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GCF of 1444/695, 9559/308

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 1444/695, 9559/308 i.e 1/214060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1444/695, 9559/308.

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 1444/695,9559/308?

Given fractions are 1444/695,9559/308

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 1444/695,9559/308, numerators are 1444,9559

Denominators are 695,308

The GCF of 1444,9559 is 1 .

LCM of 695,308 is 214060.

The greatest common factor of 1444/695,9559/308 = [GCF of 1444,9559]/[LCM of 695,308]= 1/214060

Therefore, the GCF of 1444/695,9559/308 is 1/214060.

Greatest Common Factor of 1444,9559

To find the highest common factor of 1444,9559, we have to find the factors of both numbers and list the highest common factor.

The factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444

The factors of 9559 are 1, 11, 79, 121, 869, 9559

The HCF of 1444,9559 is 1.

Lets's calculate GCF of 1444,9559

Greatest Common Factor (GCF) of 1444,9559 By Common Division

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

Greatest Common Factor of 1444,9559 By Matching Biggest Common Factor Method

Greatest Common Factor of 1444,9559 By Matching Biggest Common Factor Method

Now, list down the factors of 1444

:

1,2,4,19,38,76,361,722,1444

Now, list down the factors of 9559

:

1,11,79,121,869,9559

Greatest Common Factor

We found the factors 1444,9559 . The biggest common factor number is the GCF number.
So the greatest common factor 1444,9559 is 1.


Lets's calculate LCM of 695,308

Lowest Common Multiple of 695,308 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 214060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214060

Therefore, the GCF of Fractions 1444/695,9559/308 is 1/214060

Least Common Multiple of 695,308 with GCF Formula

Least Common Multiple of 695,308 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 695,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,308) = 1

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

GCF(695,308) x common factors =1 x 1 = 1

LCM(695,308) = ( 695 × 308 ) / 1

LCM(695,308) = 214060 / 1

LCM(695,308) = 214060


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1444/695, 9559/308

1. What is the HCF of 1444,9559?

The HCF of 1444,9559 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 1444/695, 9559/308?

Answer: GCF of Numerators as per given numbers 1444/695, 9559/308 is

GCF of Numerators i.e. for 1444,9559 is 1

LCM of denominators i.e. for 695,308 is 214060.

Thus, GCF of Fractions is 1/214060.Finally, GCF of Fractions for 1444/695, 9559/308 is 1/214060.