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GCF of 1239/706, 3040/8627

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 1239/706, 3040/8627 i.e 1/6090662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1239/706, 3040/8627.

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 1239/706,3040/8627?

Given fractions are 1239/706,3040/8627

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 1239/706,3040/8627, numerators are 1239,3040

Denominators are 706,8627

The GCF of 1239,3040 is 1 .

LCM of 706,8627 is 6090662.

The greatest common factor of 1239/706,3040/8627 = [GCF of 1239,3040]/[LCM of 706,8627]= 1/6090662

Therefore, the GCF of 1239/706,3040/8627 is 1/6090662.

Greatest Common Factor of 1239,3040

To find the highest common factor of 1239,3040, we have to find the factors of both numbers and list the highest common factor.

The factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239

The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040

The HCF of 1239,3040 is 1.

Lets's calculate GCF of 1239,3040

Greatest Common Factor (GCF) of 1239,3040 By Common Division

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

Greatest Common Factor of 1239,3040 By Matching Biggest Common Factor Method

Greatest Common Factor of 1239,3040 By Matching Biggest Common Factor Method

Now, list down the factors of 1239

:

1,3,7,21,59,177,413,1239

Now, list down the factors of 3040

:

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors 1239,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 1239,3040 is 1.


Lets's calculate LCM of 706,8627

Lowest Common Multiple of 706,8627 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6090662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6090662

Therefore, the GCF of Fractions 1239/706,3040/8627 is 1/6090662

Least Common Multiple of 706,8627 with GCF Formula

Least Common Multiple of 706,8627 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 706,8627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,8627) = 1

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

GCF(706,8627) x common factors =1 x 1 = 1

LCM(706,8627) = ( 706 × 8627 ) / 1

LCM(706,8627) = 6090662 / 1

LCM(706,8627) = 6090662


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1239/706, 3040/8627

1. What is the HCF of 1239,3040?

The HCF of 1239,3040 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 1239/706, 3040/8627?

Answer: GCF of Numerators as per given numbers 1239/706, 3040/8627 is

GCF of Numerators i.e. for 1239,3040 is 1

LCM of denominators i.e. for 706,8627 is 6090662.

Thus, GCF of Fractions is 1/6090662.Finally, GCF of Fractions for 1239/706, 3040/8627 is 1/6090662.