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 7507/298, 7621/3338

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 7507/298, 7621/3338 i.e 1/497362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7507/298, 7621/3338.

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 7507/298,7621/3338?

Given fractions are 7507/298,7621/3338

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 7507/298,7621/3338, numerators are 7507,7621

Denominators are 298,3338

The GCF of 7507,7621 is 1 .

LCM of 298,3338 is 497362.

The greatest common factor of 7507/298,7621/3338 = [GCF of 7507,7621]/[LCM of 298,3338]= 1/497362

Therefore, the GCF of 7507/298,7621/3338 is 1/497362.

Greatest Common Factor of 7507,7621

To find the highest common factor of 7507,7621, we have to find the factors of both numbers and list the highest common factor.

The factors of 7507 are 1, 7507

The factors of 7621 are 1, 7621

The HCF of 7507,7621 is 1.

Lets's calculate GCF of 7507,7621

Greatest Common Factor (GCF) of 7507,7621 By Common Division

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

Greatest Common Factor of 7507,7621 By Matching Biggest Common Factor Method

Greatest Common Factor of 7507,7621 By Matching Biggest Common Factor Method

Now, list down the factors of 7507

:

1,7507

Now, list down the factors of 7621

:

1,7621

Greatest Common Factor

We found the factors 7507,7621 . The biggest common factor number is the GCF number.
So the greatest common factor 7507,7621 is 1.

Lets's calculate LCM of 298,3338

Lowest Common Multiple of 298,3338 using Common Division

2 298, 3338
149, 1669

∴ So the LCM of the given numbers is 2 x 149 x 1669 = 497362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497362

Therefore, the GCF of Fractions 7507/298,7621/3338 is 1/497362

Least Common Multiple of 298,3338 with GCF Formula

Least Common Multiple of 298,3338 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 298,3338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,3338) = 2

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

GCF(298,3338) x common factors =2 x 1 = 2

LCM(298,3338) = ( 298 × 3338 ) / 2

LCM(298,3338) = 994724 / 2

LCM(298,3338) = 497362


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7507/298, 7621/3338

1. What is the HCF of 7507,7621?

The HCF of 7507,7621 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 7507/298, 7621/3338?

Answer: GCF of Numerators as per given numbers 7507/298, 7621/3338 is

GCF of Numerators i.e. for 7507,7621 is 1

LCM of denominators i.e. for 298,3338 is 497362.

Thus, GCF of Fractions is 1/497362.Finally, GCF of Fractions for 7507/298, 7621/3338 is 1/497362.