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GCF of 391/739, 9436/308

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 391/739, 9436/308 i.e 1/227612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/739, 9436/308.

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 391/739,9436/308?

Given fractions are 391/739,9436/308

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 391/739,9436/308, numerators are 391,9436

Denominators are 739,308

The GCF of 391,9436 is 1 .

LCM of 739,308 is 227612.

The greatest common factor of 391/739,9436/308 = [GCF of 391,9436]/[LCM of 739,308]= 1/227612

Therefore, the GCF of 391/739,9436/308 is 1/227612.

Greatest Common Factor of 391,9436

To find the highest common factor of 391,9436, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436

The HCF of 391,9436 is 1.

Lets's calculate GCF of 391,9436

Greatest Common Factor (GCF) of 391,9436 By Common Division

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

Greatest Common Factor of 391,9436 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,9436 By Matching Biggest Common Factor Method

Now, list down the factors of 391

:

1,17,23,391

Now, list down the factors of 9436

:

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Greatest Common Factor

We found the factors 391,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 391,9436 is 1.


Lets's calculate LCM of 739,308

Lowest Common Multiple of 739,308 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 227612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227612

Therefore, the GCF of Fractions 391/739,9436/308 is 1/227612

Least Common Multiple of 739,308 with GCF Formula

Least Common Multiple of 739,308 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 739,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,308) = 1

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

GCF(739,308) x common factors =1 x 1 = 1

LCM(739,308) = ( 739 × 308 ) / 1

LCM(739,308) = 227612 / 1

LCM(739,308) = 227612


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 391/739, 9436/308

1. What is the HCF of 391,9436?

The HCF of 391,9436 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 391/739, 9436/308?

Answer: GCF of Numerators as per given numbers 391/739, 9436/308 is

GCF of Numerators i.e. for 391,9436 is 1

LCM of denominators i.e. for 739,308 is 227612.

Thus, GCF of Fractions is 1/227612.Finally, GCF of Fractions for 391/739, 9436/308 is 1/227612.