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 7737/240, 2239/782

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 7737/240, 2239/782 i.e 1/93840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7737/240, 2239/782.

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 7737/240,2239/782?

Given fractions are 7737/240,2239/782

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 7737/240,2239/782, numerators are 7737,2239

Denominators are 240,782

The GCF of 7737,2239 is 1 .

LCM of 240,782 is 93840.

The greatest common factor of 7737/240,2239/782 = [GCF of 7737,2239]/[LCM of 240,782]= 1/93840

Therefore, the GCF of 7737/240,2239/782 is 1/93840.

Greatest Common Factor of 7737,2239

To find the highest common factor of 7737,2239, we have to find the factors of both numbers and list the highest common factor.

The factors of 7737 are 1, 3, 2579, 7737

The factors of 2239 are 1, 2239

The HCF of 7737,2239 is 1.

Lets's calculate GCF of 7737,2239

Greatest Common Factor (GCF) of 7737,2239 By Common Division

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

Greatest Common Factor of 7737,2239 By Matching Biggest Common Factor Method

Greatest Common Factor of 7737,2239 By Matching Biggest Common Factor Method

Now, list down the factors of 7737

:

1,3,2579,7737

Now, list down the factors of 2239

:

1,2239

Greatest Common Factor

We found the factors 7737,2239 . The biggest common factor number is the GCF number.
So the greatest common factor 7737,2239 is 1.

Lets's calculate LCM of 240,782

Lowest Common Multiple of 240,782 using Common Division

2 240, 782
120, 391

∴ So the LCM of the given numbers is 2 x 120 x 391 = 93840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93840

Therefore, the GCF of Fractions 7737/240,2239/782 is 1/93840

Least Common Multiple of 240,782 with GCF Formula

Least Common Multiple of 240,782 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 240,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,782) = 2

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

GCF(240,782) x common factors =2 x 1 = 2

LCM(240,782) = ( 240 × 782 ) / 2

LCM(240,782) = 187680 / 2

LCM(240,782) = 93840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7737/240, 2239/782

1. What is the HCF of 7737,2239?

The HCF of 7737,2239 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 7737/240, 2239/782?

Answer: GCF of Numerators as per given numbers 7737/240, 2239/782 is

GCF of Numerators i.e. for 7737,2239 is 1

LCM of denominators i.e. for 240,782 is 93840.

Thus, GCF of Fractions is 1/93840.Finally, GCF of Fractions for 7737/240, 2239/782 is 1/93840.