GCF of 7213,7499 is 1 .

LCM of 280,6247 is 1749160.

The greatest common factor of 7213/280,7499/6247 = [GCF of 7213,7499]/[LCM of 280,6247]= 1/1749160

Therefore, the GCF of 7213/280,7499/6247 is 1/1749160.

Greatest Common Factor of 7213,7499

To find the highest common factor of 7213,7499, we have to find the factors of both numbers and list the highest common factor.

The factors of 7213 are 1, 7213

The factors of 7499 are 1, 7499

The HCF of 7213,7499 is 1.

Lets's calculate GCF of 7213,7499

Greatest Common Factor (GCF) of 7213,7499 By Common Division

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

Greatest Common Factor of 7213,7499 By Matching Biggest Common Factor Method

Greatest Common Factor of 7213,7499 By Matching Biggest Common Factor Method

Now, list down the factors of 7213

:

1,7213

Now, list down the factors of 7499

:

1,7499

Greatest Common Factor

We found the factors 7213,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 7213,7499 is 1.

Lets's calculate LCM of 280,6247

Lowest Common Multiple of 280,6247 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1749160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1749160

Therefore, the GCF of Fractions 7213/280,7499/6247 is 1/1749160

Least Common Multiple of 280,6247 with GCF Formula

Least Common Multiple of 280,6247 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 280,6247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,6247) = 1

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

GCF(280,6247) x common factors =1 x 1 = 1

LCM(280,6247) = ( 280 × 6247 ) / 1

LCM(280,6247) = 1749160 / 1

LCM(280,6247) = 1749160


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7213/280, 7499/6247

1. What is the HCF of 7213,7499?

The HCF of 7213,7499 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 7213/280, 7499/6247?

Answer: GCF of Numerators as per given numbers 7213/280, 7499/6247 is

GCF of Numerators i.e. for 7213,7499 is 1

LCM of denominators i.e. for 280,6247 is 1749160.

Thus, GCF of Fractions is 1/1749160.Finally, GCF of Fractions for 7213/280, 7499/6247 is 1/1749160.